We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two-dimensional model we construct is a supersymmetric relative of the Poisson sigma model used in context of deformation quantization.
Lindstrom, U., Minasian, R., Tomasiello, A., Zabzine, M. (2005). Generalized complex manifolds and supersymmetry. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 257(1), 235-256 [10.1007/s00220-004-1265-6].
Generalized complex manifolds and supersymmetry
TOMASIELLO, ALESSANDRO;
2005
Abstract
We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two-dimensional model we construct is a supersymmetric relative of the Poisson sigma model used in context of deformation quantization.
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