Non-commutative D- and M-brane Bound States

TL;DR

This paper investigates M-theory brane bound states with background fluxes, revealing how fluxes modify supersymmetry conditions and induce non-commutative geometries, with implications for non-commutative gauge theories and deformations of Seiberg-Witten curves.

Contribution

It provides a detailed analysis of flux-induced modifications to supersymmetric brane configurations and explores their relation to non-commutative geometries and gauge theory deformations.

Findings

Fluxes alter supersymmetry preservation conditions.

Non-commutative geometries emerge from flux-induced deformations.

Deformations of Seiberg-Witten curves are studied in flux backgrounds.

Abstract

We analyze certain brane bound states in M-theory and their descendants in type IIA string theory, all involving 3-form or 2-form background fluxes. Among them are configurations which represent NCYM, NCOS and ODp-theories in the scaling limit of OM-theory. In particular, we show how the conditions for the embedding to preserve supersymmetry are modified by the presence of the flux and discuss their relations for the various different bound states. Via the formalism of geometric quantization such a deformation of a supersymmetric cycle is related to a non-commutativity of its coordinates. We also study possible non-commutative deformations of the Seiberg-Witten curve of N=2 supersymmetric gauge theories due to non-trivial H-flux.