On spectator dependence of Jacobi-Lie T-plurality

Abstract

Recently introduced Jacobi-Lie T-plurality turned out to be a solution-generating technique in string theory. Being based on Leibniz algebras instead of Drinfeld doubles, it can be understood as a generalization of Poisson-Lie T-plurality. In this paper we investigate Jacobi-Lie T-plurality with spectators, and focus particularly on modification of the spectator fields by an arbitrary function $f$. Using this modification new sigma model backgrounds can be constructed as Jacobi-Lie models. For low-dimensional Leibniz algebras classified a few years ago and warping factor $f(\omega )=\gamma e^{\omega }$ we find sigma model backgrounds satisfying Supergravity Equations and check that their plurals again satisfy Supergravity Equations.

References in corpus (18)

• Double Field Theory
• Generalized metric formulation of double field theory
• Duality, Quotients, and Currents
• Dual Non-Abelian Duality and the Drinfeld Double
• Some Global Aspects of Duality is String Theory
• Double Field Theory and N=4 Gauged Supergravity
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• Poisson-Lie T-duality
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• Poisson-Lie T-plurality
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• On non-Abelian T-duality for non-semisimple groups
• Poisson-Lie plurals of Bianchi cosmologies and Generalized Supergravity Equations
• Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds
• Classification of real low dimensional Jacobi(generalized)-Lie bialgebras
• Jacobi-Lie T-plurality
• Jacobi-Lie Models and Supergravity Equations
• Plane-parallel waves as Jacobi-Lie models