Communications in Mathematical Physics

, Volume 194, Issue 3, pp 675–705 | Cite as

D-Brane Bound States Redux

  • Savdeep Sethi
  • Mark Stern


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.


String Theory Matrix Model Index Theorem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Savdeep Sethi
    • 1
  • Mark Stern
    • 2
  1. 1.School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA.¶E-mail: sethi@sns.ias.eduUS
  2. 2.Department of Mathematics, Duke University, Durham, NC 27706, USA. E-mail: stern@math.duke.eduUS

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