BRST symmetries in free particle system on toric geometry

Abstract

We study a free particle system residing on a torus to investigate its Becci-Rouet-Stora-Tyutin symmetries associated with its Stückelberg coordinates, ghosts and anti-ghosts. By exploiting zeibein frame on the toric geometry, we evaluate energy spectrum of the system to describe the particle dynamics. We also investigate symplectic structures involved in the second-class system on the torus.

9 pages, revised with new references and new section added

References in corpus (4)

• The Hagedorn transition in non-commutative open string theory
• Static properties of chiral models with SU(3) group structure
• Nahm Transform and Moduli Spaces of CPn Models on the Torus
• The Gauged O(3) Sigma Model: Schrödinger Representation and Hamilton-Jacobi Formulation

Cited by in corpus (3)

• Off-shell nilpotent (anti-)BRST symmetries for a free particle system on a toric geometry: superfield formalism
• Symplectic gauge invariant reformulation of a free particle system on toric geometry
• Hamiltonian and Lagrangian BRST quantization in Riemann Manifold