Khalil Idiab (HU Berlin)

Title: NSSSSSMs and their Yang-Baxter deformations

Abstract:

Symmetric space sigma models (SSSM) and their Yang-Baxter deformations are integrable, which makes them useful in providing exact results in the AdS/CFT correspondence. Much is known about these integrable models at classical level, but difficulties with quantization makes it hard to make general statements about their quantum integrable structure. By considering deformations of the flat space sigma model, with non semi-simple Poincaré symmetry, it turns out one can find deformed models that can be canonically quantized (plane waves), enabling future investigation of their quantum structure. As a first step, this requires extending Yang-Baxter deformations of SSSMs to cases with non semi-simple symmetry groups, this will be the main objective of the talk.