Dual Non-Abelian Duality and the Drinfeld Double
C. Klimcik,Pavol Ševera +1 more
TLDR
In this article, the standard notion of non-Abelian duality in string theory is generalized to the class of σ-models admitting a Poisson-Lie-like 3ymmetry.About:
This article is published in Physics Letters B.The article was published on 1995-06-01 and is currently open access. It has received 443 citations till now. The article focuses on the topics: Duality (optimization) & Seiberg duality.read more
Citations
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Yang-Baxter σ-models and dS/AdS T-duality
TL;DR: In this article, the authors point out the existence of nonlinear σ-models on group manifolds which are left symmetric and right Poisson-Lie symmetric, and discuss the corresponding rich T-duality story with particular emphasis on two examples: the anisotropic principal chiral model and the SL(2,)/SU(2) WZW model.
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Yang-Baxter $\sigma$-models and dS/AdS T-duality
TL;DR: In this article, the authors point out the existence of nonlinear π-models on group manifolds which are left symmetric and right Poisson-Lie symmetric, and discuss the corresponding rich T-duality story with particular emphasis on two examples.
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Poisson-Lie T-duality and loop groups of Drinfeld doubles
C. Klimcik,Pavol Ševera +1 more
TL;DR: In this article, a duality invariant first order action is constructed on the loop group of a Drinfeld double, which gives at the same time the description of both σ-models in a pair related by Poisson-Lie T-duality.
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Duality Symmetric String and M-Theory
TL;DR: In this paper, the authors review recent developments in duality symmetric string theory and describe how spacetime may be extended to accommodate coordinates conjugate to brane wrapping modes and the construction of generalised metrics in this extended space that unite the bosonic fields of supergravity into a single object.
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On integrable deformations of superstring sigma models related to AdSn×Sn supercosets
Ben Hoare,Arkady A. Tseytlin +1 more
TL;DR: In this paper, integrable deformations of 2d sigma models on supercosets associated with AdS n × S n were considered, and the authors showed that the η-deformation model may be obtained from the λ-deformed one by a special scaling limit and analytic continuation in coordinates combined with a particular identification of the parameters of the two models.
References
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Book
Quantum Groups
TL;DR: In this paper, the authors introduce the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions and present the quantum groups attached to SL2 as well as the basic concepts of the Hopf algebras.
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Path-integral derivation of quantum duality in nonlinear sigma-models
TL;DR: In this article, the authors show that a previously derived shift in the dilaton field, which augments the classical effects of duality transformation on the geometry of a nonlinear sigma-model if conformal invariance is to be preserved at the one-loop level, can be extended without change to the case of sigma models with Wess-Zumino-Witten term (torsion) before and after duality.
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Duality, quotients, and currents
Martin Rocek,Erik Verlinde +1 more
TL;DR: The generalization of R → 1/R duality to arbitrary conformally invariant σ-models with an isometry was studied in this paper, where it was shown that any pair of dual σ models can be represented as quotients of a self-dual σ model obtained by gauging different combinations of chiral currents.
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Duality rotations in string theory
TL;DR: In this article, a dual σ-model with coordinates y α ( α = 1, α, n ) for which the roles of field equations and Bianchi identities are interchanged is introduced, and the hidden symmetries are made manifest by considering a target space of double the dimension with coordinates Z M = ( x μ, y α ).
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Duality symmetries from non-abelian isometries in string theory
TL;DR: In this article, the authors generalize this duality transformation to background with non-abelian isometries and show that this new transformation maps spaces with nonabelians to spaces that may have no isometria at all.