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 calculating their central charge, with potential extensions discussed.

Contribution

It presents a novel construction of mixed GL(N) magnets using particular transfer matrices and analyzes their conformal properties and central charge.

Findings

Constructed a conformally invariant mixed GL(N) 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 co nstituted of an alternating mixture of GL(N) ``spins'' operators at different order of represent ation. The corresponding central charge is calculated by analysing the low temperature beha viour of the associated free energy. We also comment on possible extensions of our results for more general classes of mixed systems.