Dibaryon spectroscopy

The AdS/CFT correspondence relates dibaryons in superconformal gauge theoriesto holomorphic curves in Kaehler-Einstein surfaces. The degree of theholomorphic curves is proportional to the gauge theory conformal dimension ofthe dibaryons. Moreover, the number of holomorphic curves should match, in anappropriately defined sense, the number of dibaryons. Using AdS/CFT backgroundsbuilt from the generalized conifolds of Gubser, Shatashvili, and Nekrasov(1999), we show that the gauge theory prediction for the dimension ofdibaryonic operators does indeed match the degree of the correspondingholomorphic curves. For AdS/CFT backgrounds built from cones over del Pezzosurfaces, we are able to match the degree of the curves to the conformaldimension of dibaryons for the n'th del Pezzo surface, n=1,2,...,6. Also, forthe del Pezzos and the A_k type generalized conifolds, for the dibaryons ofsmallest conformal dimension, we are able to match the number of holomorphiccurves with the number of possible dibaryon operators from gauge theory.Comment: 30 pages, 6 figures, corrected refs; v3 typos correcte