Counterterms in type I Supergravities

TL;DR

This paper calculates one-loop divergences in ten- and eight-dimensional supergravity theories, analyzing their tensor structures and comparing them with string theory results, highlighting the role of Yang-Mills amplitudes.

Contribution

It provides explicit computations of divergences and counterterms in supergravity, connecting these to string theory low-energy expansions and primitive Yang-Mills amplitudes.

Findings

D=10 and D=8 supergravity divergences computed

Counterterms share tensor structures with string theory expansions

Infinities factorize with primitive Yang-Mills amplitudes

Abstract

We compute the one-loop divergences of D=10, N=1 supergravity and of its reduction to D=8. We study the tensor structure of the counterterms appearing in D=8 and D=10 and compare these to expressions previously found in the low energy expansion of string theory. The infinities have the primitive Yang-Mills tree amplitude as a common factor.