Superconformal quantum field theory in curved spacetime

Understand

By conformally coupling vector and hyper multiplets in Minkowski space, we obtain a class of field theories with extended rigid conformal supersymmetry on any Lorentzian four-manifold admitting twistor spinors.

• We construct the conformal symmetry superalgebras which describe classical symmetries of these theories and derive an appropriate BRST operator in curved spacetime.
• In the process, we elucidate the general framework of cohomological algebra which underpins the construction.
• We then consider the corresponding perturbative quantum field theories.