The quantisation of poisson structures arising in chern-simons theory with gauge group G x g*

Meusburger C, Schroers B (2004)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2004

Journal

Publisher: International Press

Book Volume: 7

Pages Range: 1003-1042

Journal Issue: 6

URI: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=11944255902&origin=inward

Abstract

We quantise a Poisson structure on H, where H is a semidirect product group of the form G × g*. This Poisson structure arises in the combinatorial description of the phase space of Chern-Simons theory with gauge group G ⋉ g* on R × S, where S is a surface of genus g with n punctures. The quantisation of this Poisson structure is a key step in the quantisation of Chern-Simons theory with gauge group G × g*. We construct the quantum algebra and its irreducible representations and show that the quantum double D(G) of the group G arises naturally as a symmetry of the quantum algebra. © 2002 International Press.

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APA:

Meusburger, C., & Schroers, B. (2004). The quantisation of poisson structures arising in chern-simons theory with gauge group G x g*. Advances in Theoretical and Mathematical Physics, 7(6), 1003-1042.

MLA:

Meusburger, Cathérine, and Bernd Schroers. "The quantisation of poisson structures arising in chern-simons theory with gauge group G x g*." Advances in Theoretical and Mathematical Physics 7.6 (2004): 1003-1042.

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