CLASSICAL AND QUANTUM ASPECTS OF FIVE-DIMENSIONAL CHERN–SIMONS GAUGE THEORY-Reference-Cited by-同舟云学术

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

Published:2014-01-08 Issue:01 Volume:29 Page:1450003
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

HU SEN¹,HU ZHI¹

Affiliation:

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X14500031

Reference14 articles.

1. Characteristic Forms and Geometric Invariants

2. Quantum field theory and the Jones polynomial

3. 2 + 1 dimensional gravity as an exactly soluble system

4. ON SL(2, ℝ) AND AdS GRAVITY

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