On integrable deformations of superstring sigma models related to AdSn×Sn supercosets
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Published version
Author(s)
Hoare, B
Tseytlin, AA
Type
Journal Article
Abstract
We consider two integrable deformations of 2d sigma models on supercosets associated with AdSn×Sn. The first, the “η -deformation” (based on the Yang–Baxter sigma model), is a one-parameter generalization of the standard superstring action on AdSn×Sn, while the second, the “λ -deformation” (based on the deformed gauged WZW model), is a generalization of the non-abelian T-dual of the AdSn×Sn superstring. We show that the η-deformed model may be obtained from the λ -deformed one by a special scaling limit and analytic continuation in coordinates combined with a particular identification of the parameters of the two models. The relation between the couplings and deformation parameters is consistent with the interpretation of the first model as a real quantum deformation and the second as a root of unity quantum deformation. For the AdS2×S2 case we then explore the effect of this limit on the supergravity background associated with the λ -deformed model. We also suggest that the two models may form a dual Poisson–Lie pair and provide direct evidence for this in the case of the integrable deformations of the coset associated with S2.
Date Issued
2015-08-01
Date Acceptance
2015-06-02
Citation
Nuclear Physics B, 2015, 897, pp.448-478
ISSN
0550-3213
Publisher
Elsevier
Start Page
448
End Page
478
Journal / Book Title
Nuclear Physics B
Volume
897
Copyright Statement
© 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/).
(http://creativecommons.org/licenses/by/4.0/).
License URL
Sponsor
Science and Technology Facilities Council (STFC)
Commission of the European Communities
Science and Technology Facilities Council (STFC)
Grant Number
ST/J000353/1
290456
ST/L00044X/1
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
LIE T-DUALITY
NON-ABELIAN DUALITY
FIELD-THEORIES
DRESSING COSETS
WZW
Nuclear & Particles Physics
0105 Mathematical Physics
0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics
0206 Quantum Physics
Publication Status
Published