Home » DIAS » News & Events

M7.2 Peru earthquake, 14th January 2018

A magnitude 7.2 earthquake occurred on the 14th January 2018 at 09:18:46 UTC near the southern coast of Peru. For more details please see this post on the INSN homepage.

Quantum Physics: Fields, Particles & Information Geometry

Quantum Physics: Fields, Particles & Information Geometry is organised by the Dublin Institute for Advanced Studies In honour of A. P. Balachandran on the occasion of his 80th birthday.

It will be held at 10 Burlington Road, Dublin 4 from Monday 22nd until Friday 26th of January 2018.

View the conference website here.

M7.6 Honduras earthquake, 10th January 2018

A magnitude 7.6 earthquake occurred on the 10th January 2018 at 02:51:32 UTC north of Honduras. For more details please see

this post on the INSN homepage.

Photos from DIAS School of Theoretical Physics Statutory Public Lecture 2017 (15th December 2017)

Prof. Dr. Luciano Rezzolla (Goethe University of Frankfurt)

“The Physics and Astrophysics of Merging Neutron-Star Binaries” by Prof. Dr. Luciano Rezzolla (Goethe University of Frankfurt)

Abstract and Press Release

Watch the lecture here (Slides for the lecture)

l-r : Dr Eucharia Meehan (DIAS Registrar and CEO), Prof. Dr. Luciano Rezzolla , Professor Werner Nahm (Senior Professor and Director of the School of Theoretical Physics, DIAS)

11th December 2017 : Press Release on School of Theoretical Physics Statutory Public Lecture 2017


Monday, 11th December 2017

Prominent astrophysicist visits Ireland for talk on merging neutron-stars and gravitational waves

The Dublin Institute for Advanced Studies (DIAS) School of Cosmic Physics will host a special event this Friday (15.12.17) with visiting astrophysics expert, Professor Luciano Rezzolla.

The lecture entitled: “The Physics and Astrophysics of Merging Neutron-Star Binaries” will take place at the Edmund Burke Theatre (Room 1008), Arts Building, Trinity College Dublin from 6pm to 7pm.

Earlier this year, three DIAS scientists participated in the break-through discovery of gravitational waves from the merging of two neutron stars. Professor Rezzolla’s talk will explore the theory of gravity, neutron stars in binary systems, and the process made in modelling these systems.

The event is free to attend, and you can register now at Eventbrite: https://www.eventbrite.ie/e/the-physics-and-astrophysics-of-merging-neutron-star-binaries-tickets-39189101658


Further information, contact: Eva Dowling / Martina Quinn, Alice PR & Events. Tel: 083-1496045 / 087-6522033, email: media@alicepr.com


Notes to Editor

About DIAS

The Dublin Institute for Advanced Studies (DIAS) is a statutory corporation established in 1940 under the Institute for Advanced Studies Act of that year. It is a publicly-funded independent centre for research in basic disciplines. DIAS has three constituent schools: The School of Celtic Studies, The School of Theoretical Physics, The School of Cosmic Physics.


About Professor Luciano Rezzolla

Professor Rezzolla is Chair of Theoretical (Relativistic) Astrophysics and Director at the Institute for Theoretical Physics (ITP) of the Goethe University of Frankfurt, Germany. He is also Senior Fellow at the Frankfurt Institute of Advanced Studies (FIAS).

2017-12-5 – Seminar by Martin Möllhoff (DIAS)

5 December 2017Seminar

When: 16:00 on Tuesday, 5th December 2017
Where: DIAS, Geophysics Section, 5 Merrion Square, Dublin 2, (library)

Speaker: Martin Möllhoff (DIAS, Dublin, Ireland)
Title: New Developments at the Irish National Seismic Network (INSN).


Thirty-fifth Hugh M Fitzpatrick Lecture in Legal Bibliography in association with DIAS

The Thirty-fifth Hugh M. Fitzpatrick Lecture in Legal Bibliography took place at DIAS on Tuesday 28th November. The lecture entitled “De Valera and the creation of an independent Irish constitutional tradition” was given by Dr Martin Mansergh. The lecture was chaired by Síle de Valera, former Minister for Arts, Heritage, Gaeltacht and the Islands. An abstract of the lecture and a biography of Dr Mansergh are given below. Watch the lecture here.

Hugh M Fitzpatrick, the lecture series and founder, pictured with Dr Eucharia Meehan (DIAS Registrar & CEO), Dr Martin Mansergh and Síle de Valera

Dr Eucharia Meehan welcomes the audience.

The lecture entitled “De Valera and the creation of an independent Irish constitutional tradition” was chaired by Síle de Valera, former Minister for Arts, Heritage, Gaeltacht and the Islands



De Valera and the Creation of an Independent Irish Constitutional Tradition

As a member of Cumann na mBan, who was in the GPO, said in an interview afterwards, the purpose of the Rising was to create a national life of our own. The essence of this is expressed in Article 1 of Bunreacht na hÉireann, which is a comprehensive statement of political, economic and cultural national self-determination.

