The class of universality of integrable and isotropic GL(N) mixed magnets

TL;DR

This paper introduces a class of integrable, isotropic GL(N) mixed magnets constructed from specific transfer matrices, analyzing their conformal invariance and central charge, with potential extensions to broader mixed systems.

Contribution

It presents a novel construction of conformally invariant mixed magnets using GL(N) vertex operators and analyzes their low-temperature properties and central charge.

Findings

Constructed a conformally invariant GL(N) mixed magnet.

Calculated the central charge from low-temperature free energy.

Discussed extensions to more general mixed systems.

Abstract

We discuss a class of transfer matrix built by a particular combination of isomorphic and non-isomorphic GL(N) invariant vertex operators. We construct a conformally invariant magnet constituted of an alternating mixture of GL(N) ``spins'' operators at different order of representation. The corresponding central charge is calculated by analysing the low temperature behaviour of the associated free energy. We also comment on possible extensions of our results for more general classes of mixed systems.