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arXiv 1207.3152hep-thhep-ph
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p-膜上的q-形式域

q-Form fields on p-branes

Chun-E Fu, Yu-Xiao Liu, Ke Yang, Shao-Wen Wei

备注：
14 pages, 2 figures, published version
发表信息：
JHEP 10 (2012) 060
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摘要：

本文给出了一种在具有额外一维的p-膜上局部化任意形式（q-形式）场的一般方法，并将其应用于一些典型的p-膜模型。我们发现，对于具有无限额外维数的薄和厚Minkowski膜，q <（p-1）/2的q型场的零模都可以局域在膜上.对于具有一个有限额外维的厚Minkowski p-膜，可局部化的q-型场是那些q <p/2的场，并且这些q-型场在膜上也存在一些有质量的束缚Kaluza-Klein模。对于相同的q-形式域，束缚卡鲁扎-克莱因模的数目（但标量场（q = 0）除外）随p-膜的维数增加而增加。此外，在同一个p-膜上，q值越大的q-型场，质量束缚KK模的数目越少。而对于一族具有紧致额外维数的纯几何厚p-膜，q <p/2的q-形式场总是有一个局部零模。对于一个特殊的纯几何厚p-膜，q <p/2的q-型场也存在一些有质量的束缚KK模，其数目随p-膜维数的增加而增加。

英文摘要：

In this paper, we give one general method for localizing any form (q-form) field on p-branes with one extra dimension, and apply it to some typical p-brane models. It is found that, for the thin and thick Minkowski branes with an infinite extra dimension, the zero mode of the q-form fields with q<(p-1)/2 can be localized on the branes. For the thick Minkowski p-branes with one finite extra dimension, the localizable q-form fields are those with q<p/2, and there are also some massive bound Kaluza-Klein modes for these q-form fields on the branes. For the same q-form field, the number of the bound Kaluza-Klein modes (but except the scalar field (q=0)) increases with the dimension of the p-branes. Moreover, on the same p-brane, the q-form fields with higher q have less number of massive bound KK modes. While for a family of pure geometrical thick p-branes with a compact extra dimension, the q-form fields with q<p/2 always have a localized zero mode. For a special pure geometrical thick p-brane, there also exist some massive bound KK modes of the q-form fields with q<p/2, whose number increases with the dimension of the p-brane.

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