Dibaryon Spectroscopy

TL;DR

This paper explores the relationship between dibaryons in superconformal gauge theories and holomorphic curves in Kaehler-Einstein surfaces using AdS/CFT correspondence, confirming theoretical predictions through geometric and gauge theory analysis.

Contribution

It demonstrates the matching of dibaryon operator dimensions with holomorphic curve degrees in specific AdS/CFT backgrounds, extending previous theoretical predictions.

Findings

Matching of gauge theory dibaryon dimensions with geometric curve degrees.

Confirmation of the correspondence for del Pezzo surfaces and generalized conifolds.

Number of holomorphic curves aligns with dibaryon operators for smallest conformal dimensions.

Abstract

The AdS/CFT correspondence relates dibaryons in superconformal gauge theories to holomorphic curves in Kaehler-Einstein surfaces. The degree of the holomorphic curves is proportional to the gauge theory conformal dimension of the dibaryons. Moreover, the number of holomorphic curves should match, in an appropriately defined sense, the number of dibaryons. Using AdS/CFT backgrounds built from the generalized conifolds of Gubser, Shatashvili, and Nekrasov (1999), we show that the gauge theory prediction for the dimension of dibaryonic operators does indeed match the degree of the corresponding holomorphic curves. For AdS/CFT backgrounds built from cones over del Pezzo surfaces, we are able to match the degree of the curves to the conformal dimension of dibaryons for the n'th del Pezzo surface, n=1,2,...,6. Also, for the del Pezzos and the A_k type generalized conifolds, for the dibaryons of smallest conformal dimension, we are able to match the number of holomorphic curves with the number of possible dibaryon operators from gauge theory.