Multi-spin strings on AdS(5)xT(1,1) and operators of N=1 superconformal theory

TL;DR

This paper investigates rotating multi-spin strings in AdS5×T^{1,1} and their dual operators in an N=1 superconformal field theory, revealing integrable structures and operator dimensions.

Contribution

It provides new string solutions in AdS5×T^{1,1} and links these to dual operators, demonstrating the integrability of the SU(2) subsector via the Heisenberg spin chain.

Findings

Identification of string solutions dual to SU(2) operators

Evidence for integrability of the SU(2) subsector

Analysis of anomalous dimensions and global charge behavior

Abstract

We study rotating strings with multiple spins in the background of $AdS_5\times T^{1,1}$, which is dual to a $\mathcal{N}=1$ superconformal field theory with global symmetry $SU(2)\times SU(2)\times U(1)$ via the AdS/CFT correspondence. We analyse the limiting behaviour of macroscopic strings and discuss the identification of the dual operators and how their anomalous dimensions should behave as the global charges vary. A class of string solutions we find are dual to operators in SU(2) subsector, and our result implies that the one-loop planar dilatation operator restricted to the SU(2) subsector should be equivalent to the hamiltonian of the integrable Heisenberg spin chain.