Perturbative terms of Kac-Moody-Eisenstein series

TL;DR

This paper investigates the structure of Eisenstein series on Kac-Moody groups related to symmetries in quantum gravity, revealing simplifications in their constant terms that are relevant for string theory.

Contribution

It provides new insights into the perturbative structure of Eisenstein series on Kac-Moody groups, highlighting simplifications relevant for string theory symmetries.

Findings

Simplifications in constant terms of Eisenstein series on Kac-Moody groups

Relevance of these series to string theory symmetries

Potential implications for quantum gravity models

Abstract

Supersymmetric theories of gravity can exhibit surprising hidden symmetries when considered on manifolds that include a torus. When the torus is of large dimension these symmetries can become infinite-dimensional and of Kac-Moody type. When taking quantum effects into account the symmetries become discrete and invariant functions under these symmetries should play an important role in quantum gravity. The new results here concern surprising simplifications in the constant terms of very particular Eisenstein series on the these Kac-Moody groups. These are exactly the cases that are expected to arise in string theory.