Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model

Konstadinos Sfetsos (Department of Nuclear and Particle Physics, Faculty of Physics, University of Athens, Athens, 15784, Greece) ; Konstadinos Siampos (Mécanique et Gravitation, Université de Mons, Mons, 7000, Belgium)

We study what we call the all-loop anisotropic bosonized Thirring σ -model. This interpolates between the WZW model and the non-Abelian T-dual of the principal chiral model for a simple group. It has an invariance involving the inversion of the matrix parameterizing the coupling constants. We compute the general renormalization group flow equations which assume a remarkably simple form and derive its properties. For symmetric couplings, they consistently truncate to previous results in the literature. One of the examples we provide gives rise to a first order system of differential equations interpolating between the Lagrange and the Darboux–Halphen integrable systems.

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      "value": "We study what we call the all-loop anisotropic bosonized Thirring \u03c3 -model. This interpolates between the WZW model and the non-Abelian T-dual of the principal chiral model for a simple group. It has an invariance involving the inversion of the matrix parameterizing the coupling constants. We compute the general renormalization group flow equations which assume a remarkably simple form and derive its properties. For symmetric couplings, they consistently truncate to previous results in the literature. One of the examples we provide gives rise to a first order system of differential equations interpolating between the Lagrange and the Darboux\u2013Halphen integrable systems."
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Published on:
17 June 2014
Publisher:
Elsevier
Published in:
Nuclear Physics B (2014)

Pages 583-599
DOI:
https://doi.org/10.1016/j.nuclphysb.2014.06.012
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: