Target space supergeometry of η and λ-deformed strings
By R. Borsato, L. Wulff. 2016
170 citations recorded by the source corpus.
A bstractWe study the integrable η and λ-deformations of supercoset string sigma models, the basic example being the deformation of the AdS5 × S5 superstring. We prove that the kappa symmetry variations for these models are of the standard Green-Schwarz form, and we determine the target space supergeometry by computing the superspace torsion. We check that the λ-deformation gives rise to a standard (generically type II*) supergravity background; for the η-model the requirement that the target space is a supergravity solution translates into a simple condition on the R-matrix which enters the definition of the deformation. We further construct all such non-abelian R-matrices of rank four which solve the homogeneous classical Yang-Baxter equation for the algebra so$$ \mathfrak{so} $$(2, 4). We argue that most of the corresponding backgrounds are equivalent to sequences of non-commuting TsT-transformations, and verify this explicitly for some of the examples.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4a808006eb3f30706fb344437d129c03e5035847
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Citations in the corpus
- Abelian Yang–Baxter deformations and TsT transformations (2016, background): “to supergravity solutions by construction, as T duality and thus TsT transformations map two supergravity solutions to each other [53], also in the fermionic case [47].17 This matches the analysis of [27], as any abelian r matrix is unimodular. 5 On Inequivalent TsT Transformations In this section w”