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D-branes on a noncompact singular Calabi-Yau manifold

Katsuyuki Sugiyama1 and Satoshi Yamaguchi2

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We investigate D-branes on a noncompact singular Calabi-Yau manifold by using the boundary CFT description, and calculate the open string Witten indices between the boundary states. The B-type D-branes turn out to be characterized by the properties of a compact positively curved manifold. We give geometric interpretations to these boundary states in terms of coherent sheaves of the manifold.


Keywords

Differential and Algebraic Geometry

Topological Field Theories

D-branes

Conformal Field Models in String Theory

PACS

11.25.Uv D branes

11.25.Hf Conformal field theory, algebraic structures

02.40.-k Geometry, differential geometry, and topology

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 02 ( 1 February 2001)

Received 12 November 2000, accepted for publication 8 February 2001

Published 26 February 2001



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