We study dynamics of scalar fields on a large class of geometries described by integrable sigma models. Although equations of motion are not separable due to absence of isometries and Killing tensors, we completely determine the spectra using algebraic and group-theoretic methods.
We construct a new class of superstrata, the regular supergravity solutions describing the microstates of D1-D5-P black holes. Our solutions are obtained by adding momentum charge to the D1-D5 geometries based on multiple concentric Kaluza-Klein monopoles.
We explore the analytical structure of the generalized λ−deformation of AdS p ×S p spaces and construct new integrable backgrounds which depend on (p + 1) continuous parameters.olunin@albany.edu, jtian2@albany.edu 5 The constant matrix R satisfying the Yang-Baxter equation is called the Yang-Baxter operator or the R-matrix. In this paper we use both names. 6 Recently an intriguing relation between the η-deformation and noncommutativity has been uncovered in [21].7 This constraint is multiplied by η, but since we are interested in the deformed theory, η = 0.
4A R-matrix for the SO(N + 1)/SO(N ) coset
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