Poisson Lie T-plurality as canonical transformation

@article{Hlavat2006PoissonLT,
  title={Poisson Lie T-plurality as canonical transformation},
  author={Ladislav Hlavat{\'y} and L {\vS}nobl},
  journal={Nuclear Physics},
  year={2006},
  volume={768},
  pages={209-218}
}
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8 Citations
Background Citations
2

8 Citations

Quantum equivalence in Poisson-Lie T-duality

We prove that, general σ-models related by Poisson-Lie T-duality are quantum equivalent under one-loop renormalization group flow. We reveal general properties of the flows, we study the associated…

On the Poisson-Lie T-plurality of boundary conditions

Conditions for the gluing matrix defining consistent boundary conditions of two-dimensional nonlinear σ-models are analyzed and reformulated. Transformation properties of the right-invariant fields…

Worldsheet boundary conditions in Poisson-Lie T-duality

We apply canonical Poisson-Lie T-duality transformations to bosonic open string worldsheet boundary conditions, showing that the form of these conditions is invariant at the classical level, and…

Cosmological string backgrounds from super Poisson-Lie T-plurality

Type II DFT solutions from Poisson–Lie $T$-duality/plurality

  • Y. Sakatani
  • Mathematics
    Progress of Theoretical and Experimental Physics
  • 2019
String theory has $T$-duality symmetry when the target space has Abelian isometries. A generalization of $T$-duality, where the isometry group is non-Abelian, is known as non-Abelian $T$-duality,…

Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T -duality

A bstractBased on the construction of Poisson-Lie T -dual σ-models from a common parent action we study a candidate for the non-abelian respectively Poisson-Lie T -duality group. This group…

Non-geometric backgrounds in string theory

Generalised (cid:13)uxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T -duality

: Based on the construction of Poisson-Lie T -dual (cid:27) -models from a common parent action we study a candidate for the non-abelian respectively Poisson-Lie T -duality group. This group…

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We extend the path-integral formalism for Poisson-Lie T-duality to include the case of Drinfeld doubles which can be decomposed into bi-algebras in more than one way. We give the correct shift of the…

Worldsheet boundary conditions in Poisson-Lie T-duality

We apply canonical Poisson-Lie T-duality transformations to bosonic open string worldsheet boundary conditions, showing that the form of these conditions is invariant at the classical level, and…

Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: nondiagonal metrics and dilaton puzzle

We look for 3-dimensional Poisson-Lie dualizable sigma models that satisfy the vanishing β-function equations with constant dilaton field. Using the Poisson-Lie T-plurality we then construct…

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Classical solutions of sigma models in curved backgrounds by the Poisson-Lie T-plurality

Classical equations of motion for three-dimensional σ-models in curved background are solved by a transformation that follows from the Poisson–Lie T-plurality and transform them into the equations in…

Classification of Six-Dimensional Real Drinfeld Doubles

Starting from the classification of real Manin triples we look for those that are isomorphic as six-dimensional Drinfeld doubles i.e. Lie algebras with the ad-invariant form used for construction of…

Canonical equivalence of non-isometric σ-models and Poisson-Lie T-duality