Chiral Primaries in Strange Metals

Understand

It was suggested recently that the study of 1-dimensional QCD with fermions in the adjoint representation could lead to an interesting toy model for strange metals and their holographic formulation.

• In the high density regime, the infrared physics of this theory is described by a constrained free fermion theory with an emergent {\cal N}=(2,2) superconformal symmetry.
• In order to narrow the choice of potential holographic duals, we initiate a systematic search for chiral primaries in this model.
• We argue that the bosonic part of the superconformal algebra can be extended to a coset chiral algebra of the form {\cal W}_N =\SO(2N^2-2)_1/\SU(N)_{2N}.