Volume 119, Number 3, August 2017
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||24 October 2017|
BRST symmetry for a torus knot
Department of Physics, Banaras Hindu University - Varanasi-221005, India
Received: 26 June 2017
Accepted: 21 September 2017
We develop BRST symmetry for the first time for a particle on the surface of a torus knot by analyzing the constraints of the system. The theory contains 2nd-class constraints and has been extended by introducing the Wess-Zumino term to convert it into a theory with first-class constraints. BFV analysis of the extended theory is performed to construct BRST/anti-BRST symmetries for the particle on a torus knot. The nilpotent BRST/anti-BRST charges which generate such symmetries are constructed explicitly. The states annihilated by these nilpotent charges consist of the physical Hilbert space. We indicate how various effective theories on the surface of the torus knot are related through the generalized version of the BRST transformation with finite-field–dependent parameters.
PACS: 11.10.Ef – Lagrangian and Hamiltonian approach / 11.30.-j – Symmetry and conservation laws
© EPLA, 2017
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