Title: Proving 5D AGT conjecture and Duality under Changing Preferred Directions

Speaker: Masayuki Fukuda (University of Tokyo)

Abstract: We give a proof for the factorization property of the arbitrary matrix elements of the multi-valent intertwining operator (or refined topological vertex operator) associated with the Ding–Iohara–Miki algebra. That factorization formula provides us with a reasonable algebraic description of the 5D (K-theoretic) Alday-Gaiotto-Tachikawa (AGT) correspondence and the algebraic proof for the invariance under the preferred direction of the refined topological verices.

Time: Tuesday 25 June 2019, 2.30pm

Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4