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AdS/CFT and BPS Strings in Four Dimensions

Mohsen Alishahiha, Yaron Oz

TL;DR

This work analyzes four-dimensional $N=2$ theories realized on the intersection of two M5-brane stacks, where BPS strings arise from M2-branes stretched between M5 and M5' and can become tensionless on the Higgs branch. Using a semi-localized brane setup, the authors obtain a dual AdS/CFT description with an $AdS_5$ near-horizon geometry, identifying a decoupled ${N=2}$ SCFT on the intersection and its Type IIA elliptic brane realization yielding an $SU(N_1)^{N_2}$ gauge theory with bi-fundamental matter. They compute string self-energies and inter-string potentials from the M2-brane action in the AdS$_5$ background, finding results that are largely independent of the gauge coupling and consistent with Higgs-branch physics, and they relate the DOF scaling to $N_1^2 N_2$ with dual descriptions in IIA/IIB frameworks. The study links M-theory constructions to four-dimensional ${N=2}$ SCFTs, providing holographic insights into BPS objects on the Higgs branch and their field-theoretic interpretations.

Abstract

We consider N=2 superconformal theories defined on a 3+1 dimensional hyperplane intersection of two sets of M5 branes. These theories have (tensionless) BPS string solitons. We use a dual supergravity formulation to deduce some of their properties via the AdS/CFT correspondence.

AdS/CFT and BPS Strings in Four Dimensions

TL;DR

This work analyzes four-dimensional theories realized on the intersection of two M5-brane stacks, where BPS strings arise from M2-branes stretched between M5 and M5' and can become tensionless on the Higgs branch. Using a semi-localized brane setup, the authors obtain a dual AdS/CFT description with an near-horizon geometry, identifying a decoupled SCFT on the intersection and its Type IIA elliptic brane realization yielding an gauge theory with bi-fundamental matter. They compute string self-energies and inter-string potentials from the M2-brane action in the AdS background, finding results that are largely independent of the gauge coupling and consistent with Higgs-branch physics, and they relate the DOF scaling to with dual descriptions in IIA/IIB frameworks. The study links M-theory constructions to four-dimensional SCFTs, providing holographic insights into BPS objects on the Higgs branch and their field-theoretic interpretations.

Abstract

We consider N=2 superconformal theories defined on a 3+1 dimensional hyperplane intersection of two sets of M5 branes. These theories have (tensionless) BPS string solitons. We use a dual supergravity formulation to deduce some of their properties via the AdS/CFT correspondence.

Paper Structure

This paper contains 3 sections, 18 equations, 2 figures.

Table of Contents

  1. Introduction
  2. The Supergravity Description
  3. BPS String Solitons

Figures (2)

  • Figure 1: The Type IIA elliptic brane system corresponding to the semi-localized M5-M5' brane configuration. It consists of $N_2$ NS5-branes with worldvolume coordinates $(0,1,2,3,4,5)$ periodically arranged in the 6-direction and $N_1$ D4-branes with worldvolume coordinates $(0,1,2,3,6)$ stretched between them.
  • Figure 2: There are BPS particles on the Coulomb branch and BPS strings on the Higgs branch. The SCFT is at the intersection of these two branches.