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Pis'ma v Zh. Èksper. Teoret. Fiz., 2019, Volume 110, Issue 11, Pages 723–726 (Mi jetpl6055)  

FIELDS, PARTICLES, AND NUCLEI

Integrable $\mathfrak{gl}(n|n)$ Toda field theory and its sigma-model dual

A. V. Litvinovab

a National Research University Higher School of Economics, Moscow, 119048 Russia
b Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432 Russia

Abstract: We study the duality phenomenon between sigma-models and Toda QFT's. We claim that $\mathfrak{gl}(n|n)$ affine Toda field theory behaves in the strong coupling regime as $\eta$-deformed $\mathbb{CP}(n-1)$ sigma-model plus a free field.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 14.641.31.0001
This work was supported by the Ministry of Education and Science of the Russian Federation (project no. 14.641.31.0001 for the Laboratory of Mirror Symmetry, National Research University Higher School of Economics). I acknowledge the support of the Simons Foundation, which allowed me to combine scientific research with teaching.


DOI: https://doi.org/10.1134/S0370274X19230012

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English version:
Journal of Experimental and Theoretical Physics Letters, 2019, 110:11, 707–710

Bibliographic databases:

Received: 29.10.2019
Revised: 29.10.2019
Accepted:31.10.2019

Citation: A. V. Litvinov, “Integrable $\mathfrak{gl}(n|n)$ Toda field theory and its sigma-model dual”, Pis'ma v Zh. Èksper. Teoret. Fiz., 110:11 (2019), 723–726; JETP Letters, 110:11 (2019), 707–710

Citation in format AMSBIB
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\pages 723--726
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