Symplectic gauge invariant reformulation of a free particle system on toric geometry

Abstract

We deduce the constraint structure and subsequently quantize a free particle system residing on a torus satisfying the geometric constraint $(r-a)=0$, within the framework of modified Faddeev-Jackiw formalism. Further, we reformulate the system as a gauge theory by the means of symplectic gauge invariant formalism. Finally, we establish the off-shell nilpotent and absolutely anti-commuting (anti-)BRST symmetries of the reformulated gauge invariant theory.

arXiv commentLaTeX file, 15 pages, no figures, accepted for publication in EPL

References in corpus (7)

• String Dualities and Toric Geometry: An Introduction
• Faddeev-Jackiw quantization of four dimensional BF theory
• Faddeev-Jackiw Quantization of Christ-Lee Model
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Cited by in corpus (3)

• Particle on a torus knot: Symplectic analysis
• On the Quantization of FLPR Model
• Faddeev-Jackiw Approach to Classical Constrained Systems