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 free particle system on the torus. © World Scientific Publishing Company.