Poisson-Lie Duality in the String Effective Action

Abstract

The symmetry properties of the bosonic string effective action under Poisson-Lie duality transformations are investigated. A convenient and simple formulation of these duality transformations is found, that allows the reduction of the string effective action in a Kaluza-Klein framework. It is shown that the action is invariant provided that the two Lie algebras, forming the Drinfeld double, have traceless structure constants. Finally, a functional relation is found between the Weyl anomaly coefficients of the original and dual non-linear sigma models.

26 pages, LaTeX

References in corpus (10)

• Duality-invariant class of two-dimensional field theories
• Target Space Duality I: General Theory
• Elementary introduction to pre-big bang cosmology and to the relic graviton background
• Target Space Duality II: Applications
• O(d,d) invariance at two and three loops
• T-Duality and Conformal Invariance at Two Loops
• Dualised sigma-models at the two-loop order
• Quantum structure of T-dualized models with symmetry breaking
• Non-Abelian Duality in the String Effective Action
• T-duality in the string theory effective action with a string source

Cited by in corpus (20)

• Poisson-Lie T-plurality
• Supergravity backgrounds of the eta-deformed AdS2 x S2 x T6 and AdS5 x S5 superstrings
• One loop renormalizability of the Poisson-Lie sigma models
• Quantum correction to generalized T-dualities
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Non-Abelian U-duality for membrane
• Poisson-Lie T-duality of String Effective Actions: A New Approach to the Dilaton Puzzle
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• BTZ black hole from Poisson-Lie T-dualizable sigma models with spectators
• Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle
• Exact conformal field theories from mutually T-dualizable $\sigma$-models
• Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group $H_4$
• String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
• Brane-worlds in T-dual Bulks
• T-duality/plurality of BTZ black hole metric coupled to two fermionic fields
• T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
• $Ad{S}_3\times S^3$ Background from Poisson-Lie T-Duality
• One-loop renormalizability of all 2d dimensional Poisson-Lie sigma-models
• New duality transformation in two-dimensional non-linear sigma models
• Non-Abelian target space duals of Thurston geometries