Nat Levine (ENS), Universal 1-loop divergences for integrable sigma-models.

Wednesday 14 Sept 2022, 11:00 → 12:30 Europe/Stockholm

Albano 3: 6228 - Mega (22 seats) (Albano Building 3)

Abstract:  I will present a simple, new method for the 1-loop renormalization of integrable sigma-models. By treating equations of motion and Bianchi identities on an equal footing, we derive "universal" formulae for the 1-loop on-shell divergences,  generalizing case-by-case computations in the literature. Given a choice of poles for the Lax connection, the divergences take a theory-independent form in terms of the Lax currents (the residues of the poles), assuming a "completeness" condition on the zero-curvature equations. We show that Z_T coset sigma-models of pure-spinor type and their recently constructed eta- and lambda-deformations are 1-loop renormalizable, and 1-loop scale-invariant when the Kiling form vanishes. We discuss potential applications to (i) building supergravity solutions using 2d integrability and (ii) proving in general that integrable models are renormalizable.