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

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.

10 pages; section 3 added

References in corpus (10)

• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Riemannian symmetric superspaces and their origin in random matrix theory
• Two-dimensional conformal field theory for disordered systems at criticality
• Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
• Non-unitary Conformal Field Theory and Logarithmic Operators for Disordered Systems
• A Classification of random Dirac fermions
• Quasi-Spin-Charge Separation and the Spin Quantum Hall Effect
• Legendre's Relation and the Quantum Equivalence osp(4|4)_(1) = osp(2|2)_(-2) + su(2)_(0)
• Renormalization group for network models of Quantum Hall transitions
• Large N spin quantum Hall effect

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