XXVI DAE-BRNS High Energy Physics Symposium 2024

Forms of BRST symmetry on a Prototypical First-Class System

Not scheduled

20m

Swatantrata Bhavan, Banaras Hindu University, Varanasi

Postar Formal theory

Speaker

Sumit Kumar Rai (Sardar Vallabhbhai Patel College, Bhabua (Veer Kunwar Singh University, Ara))

Description

We obtain the various forms of BRST symmetry by using the Batalin-Fradkin-Vilkovisky formalism in a prototypical first class system. We have shown that the various forms of symmetry can be obtained through canonical transformation in the ghost sector. The BRST symmetries have also been discussed in configuration space. The so called "dual-BRST" symmetry which is claimed to be an independent symmetry due to its roots in differential geometry is obtained from usual BRST symmetry by making a canonical transformation in the ghost sector. On the other hand, a canonical transformation in the sector involving Lagrange multiplier and its corresponding momentum leads to a new form of BRST. Some other forms of BRST have also been discussed.