Strong Coupling Expansion for the Conformal Pomeron/Odderon Trajectories

TL;DR

This paper develops a strong coupling expansion for the conformal Pomeron and Odderon trajectories within the AdS/CFT framework, calculating their intercepts and spectral curves beyond the diffusion limit.

Contribution

It provides the first strong coupling expansion of the intercepts for Pomeron and Odderon trajectories to order , extending understanding of their analytic structure in AdS/CFT.

Findings

Computed the strong coupling expansion of the Pomeron intercept to order .

Derived the strong coupling expansion of the Odderon intercept to order .

Analyzed the spectral curves of operators coupled to these Regge trajectories.

Abstract

From the perspective of AdS/CFT the Pomeron is identified with a Reggeized Graviton, while the Odderons correspond to Reggeized anti-symmetric $AdS_5$ Kalb-Ramond tensor-fields. In this paper, we consider the strong coupling expansion of the dimension of the leading twist operators dual to these Regge trajectories, $\Delta(j)$, to determine its analytic continuation in $j$ beyond the diffusion limit. In particular, we compute the strong coupling expansion of the intercept to order $\lambda^{-3}$, where $\lambda$ is the t'Hooft coupling, for both the Pomeron, which is $C=+1$ crossing-even, and the "Odderons", which are the leading $C=-1$ crossing-odd Regge singularities. We discuss the spectral curves of the class of single-trace operators to which these string modes couple.