Integrable -deformations of the Euclidean black string

Sibylle Driezen (Instituto Galego de Física de Altas Enerxías (IGFAE), Universidade de Santiago de Compostela, Spain) ; Konstantinos Sfetsos (Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens, Greece)

Non-trivial outer algebra automorphisms may be utilized in λ-deformations of (gauged) WZW models thus providing an efficient way to construct new integrable models. We provide two such integrable deformations of the exact coset CFT SU(2)k×U(1)/U(1)q with a vector and axial residual gauge. Besides the integer level k and the deformation parameter λ, these models are characterized by the embedding parameter q of the U(1) factor. We show that an axial-vector T-duality persists along the deformations and, therefore, the models are canonically equivalent. We demonstrate integrability even though the space is non-symmetric and compute the RG-flow equations for the parameters λ and q. Our example provides an integrable deformation of the gravitational solution representing a Euclidean three-dimensional black string.

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      "surname": "Sfetsos", 
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      "full_name": "Sfetsos, Konstantinos", 
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      "title": "Integrable -deformations of the Euclidean black string"
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      "value": "Non-trivial outer algebra automorphisms may be utilized in \u03bb-deformations of (gauged) WZW models thus providing an efficient way to construct new integrable models. We provide two such integrable deformations of the exact coset CFT <math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mrow><mi>k</mi></mrow></msub><mo>\u00d7</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>/</mo><mi>U</mi><msub><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>q</mi></mrow></msub></math> with a vector and axial residual gauge. Besides the integer level k and the deformation parameter \u03bb, these models are characterized by the embedding parameter q of the <math><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math> factor. We show that an axial-vector T-duality persists along the deformations and, therefore, the models are canonically equivalent. We demonstrate integrability even though the space is non-symmetric and compute the RG-flow equations for the parameters \u03bb and q. Our example provides an integrable deformation of the gravitational solution representing a Euclidean three-dimensional black string."
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Published on:
23 February 2021
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 964 C (2021)

Article ID: 115327
DOI:
https://doi.org/10.1016/j.nuclphysb.2021.115327
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: