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Non-abelian T-duality for nonrelativistic holographic duals. (English) Zbl 1388.83724

Summary: We find new type II backgrounds with non-relativistic symmetries via non-abelian T-duality. First we consider geometries with Galilean symmetries in type IIA, which have been identified as non-relativistic generalizations of the ABJM background and massive IIA supergravities. We then consider the non-abelian T-duality transformation on the backgrounds with Lifshitz symmetry constructed by Donos and Gauntlett. Using gauge/gravity duality we study aspects of the field theory dual to these backgrounds.

MSC:

83E50 Supergravity
83E30 String and superstring theories in gravitational theory
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
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