F eb 1 99 9 Rigidity for periodic magnetic fields

X iv : h ep - t h / 92 02 02 9 v 1 8 F eb 1 99 2 Spin Singlet Quantum Hall Effect and Nonabelian Landau - Ginzburg Theory

In this paper we present a theory of Singlet Quantum Hall Effect (SQHE). We show that the Halperin-Haldane SQHE wave function can be written in the form of a product of a wave function for charged semions in a magnetic field and a wave function for the Chiral Spin Liquid of neutral spin-1 2 semions. We introduce field-theoretic model in which the electron operators are factorized in terms of ch...

ar X iv : m at h - ph / 9 90 20 07 v 1 4 F eb 1 99 9 Periodic instantons and the loop group

We construct a large class of periodic instantons. Conjecturally we produce all periodic instantons. This confirms a conjecture of Garland and Murray that relates periodic instantons to orbits of the loop group acting on an extension of its Lie algebra. AMS classification: 81T13, 53C07, 55P10

ar X iv : 0 90 2 . 05 17 v 1 [ m at h - ph ] 3 F eb 2 00 9 The magnetic formalism ; new results

We review recent results on the magnetic pseudodifferential calculus both in symbolic and in C∗-algebraic form. We also indicate some applications to spectral analysis of pseudodifferential operators with variable magnetic fields.

ar X iv : h ep - t h / 95 02 02 4 v 1 3 F eb 1 99 5 Nodes , Monopoles and Confinement in 2 + 1 - Dimensional Gauge Theories

In the presence of Chern-Simons interactions the wave functionals of physical states in 2 + 1-dimensional gauge theories vanish at a number of nodal points. We show that those nodes are located at some classical configurations which carry a non-trivial magnetic charge. In abelian gauge theories this fact explains why magnetic monopoles are suppressed by Chern-Simons interactions. In non-abelian...

ar X iv : a st ro - p h / 99 02 06 2 v 1 4 F eb 1 99 9 SOURCES OF RELATIVISTIC JETS IN THE GALAXY