Superconformal spaces and implications for superstrings
Machiko Hatsuda, Warren Siegel
TL;DR
This paper explores the properties of projective superspace with superconformal symmetry, analyzing N=2 scalar multiplets and proposing a framework for superstring theory in AdS/CFT contexts.
Contribution
It provides a detailed analysis of N=2 scalar multiplets in superconformal superspace and suggests a supercoset structure for superstrings in AdS/CFT.
Findings
Detailed properties of N=2 scalar multiplet and its action
Super-Schwinger parameters for propagators
Proposal of supercoset space for superstring in AdS/CFT
Abstract
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.
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