Brane bound states, deformations and OM

TL;DR

The authors investigate how poly-vector deformations of brane backgrounds in Type II and 11D supergravity generate bound states with dissolved charges, extending the familiar open–closed map to higher-vector cases. They show that bi-vector deformations add F1 charge to Dp-branes (and their S-duals), quadri-vector deformations add D3 charge, and tri-/six-vector deformations in 11D add M2- and M5-brane charges, respectively, thereby linking NRST and OM theories to bound-state realizations. The sedimentation phenomenon, where core charge increases under deformation, is demonstrated across Dp-F1 and M2/M5 systems, with explicit rescalings of harmonic functions and coordinates. The work also connects these deformations to generalized open-brane maps, reinforcing the parallel between open string/brane non-commutativity and their closed-string counterparts, and outlines avenues for thermal-state extensions and non-abelian generalizations.

Abstract

We investigate behavior of brane backgrounds under poly-vector deformations in Type IIB and D=11 supergravities. We find that the standard bi-vector deformations add dissolved F1 string charge to a Dp-brane background, quadri-vector deformations add D3-brane charge, tri- and six-vector deformations in D=11 add M2- and M5-brane charges respectively. We discuss these results in the context of NRCS and OM theories.

Figures (1)

• Figure 1: Relations between near-horizon limits, dual gauge theories and their deformations. <<D3>> here denotes DBI action or the corresponding supergravity background, and $X$ denotes the deformed $\mathrm{AdS}_5$.