Super Spin-Charge Separation for class A, C, and D disorder
Mathematical Physics
2015-05-13 v2 Disordered Systems and Neural Networks
High Energy Physics - Phenomenology
High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.0807.2713,
title = {Super Spin-Charge Separation for class A, C, and D disorder},
author = {André LeClair and Dean J. Robinson},
journal= {arXiv preprint arXiv:0807.2713},
year = {2015}
}
Comments
10 pages; section 3 added