Baryon Spectra and AdS/CFT Correspondence

TL;DR

This paper explores the correspondence between wrapped D3-branes in AdS backgrounds and dibaryon operators in the dual CFT, establishing precise relations for their charges, masses, and operator dimensions, and examining BPS excitations.

Contribution

It provides a detailed mapping between wrapped D3-branes and dibaryon operators, including charge, mass, and operator dimension relations, advancing the understanding of AdS/CFT correspondence.

Findings

Matching of U(1)_R charge between branes and field theory

Exact relation between D3-brane mass and dibaryon dimension

Analysis of BPS excitations and operator correspondence

Abstract

We provide a detailed map between wrapped D3-branes in Anti-de Sitter (AdS) backgrounds and dibaryon operators in the corresponding conformal field theory (CFT). The effective five dimensional action governing the dynamics of AdS space contains a $U(1)_R$ gauge field that mediates interactions between objects possessing R-charge. We show that the $U(1)_R$ charge of these wrapped D3-branes as measured by the gauge field matches the R-charge of the dibaryons expected from field theory considerations. We are able, through a careful probe brane calculation in an $AdS_5\times T^{1,1}$ background, to understand the exact relation between the mass of the wrapped D3-brane and the dimension of the corresponding dibaryon. We also make some steps toward matching the counting of dibaryon operators in the CFT with the ground states of a supersymmetric quantum mechanical system whose target space is the moduli space of D-branes. Finally, we discuss BPS excitations of the D3-brane and compare them with higher dimension operators in the CFT.