ITMP Seminar "Supersymmetric CP^1 deformation and Conformal limits"

Title: Supersymmetric CP^1 deformation and Conformal limits

Abstract: In the present work we prove that the supersymmetric deformation of the CP^1 sigma model, i.e. the supersymmetric generalization of the Fateev-Onofri-Zamolodchikov model, can be given in the form of generalised Gross-Neveu model. It appears natural to exploit this field-theoretic formalism to compute one- and two-loop beta-function. It is then establish that in the UV the theory flows to the super-Thirring model. We explicitly show that the last is equivalent to a sigma model with "cylinder" target space by computing correlators of primaries on both sides. Moreover, we also discover other conformal limits, which emerge from our superdeformed construction. A discussion on further extensions to Non-Kahler targets and relation with GSLM (mirror) theories will be provided.