Higher derivative type II string effective actions, automorphic forms and E11

TL;DR

This paper investigates how automorphic forms constrain lower-dimensional effective actions in string theory and explores the potential role of E11 symmetry in formulating higher derivative actions.

Contribution

It proposes properties of automorphic forms in string theory and discusses the possible involvement of E11 symmetry in higher derivative effective actions.

Findings

Constraints on automorphic forms from dimensional reduction

Proposed properties of automorphic forms in string theory

Discussion on E11's role in higher derivative actions

Abstract

By dimensionally reducing the ten-dimensional higher derivative type IIA string theory effective action we place constraints on the automorphic forms that appear in the effective action in lower dimensions. We propose a number of properties of such automorphic forms and consider the prospects that E11 can play a role in the formulation of the higher derivative string theory effective action.