On integrable deformations of superstring sigma models related to AdSn×Sn supercosets
By B. Hoare, A. Tseytlin. 2015
173 citations recorded by the source corpus.
Abstract We consider two integrable deformations of 2d sigma models on supercosets associated with AdS n × S n . The first, the “η-deformation” (based on the Yang–Baxter sigma model), is a one-parameter generalization of the standard superstring action on AdS n × S n , while the second, the “λ-deformation” (based on the deformed gauged WZW model), is a generalization of the non-abelian T-dual of the AdS n × S n 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 AdS 2 × S 2 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 S 2 .
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/6b9fced04b56dae0c76e34b4756d0cbb36854e46
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In Geometry and Topology
In Nuclear and High Energy Physics
Citations in the corpus
- Abelian Yang–Baxter deformations and TsT transformations (2016, background): “1 These models are related to another type of integrable deformation known as the λ model [12, 13, 14] by analytic continuation and Poisson-Lie duality [15, 16, 17, 18, 19, 20], see also [21].”
- Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations (2016, methodology): “Applying T-duality one then gets a type II supergravity solution with a dilaton containing a linear non-isometric term [23, 9].”
- Generalised integrable λ- and η-deformations and their relation (2015, background): “In [6, 18, 19] a PL T-duality transformation followed by an analytic continuation related the single parameter η- and λ-deformations.”
- Scale invariance of the η-deformed AdS5 × S5 superstring, T-duality and modified type II equations (2015, background): “In fact, a special limit [13] of this solution should be essentially equivalent to the HT solution [12].”