The Complete One-loop Spin Chain of N =1 SQCD

TL;DR

This paper computes the full one-loop planar dilation operator for N=1 Super QCD at a specific conformal fixed point, revealing a superconformal symmetry-determined spin-chain Hamiltonian.

Contribution

It provides the complete one-loop spin-chain Hamiltonian for N=1 SQCD, extending the understanding of superconformal symmetry constraints beyond N=4 and N=2 theories.

Findings

The Hamiltonian is fully fixed by superconformal symmetry.

The analysis applies near the Banks-Zaks fixed point.

Results connect N=1 SQCD with known superconformal theories.

Abstract

We evaluate the complete planar one-loop dilation operator of N=1 Super QCD, at the large N Bank-Zaks fixed point near the upper edge of the superconformal window. The spin-chain Hamiltonian turns out to be entirely fixed by the constraints of superconformal symmetry, as in N=4 Super Yang-Mills and in N=2 SuperConformal QCD.