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Department of Mathematical Sciences


This week's seminars

Maths HEP Lunchtime Seminars: Integrability in lower dimensional AdS/CFT

Presented by Andrea Fontanella, University of Surrey

2 February 2018 13:00 in CM221

In this talk, I shall consider integrable scattering processes of massless string modes in AdS2 and AdS3 backgrounds.
In the first part, I will present a formulation of the Bethe ansatz in an AdS2 background by using a technique first developed in condensed matter. This technique relies on an particular algebraic equation which the S-matrix entries must satisfy, the so-called “free-fermion condition’’.
This technique allows us to overcome the problem of lack of reference state in AdS2 backgrounds, which prevented for many years the Bethe ansatz formulation within the standard procedure.
In the second part, I shall focus on an AdS3 background. I will show that the S-matrix, in addition to the background isometry, admits a further symmetry, the so-called "quantum deformed 2D Poincaré group". I will show how the novel symmetry allows us to interpret geometrically the scattering process in the fibre bundle language.
This talk is based on arXiv:1608.01631 [hep-th] and arXiv:1706.02634 [hep-th].

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