The roots of constitutional and democratic politics in Ireland lie in the mass movements of O’ Connell and Parnell. The concept of national self-determination goes back to 1790 and a lawyer in the French National Assembly Merlin de Douai. From the late 18th century, the most advanced vision was to create a national democracy in the form of a republic following the American and French models, but borrowing heavily from British legal, parliamentary, and administrative traditions, all of which would be suffused by Gaelic and Catholic values.

Many people contributed to the creation and subsequent development of the Irish State, now celebrating nearly a century of existence. De Valera not only helped to bring it into being as political leader of the independence struggle, but contributed decisively, after the misstep of the civil war, to the consolidation of democracy. He wanted above all for independent Ireland to be rooted in institutions with their own legitimacy, and not in a concession by Treaty or British Act of Parliament. In many respects, he was able to build on the work of his predecessors, with the continuity and progression as much as the break being more evident today.


Dr Martin Mansergh is Vice-Chair of the Expert Advisory Group on Commemorations. Between 2002 and 2011, he was a Fianna Fáil Senator, then TD (for Tipperary South), and Minister of State for OPW, Finance and the Arts. He was a member of the British-Irish Parliamentary Body, and President McAleese’s second Council of State. Former diplomat, then political advisor to Charles Haughey, Albert Reynolds, and Bertie Ahern, he was a back-channel to the Republican Movement, and, between 1992 and the 1994 IRA ceasefire, interlocutor with Martin McGuinness. He helped negotiate the Downing Street Declaration and the Good Friday Agreement. He is author of The Legacy of History, and co-winner of the 1994 Tipperary Peace Prize with Fr Alec Reid and Rev Roy Magee. Kevin Rafter published his biography in 2002.  He has been a columnist with the Sunday Business Post, the Irish Times, and the Irish Catholic.  He is a governor of Carlow College, and a board member of History Ireland.  Son of historian Nicholas Mansergh, he obtained a first-class Politics, Philosophy and Economics degree and a D Phil at Oxford, having attended King’s School Canterbury. He was recently conferred with a degree of Doctor of Laws, honoris causa, by the NUI.

Tuesday 5th December: STP Seminar – “An M5-Brane Model”

Title: An M5-Brane Model

Speaker: Christian Sämann (Heriot-Watt University)

Abstract: We show how to write an action for a classical six-dimensional superconfomal field theory containing a non-abelian tensor multiplet. All of the ingredients of this action have been available in the literature. We bring these pieces together by choosing the String Lie 2-algebra as a gauge structure which we motivate in some detail. The kinematical data contain a connection on a categorified principal bundle, which is the appropriate mathematical description of the parallel transport of self-dual strings. Our action can be written down for each of the simply laced Dynkin diagrams, and each case reduces to a four-dimensional supersymmetric Yang–Mills theory with corresponding gauge Lie algebra. Our action also reduces nicely to an M2-brane model which is a deformation of the ABJM model.

Time: Tuesday 5th December 2017, 2.30pm.

Place: Lecture Room, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4.

Thursday 30th November: STP Seminar – “Commuting Matrices, MacDonald Identities & Supersymmetric Gauge Theory”

Title: Commuting Matrices, MacDonald Identities & Supersymmetric Gauge Theory

Speaker: Giovanni Felder (ETH Zurich)

Abstract: I will introduce the notion of representation homology, following Berest, Khatchatrian and Ramadoss, and discuss some examples, applications and open problems about pairs of commuting matrices, generalizations of Macdonald constant term identitites and the Nekrasov partition function of N=2 supersymmetric gauge theory. The talk is based on joint work with Y. Berest, M. Müller-Lennert, S. Patotski, A. Ramadoss and T. Willwacher.

Time: Thursday 30th November 2017, 2.30pm.

Place: Lecture Room, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4.

CQG+ ‘Insight’ Article – A Kind Of Magic by Leron Borsten & Alessio Marrani

This paper was published in CQG+ – the companion blog to Classical and Quantum Gravity (CQG).

