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Publications [#287388] of Mark A. Stern

Papers Published

  1. Sethi, S; Stern, M, D-brane bound states redux, Communications in Mathematical Physics, vol. 194 no. 3 (1998), pp. 675-705
    (last updated on 2018/02/19)

    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 co-incident 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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Mathematics Department
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