Correlation functions in super Liouville theory

TL;DR

This paper computes correlation functions in super Liouville theory on spherical worldsheets, revealing that the results mirror those of the bosonic case after a formal continuation of parameters.

Contribution

It provides explicit calculations of three- and four-point functions in super Liouville theory, extending known bosonic results to the supersymmetric case.

Findings

Correlation functions are parallel to bosonic Liouville theory.

Amplitudes are of the same form as in the bosonic case.

Parameter continuation yields consistent results.

Abstract

We calculate three- and four-point functions in super Liouville theory coupled to super Coulomb gas on world sheets with spherical topology. We first integrate over the zero mode and assume that a parameter takes an integer value. After calculating the amplitudes, we formally continue the parameter to an arbitrary real number. Remarkably the result is completely parallel to the bosonic case, the amplitudes being of the same form as those of the bosonic case.