A Kind Of Magic

The road from Dunsink to the exceptional symmetries of M-theory

By Leron Borsten and Alessio Marrani 

Our journey starts in the fall of 1843 at the Dunsink Observatory[1], presiding from its hill-top vantage over the westerly reaches of Dublin City, seat to the then Astronomer Royal Sir William Rowan Hamilton. In the preceding months Hamilton had become preoccupied by the observation that multiplication by a complex phase induces a rotation in the Argand plane, revealing an intimate link between two-dimensional Euclidean geometry and the complex numbers ℂ. Fascinated by this unification of geometry and algebra, Hamilton set about the task of constructing a new number system that would do for three dimensions what the complexes did for two. After a series of trying failures, on October 16th 1843, while walking from the Dunsink Observatory to a meeting of the Royal Irish Academy on Dawson Street, Hamilton surmounted his apparent impasse in a moment of inspired clarity: rotations in three dimensions require a four-dimensional algebra with one real and three imaginary units satisfying the fundamental relations i= j= k= ijk = -1. The quaternions ℍ were thus born. Taken in that instant of epiphany, Hamilton etched his now famous equations onto the underside of Broome bridge, a cave painting illuminated not by campfire, but mathematical insight and imagination.  Like all great mathematical expressions, once seen they hang elegant and timeless, eternal patterns in the fixed stars merely chanced upon by our ancestral explorers.


Leron Borsten (left) and Alessio Marrani (right) stood before Hamilton’s fundamental relations, Broome bridge Dublin. Leron is currently a Schrödinger Fellow in the School of Theoretical Physics, Dublin Institute for Advanced Studies. Alessio is currently a Senior Grantee at the Enrico Fermi Research Centre, Roma.

This discovery set in motion a subtle dance intertwining algebra and symmetry. It invites diverse interpretations, but that which suits our purpose best is the realisation of the three families of classical simple Lie algebras, 𝔰𝔳(n+1), 𝔰𝔲(n+1), 𝔰𝔭(n+1), as the infinitesimal isometries of the real, complex and quaternionic projective spaces, ℝℙn, ℂℙn, ℍℙn. The classical Lie algebras are unified as rotations in real, complex and quaternionic universes. Yet, the five remaining exceptional simple Lie algebras, 𝔤2, 𝔣4, 𝔢6, 𝔢7, 𝔢8, are left unaccounted for and, from this perspective at least, geometrically enigmatic.

To remedy this shortcoming we must first return to Dublin, 1843. Hamilton’s college friend, John T. Graves, on receiving word of the quaternions was struck by their seemingly conjured existence, writing to Hamilton on October 26th: “If with your alchemy you can make three pounds of gold, why should you stop there?”. But two months later to the day, Graves reciprocated, sharing with Hamilton a further generalisation of the real ℝ, complex ℂ, and quaternionic ℍ numbers: the octonions 𝕆. Endowed with seven imaginary units, ei,  the octonions constitute the largest example of what are now known as the normed division algebras: ℝ, ℂ, ℍ, 𝕆. The multiplication rules of ei are governed by the Fano plane, as described in figure 1. Using the Cayley-Dickson doubling procedure we can build each algebra from two copies of its predecessor. However, with each doubling a property is lost. In particular, the octonions, unlike their well-mannered older siblings, are non-associative. This makes 𝕆 capricious and uncooperative, but also exceptional.


Figure 1: The Fano plane. Following the lines gives the multiplication rules of the imaginary octonions (going against the arrows, one picks up a minus sign).

Returning to the simple Lie algebras, the sequence ℝℙn, ℂℙn, ℍℙn cries out for the inclusion of 𝕆ℙn. The octonionic projective line 𝕆ℙ1 reproduces the classical Lie algebra 𝔰𝔳(8) already accommodated by ℝℙ7. However, the isometries of the next rung on the ladder, the Cayley plane 𝕆ℙ2, do indeed yield an exceptional algebra, namely 𝔣4. However, the non-associativity of 𝕆 renders 𝕆ℙn a bona fide projective space for ≤ 2 only and consequently the sequence ends here, hence the singular status of 𝔣4. It would seem, naively, that the remaining exceptional algebras do not fit into this story. However, when viewed in the right way, the Cayley plane realisation of 𝔣4 can be generalised by considering not one, but two algebras, ℝ ⊗ 𝕆, ℂ ⊗ 𝕆, ℍ ⊗ 𝕆, and 𝕆 ⊗ 𝕆 yielding precisely the exceptional Lie algebras 𝔣4, 𝔢6, 𝔢7, and 𝔢8. Allowing in this construction the two algebras to vary over all ℝ, ℂ, ℍ, 𝕆, we obtain what has come to be known as the Freudenthal-Rosenfeld-Tits magicsquare of Lie algebras, as depicted in figure 2. Since these early discoveries, the octonions have been found time and time again lurking in the corners where geometry meets algebra.


Figure 2: The Freudenthal-Rosenfeld-Tits magic square of Lie algebras. The exceptional algebras appear in the octonionic row/column. Each entry can be realised as a symmetry of supergravity.

