Generalized complex manifolds and supersymmetry

Ulf Lindstrom , Ruben Minasian (1) , Alessandro Tomasiello (1) , Maxim Zabzine (2)

1 CPHT - Centre de Physique Théorique [Palaiseau]
2 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Domaines: Géométrie différentielle [math.DG]; Physique des Hautes Energies - Théorie [hep-th]

Ulf Lindstrom, Ruben Minasian, Alessandro Tomasiello, Maxim Zabzine. Generalized complex manifolds and supersymmetry. Communications in Mathematical Physics, 2005, 257, pp.235-256. ⟨hal-00171852⟩