The Complete One-Loop Dilation Operator of N=2 SuperConformal QCD

TL;DR

This paper computes the full one-loop dilation operator for N=2 SuperConformal QCD, revealing it is uniquely determined by superconformal symmetry, similar to N=4 SYM, and extends the analysis to related quiver theories.

Contribution

It provides the complete one-loop planar dilation operator for N=2 SCQCD and a generalized calculation for superconformal quiver theories, highlighting symmetry constraints.

Findings

The spin-chain Hamiltonian is fully fixed by superconformal symmetry.

The calculation applies to N=2 SCQCD and related quiver theories.

Symmetry determines the Hamiltonian up to a single coupling ratio.

Abstract

We evaluate the full planar one-loop dilation operator of N=2 SuperConformal QCD, the SU(N_c) super Yang-Mills theory with N_f = 2 N_c fundamental hypermultiplets, in the flavor-singlet sector. Remarkably, the spin-chain Hamiltonian turns out to be completely fixed by superconformal symmetry, as in N=4 SYM. We present a more general calculation, for the superconformal quiver theory with SU(N_c)X SU(N_c) gauge group, which interpolates between N=2 SCQCD and the Z_2 orbifold of N=4 SYM; here symmetry fixes the Hamiltonian up to a single parameter, corresponding to the ratio of the two marginal gauge couplings.