On Higher Derivative Couplings in Theories with Sixteen Supersymmetries

TL;DR

This paper establishes new non-renormalization theorems for higher derivative couplings in theories with sixteen supersymmetries, providing exact results for D3-brane couplings and operators in compactified superconformal theories.

Contribution

It introduces novel non-renormalization theorems using brane-bulk superamplitudes, leading to exact results in supergravity and string theory contexts.

Findings

Exact results on D3-brane effective couplings in type IIB string theory.

Derivation of higher dimensional operators in six-dimensional superconformal theory.

New non-renormalization theorems for higher derivative couplings with sixteen supersymmetries.

Abstract

We give simple arguments for new non-renormalization theorems on higher derivative couplings of gauge theories to supergravity, with sixteen supersymmetries, by considerations of brane-bulk superamplitudes. This leads to some exact results on the effective coupling of D3-branes in type IIB string theory. We also derive exact results on higher dimensional operators in the torus compactification of the six dimensional (0, 2) superconformal theory.