OKC/Nordita HighEnergy Physics Theory seminar
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Geometry of integrable structures and Bethe ansatz
OKC/Nordita HighEnergy Physics Theory seminar
Tuesday 18 December 2018
from
11:00
to
12:00
at
132:028
Speaker :
Andrea Fontanella
(University of Padova)
Abstract :
In this talk, I shall discuss geometric aspects and spectral properties of integrable antide Sitter backgrounds. In the first part, I will present a step towards the formulation of a Bethe ansatz in AdS2 x S2 x T6 type IIB superstring. The approach presented will rely on the freefermion condition and overcome the problem of lack of pseudovacuum state, which typically affects N=1 supersymmetric integrable models. In the second part, I will show that the Rmatrix in AdS3 x S3 x T6 type IIB superstring must satisfy a first order differential equation, which emerges as a consequence of the pseudoinvariance of the Rmatrix under the boost generator of the qdeformed PoincarĂ© superaglebra. This differential equation can be interpreted as a parallel equation for the Rmatrix with respect to a particular connection on a fibre bundle. The connection has infinitely many singularities on the base space, and it is flat on the nonsingular points. This suggests that the algebraic problem of finding the Rmatrix can be rewritten in a geometric language, leading to a potential notion of Universal Rmatrix. If time permits, I shall discuss recent progress of an ongoing project in this topic. This talk is based on a work in collaboration with Alessandro Torrielli, arXiv:1706.02634 and arXiv:1608.01631.
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Last modified 29 November 2018 20:07

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