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

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

2008-07-17

arxiv.org/abs/0807.2713v2

J. Phys. A: Math. Theor. 41 (2008) 452002

Physics

Mathematical Physics

10 pages; section 3 added

Scientific paper

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.

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