Hamiltonian and Lagrangian BRST quantization in Riemann manifold. II (Q2084482)

Summary: 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 formalism in the case of \(L\)-dimensional manifold \(V_L\) embedded in \(R_N\) with \(1\leq L<N\). The result is essentially the same as the previous one. We have also verified the results obtained here using a simple example of particle motion on a torus knot. For Part I, see [\textit{V. K. Pandey}, Adv. High Energy Phys. 2022, Article ID 2158485, 12 p. (2022; Zbl 1485.81045)].