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arXiv · hep-th/0202150

Baryon Spectra and AdS/CFT Correspondence

David Berenstein·Christopher P. Herzog·Igor R. Klebanov
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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.

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David Berenstein, Christopher P. Herzog, Igor R. Klebanov. 2002-03-05. Baryon Spectra and AdS/CFT Correspondence. https://doi.org/10.1088/1126-6708%2F2002%2F06%2F047

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