N=1/2 quiver gauge theories from open strings with R-R fluxes

TL;DR

This paper constructs N=1/2 supersymmetric gauge theories from open strings with R-R fluxes, revealing a non-anticommutative deformation and new structures in the effective Lagrangian.

Contribution

It introduces a method to derive N=1/2 gauge theories via R-R fluxes and open string amplitudes, highlighting a novel non-anticommutative deformation.

Findings

Realization of N=1/2 supersymmetry through R-R fluxes

Identification of a non-anticommutative deformation in the theory

Discovery of new structures in the effective Lagrangian

Abstract

We consider a four dimensional N=1 gauge theory with bifundamental matter and a superpotential, defined on stacks of fractional branes. By turning on a flux for the R-R graviphoton field strength and computing open string amplitudes with insertions of R-R closed string vertices, we introduce a non-anticommutative deformation and obtain the N=1/2 version of the theory. We also comment on the appearance of a new structure in the effective Lagrangian.