Correlators in the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector

TL;DR

This paper investigates the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector, deriving compact correlator expressions despite the absence of W-representations, and extends analysis to non-Gaussian cases.

Contribution

It provides new compact correlator formulas for these models and discusses non-Gaussian extensions, advancing understanding of supereigenvalue models in this sector.

Findings

Partition functions expressed as sums of homogeneous operators

Derived compact correlator expressions for Gaussian and chiral models

Extended analysis to non-Gaussian (chiral) cases

Abstract

We analyze the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector. We show that their partition functions can be expressed as the infinite sums of the homogeneous operators acting on the elementary functions. In spite of the fact that the usual W-representations of these matrix models can not be provided here, we can still derive the compact expressions of the correlators in these two supereigenvalue models. Furthermore, the non-Gaussian (chiral) cases are also discussed.