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CLASSICAL AND QUANTUM ASPECTS OF FIVE-DIMENSIONAL CHERN–SIMONS GAUGE THEORY

School of Mathematics, University of Science and Technology of China, Wu Wen Tsun Key Laboratory of Mathematics, Chinese Academy of Science, Hefei 230026, China

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ZHI HU

School of Mathematics, University of Science and Technology of China, Wu Wen Tsun Key Laboratory of Mathematics, Chinese Academy of Science, Hefei 230026, China

Corresponding author.

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https://doi.org/10.1142/S0217751X14500031Cited by:1 (Source: Crossref)

Abstract

In this paper, we investigate the classical and quantum aspects of five-dimensional Chern–Simons theory. As a constrained Hamiltonian system we compute the Dirac brackets among the canonical variables for the Abelian case. In terms of the Batalin–Vilkovisky formalism, we show that the classical master equation leads to new algebraic constraints on the Lie algebra. Finally, partition function and geometric quantization of the theory have been also discussed.

Keywords:

PACS: 11.10.Kk

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