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Integrable double deformation of the principal chiral model · Around

2014

Integrable double deformation of the principal chiral model

Delduc, Francois, Magro, Marc, Vicedo, Benoit

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We define a two-parameter family of integrable deformations of the principal chiral model on an arbitrary compact group.

The Yang-Baxter sigma-model and the principal chiral model with a Wess-Zumino term both correspond to limits in which one of the two parameters vanishes.

Built on

J. M. Maillet, Kac-Moody algebra and extended Yang-Baxter relations in the O ⁡ ( N ) O(N) non-linear sigma model
1985
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J. M. Maillet, New integrable canonical structures in two-dimensional models
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S. Rajeev, Nonabelian bosonization without Wess-Zumino terms. I. New current algebra
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J. Balog, P. Forgacs, Z. Horvath, and L. Palla, A New family of SU(2) symmetric integrable sigma models
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C. Klimcik, Yang-Baxter sigma models and dS/AdS T duality
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C. Klimcik, On integrability of the Yang-Baxter σ \sigma -model
Original
2009
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2012

Cited alongside, same era.

T. J. Hollowood, J. L. Miramontes, and D. M. Schmidtt, Integrable Deformations of Strings on Symmetric Spaces

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K. Sfetsos and D. C. Thompson, Spacetimes for λ \lambda -deformations

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F. Delduc, M. Magro, and B. Vicedo, In preparation

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2014

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