D-Brane Bound States Redux

D-Brane Bound States Redux
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D-Brane 结合态 Redux

DOI:
10.1007/s002200050374
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发表时间:
1997
影响因子:
2.4
通讯作者:
M. Stern
M. Stern
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Sethi;M. Stern

文献摘要

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摘要:研究了II型弦理论阈值处d膜束缚态的存在性。在许多情况下,我们可以将存在问题简化为正交问题,并研究d膜系统的传播子的特定极限。这涉及到非fredholm算子族的一个指标定理的推导。为了支持紧化11维超引力与IIA型弦理论之间的猜想关系,我们证明了两个重合零膜存在束缚态。这一结果也为m理论作为矩阵模型的推测性描述提供了支持。此外,我们提供了进一步的证据,证明在Calabi-Yau消失循环上两次包裹的二膜和三膜不存在BPS束缚态。
Abstract: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.