Title: Yang-Baxter sigma-models, conformal twists & noncommutative Yang-Mills
Speaker: Eoin Ó Colgáin (University of Surrey)
Abstract: The Yang-Baxter σ-model is a systematic way to generate integrable deformations of AdS5×S5. We recast the deformations as seen by open strings, where the metric is undeformed AdS5×S5 with constant string coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter Θ. We identify the deformations of AdS5 as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity conditon on r-matrices for supergravity solutions translates into Θ being divergence-free. Integrability of the σ-model for unimodular r-matrices implies the existence and planar integrability of the dual NC gauge theory.
Time: Monday 27th March 2017, 3.00pm.
Place: Lecture Room, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4.
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Last Updated: 23rd May 2018 by George Rogers
Monday 27th March: STP Seminar – “Yang-Baxter sigma-models, conformal twists & noncommutative Yang-Mills”
Title: Yang-Baxter sigma-models, conformal twists & noncommutative Yang-Mills
Speaker: Eoin Ó Colgáin (University of Surrey)
Abstract: The Yang-Baxter σ-model is a systematic way to generate integrable deformations of AdS5×S5. We recast the deformations as seen by open strings, where the metric is undeformed AdS5×S5 with constant string coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter Θ. We identify the deformations of AdS5 as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity conditon on r-matrices for supergravity solutions translates into Θ being divergence-free. Integrability of the σ-model for unimodular r-matrices implies the existence and planar integrability of the dual NC gauge theory.
Time: Monday 27th March 2017, 3.00pm.
Place: Lecture Room, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4.
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