Although it would be fair to say that the octonions have yet to cement themselves in the annals of physics they have over the years appeared in a variety of suggestive guises. One such occurrence takes place in M-theory, an ambitious, albeit tentative, approach to the challenges of quantum gravity and unification. Being fundamentally non-perturbative, M-theory remains largely mysterious. A vital piece of the puzzle in our present understanding is the notion of “U-duality”. The five consistent ten-dimensional superstring theories and eleven-dimensional supergravity are interconnected through a web of U-duality relations, leading to the conjecture that they merely represent disparate glimpses of a single overarching framework living in D = 11 spacetime dimensions: M-theory. To make contact with our daily four-dimensional experience one can compactify. Although phenomenologically irrelevant, the simplest example of a compactification is given by taking one dimension to form a circle. If the radius of the circle is small enough, this dimension becomes essentially undetectable. By compactifying on an n-torus, that is taking n dimensions as circles, we can descend to D = 11 – n dimensions. The low-energy effective field theory limit of M-theory compactified on an n-torus is the unique maximally supersymmetric D = 11 – n supergravity theory. In this limit, the U-dualities of M-theory are reflected in the global symmetries of the corresponding supergravity theory. In particular, for D = 5, 4, 3 or n = 6, 7, 8 the global symmetry algebras are given by the exceptional  Lie algebras sitting in the octonionic row/column of the magic square[2]. We have overlooked a subtlety here. On compactifying eleven-dimensional supergravity to D = 5, 4, 3 the 𝔢6, 𝔢7, 𝔢8 symmetries are initially hidden, revealing themselves only once a judicious choice of (generalised) electromagnetic duality transformations[3] has been applied.

What happens when some other choice of dualisations is made? Well, the manifest symmetries are typically different in each case. What we demonstrate in our paper is that there exists a choice of dualisations for which a fascinating generalisation of the magic square makes an unexpected appearance. On complexifying the normed division algebras, which we will continue to denote ℝ, ℂ, ℍ, 𝕆, two new algebras in the sequence emerge: the three-dimensional ternions 𝕋, nestled tightly between ℂ and ℍ, and the six-dimensional sextonions 𝕊 sitting half-way from ℍ to 𝕆. Including 𝕋 and 𝕊 in the magic square construction reveals two further half-levels, obscured from view between the oft-visited floors of the ℝ, ℂ, ℍ, 𝕆 edifice. In particular, the 𝕋 ⊗ 𝕆 and 𝕊 ⊗ 𝕆 entries yield the non-reductive exceptional Lie algebras 𝔢 and 𝔢, living half-lives somewhere in-between 𝔢6, 𝔢7, and 𝔢8. Remarkably, the entire extended magic square, and so implicitly our enlarged ℝ, ℂ, 𝕋, ℍ, 𝕊, 𝕆 family, is realised through the symmetry algebras of supergravity.

A kind of magic, if you will.

[1] Now a constituent of the Astronomy and Astrophysics section of the School of Cosmic Physics, Dublin Institute for Advanced Studies.

[2] For all the group theory and supergravity aficionados, please note we are not paying attention to the particular real forms that appear here and throughout.

[3] Not to be confused with the U-dualities of M-theory.

Further reading

Normed division algebras and the magic square:

J.C. Baez, The Octonions, Bull. Am. Math. Soc. 39 (2002), 145–205.

Supergravity, global symmetries and the magic square:

E. Cremmer, B. Julia, and J. Scherk, “Supergravity theory in 11 dimensions,” Phys. Lett. B76 (1978) 409–412.

E. Cremmer and B. Julia, “The SO(8) supergravity,” Nucl. Phys. B159 (1979) 141.

E. Cremmer, B. Julia, H. Lu, and C. Pope, “Dualization of dualities. 1.,” Nucl.Phys. B523 (1998) 73–144, arXiv:hep-th/9710119

B. Julia, “Group disintegrations,” in Superspace and Supergravity, S. Hawking and M. Rocek, eds., Nuffield Gravity Workshop, pp. 331–350. Cambridge University Press (1980).

M. Günaydin, G. Sierra, and P. K. Townsend, “Exceptional supergravity theories and the magic square,” Phys. Lett. B133 (1983) 72.

L. Borsten, M. J. Duff, L. J. Hughes, and S. Nagy, “A magic square from Yang-Mills squared,” Phys.Rev.Lett. 112 (2014) 131601, arXiv:1301.4176

Sextonions and the extended magic square:

B.W. Westbury, “Sextonions and the magic square,” Journal of the London Mathematical Society 73 (2006) no. 2, 455–474, arxiv:math/0411428 

J.M. Landsberg and L. Manivel, “The sextonions and 𝔢,” Advances in Mathematics 201 (2006) 2 no. 1, 143-179, arxiv:math/0402157

A. Marrani and P. Truini, “Sextonions, Zorn matrices, and 𝔢,” Letters in Mathematical Physics 107 (2017) no.10, 1859-1875, arXiv:1506.04604