D-brane probes on L^{abc} Superconformal Field Theories

TL;DR

This paper investigates supersymmetric D-brane embeddings in the AdS_5xL^{abc} background, identifying known and new configurations that correspond to various operators and adding insights into flavor and fractional branes.

Contribution

It presents new supersymmetric D-brane embeddings in the L^{abc} background, including D3, D5, and D7-branes, expanding understanding of dual operators and flavor addition.

Findings

Recovered known three-cycles dual to dibaryonic operators

Discovered new families of supersymmetric D3-brane embeddings

Identified stable non-supersymmetric configurations like fat strings and domain walls

Abstract

We study supersymmetric embeddings of D-brane probes of different dimensionality in the AdS_5xL^{abc} background of type IIB string theory. In the case of D3-branes, we recover the known three-cycles dual to the dibaryonic operators of the gauge theory and we also find a new family of supersymmetric embeddings. Supersymmetric configurations of D5-branes, representing fractional branes, and of spacetime filling D7-branes (which can be used to add flavor) are also found. Stable non supersymmetric configurations corresponding to fat strings and domain walls are found as well.