Two loop superstring amplitudes and S_6 representations

TL;DR

This paper introduces a group representation theory approach to simplify the derivation of two-loop superstring amplitudes, providing an algebraic and intrinsic perspective on the modular forms involved.

Contribution

It presents a novel algebraic method leveraging group representations to derive superstring amplitudes, extending to any genus g and simplifying previous complex derivations.

Findings

Streamlined derivation of two-loop superstring amplitudes.

Representation theory provides an intrinsic description of modular forms.

Method applicable to arbitrary genus g.

Abstract

In this paper we describe how representation theory of groups can be used to shorten the derivation of two loop partition functions in string theory, giving an intrinsic description of modular forms appearing in the results of D'Hoker and Phong [1]. Our method has the advantage of using only algebraic properties of modular functions and it can be extended to any genus g.