Baryon Spectra and AdS/CFT 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 $Ad{S}_5\times T^{1,1}$ 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.

24 pages, typos corrected

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• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Giant Gravitons in Conformal Field Theory
• A Gravity Dual of the Chiral Anomaly
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