A " Master " gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons-Proca models are considered here. The Master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamiltonian (Batalin-Tyutin) frameworks, the...

We quantize the Chern-Simons-Proca theory in three dimensions by using the Batalin-Tyutin Hamiltonian method, which systematically embeds second class constraint system into first class by introducing new fields in the extended phase space. As results, we obtain simultaneously the Stückelberg scalar term, which is needed to cancel the gauge anomaly due to the mass term, and the new type of Wess...

We show that a family of topological twists supersymmetric mechanics with K\"ahler target exhibits Batalin--Vilkovisky quantization. Using this observation we make general proposal for the Hilbert space states after twist in terms cohomology certain perverse sheaf. give several examples resulting spaces including categorified Donaldson--Thomas invariants, Haydys--Witten theory and 3-dimensional...