Superconformal spaces and implications for superstrings

Understand

We clarify some properties of projective superspace by using a manifestly superconformal notation.

• In particular, we analyze the N=2 scalar multiplet in detail, including its action, and the propagator and its super-Schwinger parameters.
• The internal symmetry is taken to be noncompact (after Wick rotation), allowing boundary conditions that preserve it off shell.
• Generalization to N=4 suggests the coset superspace PSU(2,2|4)/OSp(4|4) for the AdS/CFT superstring.