Hamiltonian perspective on generalized complex structure

Details Hamiltonian perspective on generalized complex structure Hamiltonian perspective on generalized complex structure

2005-02-15

arxiv.org/abs/hep-th/0502137v2

Commun.Math.Phys. 263 (2006) 711-722

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, the version to appear in CMP

Scientific paper

10.1007/s00220-005-1512-5

In this note we clarify the relation between extended world-sheet supersymmetry and generalized complex structure. The analysis is based on the phase space description of a wide class of sigma models. We point out the natural isomorphism between the group of orthogonal automorphisms of the Courant bracket and the group of local canonical transformations of the cotangent bundle of the loop space. Indeed this fact explains the natural relation between the world-sheet and the geometry of T+T^*. We discuss D-branes in this perspective.

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