Charged particle-like branes in ABJM

TL;DR

This paper investigates how adding lower-dimensional brane charges affects monopole, di-baryon, and baryon vertex configurations in AdS4 x CP3, revealing charge-dependent flux effects, stability intervals, and the influence of background fields.

Contribution

It introduces a detailed analysis of charged brane configurations in ABJM, highlighting the necessity of additional strings and stability conditions influenced by background fluxes and fields.

Findings

Configurations depend on induced charges and require extra fundamental strings.

Stable configurations exist only within specific charge intervals.

Background fields like the flat B-field and Romans mass modify the brane setups.

Abstract

We study the effect of adding lower dimensional brane charges to the 't Hooft monopole, di-baryon and baryon vertex configurations in $AdS_4 \times \mathbb{P}^3$. We show that these configurations capture the background fluxes in a way that depends on the induced charges, and therefore, require additional fundamental strings in order to cancel the worldvolume tadpoles. The study of the dynamics reveals that the charges must lie inside some interval in order to find well defined configurations, a situation familiar from the baryon vertex in $AdS_5 \times S^5$ with charges. For the baryon vertex and the di-baryon the number of fundamental strings must also lie inside an allowed interval. Our configurations are sensitive to the flat $B$-field recently suggested in the literature. We make some comments on its possible role. We also discuss how these configurations are modified in the presence of a non-zero Romans mass.