Integrable asymmetric λ-deformations

Driezen, Sibylle (0000 0001 0658 8800, Department of Physics, Swansea University, Singleton Park, Swansea, SA2 8PP, U.K.) (0000 0001 2189 8962, Theoretische Natuurkunde, Vrije Universiteit Brussel & The International Solvay Institutes, Pleinlaan 2, B-1050, Brussels, Belgium) ; Sevrin, Alexander (0000 0001 2189 8962, Theoretische Natuurkunde, Vrije Universiteit Brussel & The International Solvay Institutes, Pleinlaan 2, B-1050, Brussels, Belgium) ; Thompson, Daniel (0000 0001 0658 8800, Department of Physics, Swansea University, Singleton Park, Swansea, SA2 8PP, U.K.) (0000 0001 2189 8962, Theoretische Natuurkunde, Vrije Universiteit Brussel & The International Solvay Institutes, Pleinlaan 2, B-1050, Brussels, Belgium)

13 April 2019

Abstract: We construct integrable deformations of the λ-type for asymmetrically gauged WZW models. This is achieved by a modification of the Sfetsos gauging procedure to account for a possible automorphism that is allowed in G / G models. We verify classical integrability, derive the one-loop beta function for the deformation parameter and give the construction of integrable D-brane configurations in these models. As an application, we detail the case of the λ-deformation of the cigar geometry corresponding to the axial gauged SL(2, R )/U(1) theory at large k . Here we also exhibit a range of both A-type and B-type integrability preserving D-brane configurations.


Published in: JHEP 1904 (2019) 094
Published by: Springer/SISSA
DOI: 10.1007/JHEP04(2019)094
arXiv: 1902.04142
License: CC-BY-4.0



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