
Summary: We formulate two-dimensional topological gravity starting from local \(N=2\) superconformal geometry. The theory is free from the very beginning. The usual ``twisting'' of the \(N=2\) algebra emerges from symmetry breaking when we expand about a nonzero value for one of the ghost fields. The mysterious linear term in the supercurrent emerges automatically, as does a full superfield formalism for the whole system including ghosts. We analyze the moduli space of the ``semirigid'' super Riemann surfaces associated with this theory, including their allowed degenerations.
Complex supergeometry, Physics, Supermanifolds and graded manifolds, Physical Sciences and Mathematics, Supervarieties, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
Complex supergeometry, Physics, Supermanifolds and graded manifolds, Physical Sciences and Mathematics, Supervarieties, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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