Three-parameter integrable deformation of ℤ 4 permutation supercosets

Delduc, F. (0000 0001 2175 9188, Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342, Lyon, France) ; Hoare, B. (0000 0001 2156 2780, Institut für Theoretische Physik, Eidgenössische Technische Hochschule Zürich, Wolfgang-Pauli-Strasse 27, 8093, Zürich, Switzerland) ; Kameyama, T. (0000 0001 2175 9188, Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342, Lyon, France) ; Lacroix, S. (0000 0001 2287 2617, II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany) (0000 0001 2287 2617, Zentrum für Mathematische Physik, Universität Hamburg, Bundesstrasse 55, 20146, Hamburg, Germany) ; Magro, M. (0000 0001 2175 9188, Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342, Lyon, France)

16 January 2019

Abstract: A three-parameter integrable deformation of ℤ 4 permutation supercosets is constructed. These supercosets are of the form F ^ / F 0 $$ \widehat{F}/{F}_0 $$ where F 0 is the bosonic diagonal subgroup of the product supergroup F ^ = G ^ × G ^ $$ \widehat{F}=\widehat{G}\times \widehat{G} $$ . They include the AdS 3 × S 3 and AdS 3 × S 3 × S 3 supercosets. This deformation encompasses both the bi-Yang-Baxter deformation of the semi-symmetric space σ -model on ℤ 4 permutation supercosets and the mixed flux model. Truncating the action at the bosonic level, we show that one recovers the bi-Yang-Baxter deformation of the principal chiral model plus Wess-Zumino term.


Published in: JHEP 1901 (2019) 109
Published by: Springer/SISSA
DOI: 10.1007/JHEP01(2019)109
arXiv: 1811.00453
License: CC-BY-4.0



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