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arXiv 0704.0777hep-th
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超弦与超引力的解耦

Decoupling Supergravity from the Superstring

Michael B. Green, Hirosi Ooguri, John H. Schwarz

摘要:

我们考虑了在d维空间中获得微扰最大超引力的必要条件,作为紧化在(10 - d)-环面上的II型超弦理论的解耦极限。对于维度d = 2和d = 3,可以定义一个极限,其中唯一的有限质量状态是最大超引力的256个无质量状态。然而,在d > 3的维度中,有无限多的附加无质量和有限质量状态。这些对应于卡鲁扎-克莱因电荷、缠绕弦、卡鲁扎-克莱因单极或围绕环形额外维度的膜。我们的结论是,微扰超引力在d > 3维时不能与弦论解耦。特别是,我们推测,纯N = 8超引力在四维是在沼泽地。

英文摘要:

We consider the conditions necessary for obtaining perturbative maximal supergravity in d dimensions as a decoupling limit of type II superstring theory compactified on a (10 -- d)-torus. For dimensions d = 2 and d = 3 it is possible to define a limit in which the only finite-mass states are the 256 massless states of maximal supergravity. However, in dimensions d > 3 there are infinite towers of additional massless and finite-mass states. These correspond to Kaluza--Klein charges, wound strings, Kaluza--Klein monopoles or branes wrapping around cycles of the toroidal extra dimensions. We conclude that perturbative supergravity cannot be decoupled from string theory in dimensions d > 3. In particular, we conjecture that pure N = 8 supergravity in four dimensions is in the Swampland.

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