Speaker: Georgios Itsios

Title: Integrable deformations of non-linear σ-models and their supergravity realisations

Abstract:
In this talk, I will discuss my recent contributions to integrable deformations of two-dimensional non-linear σ-models and their relation to supergravity in ten dimensions. In particular, I will describe the construction of two supersymmetric solutions of type-II supergravity based on the λ-deformed σ-models for SL(2,R) and SU(2). In the absence of deformation, these solutions describe near-horizon limits of NS1 and NS5 brane intersections and both are 1/2-supersymmetric. When the deformation is turned on, supersymmetry breaks by half and both backgrounds preserve 8 supercharges. Toward the end of the talk,  I will focus on a variation of the λ-model which was proposed recently. This relies on the deformation of only a subgroup H of the full symmetry group G. The requirement of Lax integrability imposes that the coset G/H must be symmetric.