# BRST symmetry for a torus knot

@article{Pandey2017BRSTSF, title={BRST symmetry for a torus knot}, author={Vipul Kumar Pandey and Bhabani Prasad Mandal}, journal={Europhysics Letters}, year={2017}, volume={119} }

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…

## 5 Citations

### Particle on a torus knot: symplectic analysis

- Physics
- 2022

: We quantize a particle conﬁned to move on a torus knot satisfying constraint condition ( pθ + qφ ) ≈ 0, within the context of a geometrically motivated approach – the Faddeev-Jackiw formalism. We…

### Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold

- PhysicsAdvances in High Energy Physics
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The BRST quantization of particle motion on the hypersurface
V
N
−
1
embedded in Euclidean space
R
N
is carried out both in Hamiltonian and…

### Research Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold II

- Mathematics
- 2022

We have previously developed the BRST quantization on the hypersurface V N − 1 embedded in N -dimensional Euclidean space R N in both Hamiltonian and Lagrangian formulation. We generalize the…

### BFV quantization and BRST symmetries of the gauge invariant fourth-order Pais-Uhlenbeck oscillator

- PhysicsNuclear Physics B
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### Equivalence of two solutions of physical massive gravity

- Physics, GeologyInternational Journal of Modern Physics A
- 2019

We study some aspects of linearized gravity as gauge theory, with massive deformation. Recently, it has been shown that there are two distinct solutions, which represent physical massive gravity. The…

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