Integrable quantum field theories with OSP(m/2n) symmetries

TL;DR

This paper proposes a factorized scattering framework for certain supersphere sigma models and Gross Neveu models with OSP(m/2n) symmetry, highlighting their non-unitary nature but consistent thermodynamic and perturbative results.

Contribution

It introduces a conjectured S matrix description for these supergroup symmetric models, enabling further study despite their non-unitarity.

Findings

Thermodynamic Bethe ansatz yields correct central charges.

S matrices are unitary with respect to a non-positive scalar product.

Results align with perturbative calculations.

Abstract

We conjecture the factorized scattering description for OSP(m/2n)/OSP(m-1/2n) supersphere sigma models and OSP(m/2n) Gross Neveu models. The non-unitarity of these field theories translates into a lack of `physical unitarity' of the S matrices, which are instead unitary with respect to the non-positive scalar product inherited from the orthosymplectic structure. Nevertheless, we find that formal thermodynamic Bethe ansatz calculations appear meaningful, reproduce the correct central charges, and agree with perturbative calculations. This paves the way to a more thorough study of these and other models with supergroup symmetries using the S matrix approach.