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Generalised integrable λ - and η -deformations and their relation
Nuclear Physics B, Volume: 899, Pages: 489 - 512
Swansea University Author: Daniel Thompson
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DOI (Published version): 10.1016/j.nuclphysb.2015.08.015
Abstract
We construct two-parameter families of integrable λ-deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the SU(2) WZW model and the SU(2)...
Published in: | Nuclear Physics B |
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ISSN: | 05503213 |
Published: |
2015
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Online Access: |
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URI: | https://cronfa.swan.ac.uk/Record/cronfa33816 |
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Abstract: |
We construct two-parameter families of integrable λ-deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the SU(2) WZW model and the SU(2)/U(1) exact coset CFT, we show that these deformations are related to bi-Yang-Baxter generalisations of η-deformations via Poisson-Lie T-duality and analytic continuation. We illustrate the quantum behaviour of our models under RG flow. As a byproduct we demonstrate that the bi-Yang-Baxter σ-model for a general group is one-loop renormalisable. |
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College: |
Faculty of Science and Engineering |
Start Page: |
489 |
End Page: |
512 |