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Main Authors: Lunin, Oleg, Shah, Parita
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2311.14285
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author Lunin, Oleg
Shah, Parita
author_facet Lunin, Oleg
Shah, Parita
contents Spectral flow in two-dimensional field theories is known to correspond to geometrical twisting between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1) x SO(k+1) isometries with k>1 and perform various non-abelian T-dualities of the resulting twisted backgrounds. Combination of non-abelian twists and dualities leads to a new solution generating technique in supergravity, and we apply it to the geometries dual to supersymmetric states in N=4 super-Yang-Mills theory.
format Preprint
id arxiv_https___arxiv_org_abs_2311_14285
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Geometries with twisted spheres and non-abelian T-dualities
Lunin, Oleg
Shah, Parita
High Energy Physics - Theory
Spectral flow in two-dimensional field theories is known to correspond to geometrical twisting between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1) x SO(k+1) isometries with k>1 and perform various non-abelian T-dualities of the resulting twisted backgrounds. Combination of non-abelian twists and dualities leads to a new solution generating technique in supergravity, and we apply it to the geometries dual to supersymmetric states in N=4 super-Yang-Mills theory.
title Geometries with twisted spheres and non-abelian T-dualities
topic High Energy Physics - Theory
url https://arxiv.org/abs/2311.14285