Phase space structure of Chern-Simons theory with a non-standard puncture

Meusburger C, Schroers B (2006)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2006

Journal

Publisher: Elsevier

Book Volume: 738

Pages Range: 425-456

Journal Issue: 3

DOI: 10.1016/j.nuclphysb.2006.01.014

Abstract

We explicitly determine the symplectic structure on the phase space of Chern-Simons theory with gauge group G ⋉ g* on a three-manifold of topology ℝ × S, where S is a surface of genus g with n + 1 punctures. At each puncture additional variables are introduced and coupled minimally to the Chern-Simons gauge field. The first n punctures are treated in the usual way and the additional variables lie on coadjoint orbits of G ⋉ g *. The (n + 1)st puncture plays a distinguished role and the associated variables lie in the cotangent bundle of G ⋉ g *. This allows us to impose a curvature singularity for the Chern-Simons gauge field at the distinguished puncture with an arbitrary Lie algebra valued coefficient. The treatment of the distinguished puncture is motivated by the desire to construct a simple model for an open universe in the Chern-Simons formulation of (2 + 1)-dimensional gravity. © 2006 Elsevier B.V. All rights reserved.

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APA:

Meusburger, C., & Schroers, B. (2006). Phase space structure of Chern-Simons theory with a non-standard puncture. Nuclear Physics B, 738(3), 425-456. https://dx.doi.org/10.1016/j.nuclphysb.2006.01.014

MLA:

Meusburger, Cathérine, and Bernd Schroers. "Phase space structure of Chern-Simons theory with a non-standard puncture." Nuclear Physics B 738.3 (2006): 425-456.

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