Poisson-Lie T-plurality revisited. Is T-duality unique?

Abstract

We investigate (non-)Abelian T-duality from the perspective of Poisson-Lie T-plurality. We show that sigma models related by duality/plurality are given not only by Manin triples obtained from decompositions of Drinfel'd double, but also by their particular embeddings, i.e. maps that relate bases of these decompositions. This allows us to get richer set of dual or plural sigma models than previously thought. That's why we ask how T-duality is defined and what should be the `canonical' duality or plurality transformation.

arXiv comment19 pages, v3 - published version

References in corpus (24)

• Duality, Quotients, and Currents
• Duality Symmetries from Non--Abelian Isometries in String Theories
• Dual Non-Abelian Duality and the Drinfeld Double
• On non-abelian T-dual geometries with Ramond fluxes
• Poisson-Lie T-duality
• On Non-Abelian Duality
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Exact solutions of closed string theory
• Integrable deformations of T-dual $\sigma$ models
• Poisson-Lie T-plurality
• On non-abelian T-duality and deformations of supercoset string sigma-models
• Classification of 6-dimensional real Drinfeld doubles
• Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T-duality
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• Penrose limits of Abelian and non-Abelian T-duals of $Ad{S}_5\times S^5$ and their field theory duals
• On non-Abelian T-duality for non-semisimple groups
• Classification of Poisson-Lie T-dual models with two-dimensional targets
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle
• Plane-parallel waves as duals of the flat background
• Hidden isometry of "T-duality without isometry"
• Plane-parallel waves as duals of the flat background II: T-duality with spectators
• On uniqueness of T-duality with spectators
• Plane-parallel waves as duals of the flat background III: T-duality with torsionless $B$-field

Cited by in corpus (5)

• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Cosmological string backgrounds from super Poisson-Lie T-plurality
• Poisson-Lie identities and dualities of Bianchi cosmologies
• T-folds as Poisson-Lie plurals
• Plane-parallel waves as Jacobi-Lie models