Cosmological string backgrounds from super Poisson-Lie T-plurality

Abstract

We generalize the formulation of Poisson-Lie (PL) T-plurality proposed by R. von Unge [JHEP 07 (2002) 014] from Lie groups to Lie supergroups. By taking a convenient ansatz for metric of the σ-model in terms of the leftinvariant one-forms of the isometry Lie supergroups (C 3 + A) and GL(1|1) we construct cosmological string backgrounds, including (2 + 1|2)-dimensional metric, time-dependent dilaton and vanishing torsion, in a way that they satisfy the one-loop beta-function equations. Starting from the decompositions of semi-Abelian Drinfeld superdoubles (DSDs) generated by the (C 3 + A ) and gl(1|1) Lie super bi-algebras we find the conformal duality/plurality chains of 2 + 1-dimensional cosmological string backgrounds coupling with two fermionic fields. In particular, the new backgrounds obtained by the super PL T-plurality remain conformally invariant at one-loop level.

JT gravity from non-Abelian T-duality

“…The idea of extending the Abelian dualisation procedure to the case of backgrounds enjoying commuting superisometries was introduced in [46,47] and further developed in [48][49][50][51][52][53][54] -see also [55] for previous related work and [56] for a review. In recent years, it has led to various non-Abelian generalisations, formulated in terms of BRST techniques [57], super Poisson-Lie symmetry [58][59][60][61][62][63][64][65], Double Field Theory formalism [66][67][68][69], as well as manifestly supersymmetric generalizations of the NATD technique of de la Ossa and Quevedo [70][71][72][73][74][75][76],…”