Classical Hamiltonian Reduction On $D(2|1;α)$ Chern-Simons Gauge Theory and Large N=4 Superconformal Symmetry

Yukitaka Ishimoto

doi:10.1016/S0370-2693(99)00624-3

paper

Classical Hamiltonian Reduction On $D (2∣1; α)$ Chern-Simons Gauge Theory and Large N=4 Superconformal Symmetry

arXiv:hep-th/9808094 · doi:10.1016/S0370-2693(99)00624-3

Abstract

3d Chern-Simons gauge theory has a strong connection with 2d CFT and link invariants in knot theory. We impose some constraints on the $D (2∣1; α)$ CS theory in the similar context of the hamiltonian reduction of 2d superconformal algebras. There Hilbert states in $D (2∣1; α)$ CS theory are partly identified with characters of the large N=4 SCFT by their transformation properties.

LaTeX 13 pages, 1 figure; one reference added, some improvements mainly in section 4

Classical Hamiltonian Reduction On D(2∣1;α) Chern-Simons Gauge Theory and Large N=4 Superconformal Symmetry

Abstract

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Classical Hamiltonian Reduction On $D (2∣1; α)$ Chern-Simons Gauge Theory and Large N=4 Superconformal Symmetry