The three point function in Liouville and $\mathcal{N}=1$ Super Liouville Theory

TL;DR

This paper explores the three-point functions in Liouville and $ abla 1$ Super Liouville Theory, providing foundational insights into their structure within the context of Conformal Field Theories and Supersymmetry.

Contribution

It offers detailed computations of three-point functions in Liouville and Super Liouville theories, advancing understanding of their conformal and supersymmetric properties.

Findings

Computed explicit three-point functions in Liouville theory

Analyzed supersymmetric extensions in Super Liouville theory

Provided foundational overview of CFT and Supersymmetry tools

Abstract

In this dissertation we present some basic features about Liouville and $\mathcal{N}=1$ Super Liouville Theory, and focus in the computation of their three point functions. Additionally, we include an introduction to Conformal Field Theories (CFT) and Supersymmetry, which are the basic tools of the present research.