Super Spin-Charge Separation for class A, C, and D disorder

TL;DR

This paper establishes super spin-charge separation in disordered Dirac fermions across multiple symmetry groups, identifying specific supercurrent algebra conformal field theories as low-energy fixed points and calculating related density of states exponents.

Contribution

It introduces super spin-charge separation for SU(N), Sp(2N), and SO(N) symmetry groups and links certain disordered potentials to conformal field theories as low-energy fixed points.

Findings

Super spin-charge separation proven for three symmetry groups.

Identification of supercurrent algebra conformal field theories as fixed points.

Density of states exponents computed as functions of N.

Abstract

We prove versions of super spin-charge separation for all three of the symmetry groups SU(N), Sp(2N), and SO(N) of disordered Dirac fermions in 2+1 dimensions, which involve the supercurrent-algebras gl (1|1)_{N}, osp(2|2)_{-2N}, and osp(2|2)_N respectively. For certain restricted classes of disordered potentials, the latter supercurrent algebra based conformal field theories can arise as non-trivial low energy fixed points. For all cases with such a fixed point, we compute the density of states exponents as a function of N.