2pm - 3pm
Tuesday 4 September 2018

Black horizons and integrable structures in string theory

This talk is an overview of my doctoral research, which focused on geometric aspects of black holes and integrable structures in string theory.

39 AA 04
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Abstract

This talk is an overview of my doctoral research, which focused on geometric aspects of black holes and integrable structures in string theory.

The first part of my talk will be devoted to the study of symmetries of the horizon and its bulk extension. The horizon conjecture states that any horizon in any supergravity theory admits at least an sl(2,ℝ) isometry algebra. We shall consider the horizon conjecture beyond the supergravity approximation and show that standard global techniques, which are instrumental in the proof of the horizon conjecture, can no longer be applied. A sufficient condition to establish the horizon conjecture will be identified. As a consequence of our analysis, we find a no-go theorem for AdS2 backgrounds in heterotic theory. The bulk extension of a prescribed near-horizon geometry will also be considered. The horizon fields will be expanded at first order in the radial coordinate and the space of first order radial deformations will be shown to be finite dimensional.

In the second part, geometric aspects and spectral properties of integrable anti-de Sitter backgrounds will be discussed. We sketch our formulation of a Bethe ansatz in AdS2×S2×T6 type IIB superstring, which relies on the free-fermion condition and overcomes the problem of the lack of a pseudo-vacuum state. In AdS3×S3×T6 type IIB superstring, we show that the S-matrix is annihilated by the boost generator of the q-deformed Poincaré superalgebra, and interpret this condition as a parallel equation for the S-matrix with respect to a connection on a fibre bundle. This suggests that the algebraic problem of finding the S-matrix can be geometrically rewritten, leading to a potential notion of a Universal S-matrix.