Deformation of N=4 Super Yang-Mills Theory in Graviphoton Background

TL;DR

This paper explores how N=4 super Yang-Mills theory is deformed by a graviphoton background from type IIB superstrings, revealing new vacuum configurations like fuzzy spheres.

Contribution

It derives the effective deformed action from string amplitudes, connecting super Yang-Mills theory with non(anti)commutative superspace and new vacuum solutions.

Findings

Effective action includes Chern-Simons term coupled with R-R potential.

Vacuum analysis reveals fuzzy sphere configurations.

Deformation relates to non(anti)commutative superspace.

Abstract

We study deformation of N=4 super Yang-Mills theory from type IIB superstrings with D3-branes in the constant R-R background. We compute disk amplitudes with one graviphoton vertex operator and investigate the zero-slope limit of the amplitudes. We obtain the effective action deformed by the graviphoton background, which contains the one defined in non(anti)commutative N=1 superspace as special case. The bosonic part of the Lagrangian gives the Chern-Simons term coupled with the R-R potential. We study the vacuum configuration of the deformed Lagrangian and find the fuzzy sphere configuration for scalar fields.