BRST Detour Quantization

Understand

We present the BRST cohomologies of a class of constraint (super) Lie algebras as detour complexes.

• By giving physical interpretations to the components of detour complexes as gauge invariances, Bianchi identities and equations of motion we obtain a large class of new gauge theories.
• The pivotal new machinery is a treatment of the ghost Hilbert space designed to manifest the detour structure.
• Along with general results, we give details for three of these theories which correspond to gauge invariant spinning particle models of totally symmetric, antisymmetric and K\"ahler antisymmetric forms.