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Poisson-Lie T-duality and Loop Groups of Drinfeld Doubles

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arxiv hep-th/9512040 v1 pith:KBGZP7NC submitted 1995-12-06 hep-th

C. Klimcik , P. Severa This is my paper · ORCID
classification hep-th
keywords drinfeldmodelsderivativedoublepairactiondualgives
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abstract

A duality invariant first order action is constructed on the loop group of a Drinfeld double. It gives at the same time the description of both of the pair of $\sigma$-models related by Poisson-Lie T-duality. Remarkably, the action contains a WZW-term on the Drinfeld double not only for conformally invariant $\si$-models. The resulting actions of the models from the dual pair differ just by a total derivative corresponding to an ambiguity in specifying a two-form whose exterior derivative is the WZW three-form. This total derivative is nothing but the Semenov-Tian-Shansky symplectic form on the Drinfeld double and it gives directly a generating function of the canonical transformation relating the $\si$-models from the dual pair.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Time-Dependent Integrability from Gauge Theory, I

    hep-th 2026-07 accept novelty 7.5 of 10

    Spacetime-dependent 4d Chern-Simons theory generates time-dependent integrable field theories whose allowed time dependence coincides with one-loop RG flow while preserving Lax integrability.

  2. Euclidean E-models

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Euclidean E-models are constructed by setting E squared equal to minus the identity on Drinfeld doubles, yielding a separate formalism for Euclidean Poisson-Lie T-duality, integrability criteria, and one-loop renormal...

  3. Twists of trigonometric sigma models

    hep-th 2025-04 accept novelty 7.0 of 10

    A new class of Z_N-twisted integrable sigma models is constructed from 4d Chern-Simons theory, and Z2 twisting by an outer automorphism of SU(n) produces models inequivalent to the untwisted ones.

  4. Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity

    hep-th 2025-01 conditional novelty 6.0 of 10

    Boundary reduction of 3d higher-spin Chern-Simons gravity yields covariant and gauge-fixed higher-derivative chiral-scalar actions for arbitrary spin s, with a factorized kinetic operator and special zero-mode backgrounds.

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