Correlators in the supereigenvalue model in the Ramond sector

TL;DR

This paper explores the supereigenvalue model in the Ramond sector, deriving its partition function, Virasoro constraints, and correlators, revealing algebraic structures like the Witt algebra and null 3-algebra.

Contribution

It provides a novel derivation of the partition function and correlators for the Ramond sector supereigenvalue model using algebraic operator methods.

Findings

Partition function expressed via operator exponents

Virasoro constraints obey Witt algebra and null 3-algebra

Compact correlator expressions derived from constraints

Abstract

We investigate the supereigenvalue model in the Ramond sector. We prove that its partition function can be obtained by acting on elementary functions with exponents of the given operators. The Virasoro constraints for this supereigenvalue model are presented. The remarkable property of these bosonic constraint operators is that they obey the Witt algebra and null 3-algebra. The compact expression of correlators can be derived from these Virasoro constraints.