On integrable deformations of superstring sigma models related to $AdS_n \times S^n$ supercosets - INSPIRE

On integrable deformations of superstring sigma models related to $AdS_n \times S^n$ supercosets

B. Hoare
(
- Humboldt U., Berlin
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)

Apr 27, 2015

31 pages

Published in:

Nucl.Phys.B 897 (2015) 448-478

Published: Jun 3, 2015

e-Print:

1504.07213 [hep-th]

DOI:

10.1016/j.nuclphysb.2015.06.001

Report number:

IMPERIAL-TP-AT-2015-02,
HU-EP-15-21

View in:

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Abstract: (Elsevier)

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 .

Note:

v2: comments and references added; v3: new appendix on an alternative proposal for the dilaton and minor changes, 28 pages; v4: misprint in (B.7) corrected

superstring: action
supergravity: background
T-duality: nonabelian
deformation
integrability
sigma model
Wess-Zumino-Witten model
anti-de Sitter
coset space
Yang-Baxter

References(47)

Figures(0)

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