Supersymmetry Constraints on Type IIB Supergravity

TL;DR

This paper uses supersymmetry to derive constraints on higher derivative terms in type IIB supergravity, confirming conjectures about their modular properties and eigenfunctions, and discusses generalizations to higher orders and compactifications.

Contribution

It proves that certain order alpha' **3 interactions are proportional to Laplace eigenfunctions, advancing understanding of supergravity effective actions.

Findings

Confirmed modular invariance of specific interactions

Proved proportionality to Laplace eigenfunctions

Discussed generalizations to higher orders and compactifications

Abstract

Supersymmetry is used to derive conditions on higher derivative terms in the effective action of type IIB supergravity. Using these conditions, we are able to prove earlier conjectures that certain modular invariant interactions of order alpha' **3 relative to the Einstein-Hilbert term are proportional to eigenfunctions of the Laplace operator on the fundamental domain of SL(2,Z). We also discuss how these arguments generalize to terms of higher order in alpha', as well as to compactifications of supergravity.