CT-duality as a local property of the world-sheet

Details CT-duality as a local property of the world-sheet CT-duality as a local property of the world-sheet

2005-05-23

arxiv.org/abs/hep-th/0505198v1

Mod.Phys.Lett. A20 (2005) 897-910

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 15 pages, 2 Figures

Scientific paper

10.1142/S0217732305017160

In the present article, we study the local features of the world-sheet in the case when probe bosonic string moves in antisymmetric background field. We generalize the geometry of surfaces embedded in space-time to the case when the torsion is present. We define the mean extrinsic curvature for spaces with Minkowski signature and introduce the concept of mean torsion. Its orthogonal projection defines the dual mean extrinsic curvature. In this language, the field equation is just the equality of mean extrinsic curvature and extrinsic mean torsion, which we call CT-duality. To the world-sheet described by this relation we will refer as CT-dual surface.

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