General Neveu-Schwarz Correlators in Super Liouville Theory

TL;DR

This paper computes N-point correlation functions of tachyon operators in super Liouville theory with matter fields, extending previous bosonic results and employing a super Coulomb gas approach on spherical worldsheets.

Contribution

It provides a detailed calculation of super Liouville correlators with arbitrary screening charges, generalizing known bosonic results to the supersymmetric case.

Findings

Correlation functions are obtained for arbitrary screening charges.

Results are parallel to the bosonic Liouville case.

Method involves zero mode integration and analytic continuation.

Abstract

In this paper we compute the N-point correlation functions of the tachyon operator from the Neveu Schwarz sector of super Liouville theory coupled to matter fields (with $\hat c\le 1$) in the super Coulomb gas formulation, on world sheets with spherical topology. We first integrate over the zero mode assuming that the $s$ parameter takes an integer value, subsequently we continue the parameter to an arbitrary real number. We included an arbitrary number of screening charges (s.c.) and as a result, after renormalizing the s.c., the external legs and the cosmological constant, the form of the final amplitudes do not modify. Remarkably, the result is completely parallel to the bosonic case. We also completed a discussion on the calculation of bosonic correlators including arbitrary screening charges.