D-Brane Bound States Redux

Details D-Brane Bound States Redux D-Brane Bound States Redux

1997-05-08

arxiv.org/abs/hep-th/9705046v3

Commun.Math.Phys. 194 (1998) 675-705

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, harvmac; references altered and a typo is corrected

Scientific paper

10.1007/s002200050374

We study the existence of D-brane bound states at threshold in Type II string theories. In a number of situations, we can reduce the question of existence to quadrature, and the study of a particular limit of the propagator for the system of D-branes. This involves a derivation of an index theorem for a family of non-Fredholm operators. In support of the conjectured relation between compactified eleven-dimensional supergravity and Type IIA string theory, we show that a bound state exists for two coincident zero-branes. This result also provides support for the conjectured description of M-theory as a matrix model. In addition, we provide further evidence that there are no BPS bound states for two and three-branes twice wrapped on Calabi-Yau vanishing cycles.

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