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arXiv 0907.3614hep-th
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11维SL(2,R)协变大质量和SUGRA型IIB中的拓扑荷

Topological charges in SL(2,R) covariant massive 11-dimensional and Type IIB SUGRA

Andrew K. Callister, Douglas J. Smith

摘要:

在本文中,我们构建了封闭的表达式,对应于各种1/2-BPS状态的最大10和11维超引力理论的拓扑荷。这些表达式与弯曲时空中SUSY代数的结构有关。我们主要关注双M9膜背景下的IIB SUGRA和11维SUGRA,重点是SL(2,R)多重态结构的电荷和这些理论之间的映射。这包括IIB中7-和9-膜的多重态所对应的电荷。我们发现,检查可能的多重态结构的收费提供了另一种工具,探索光谱的BPS国家出现在这些理论。作为一个先决条件,以建设的费用,我们确定的场方程和多重态结构的11维规范位,扩展以前的结果就这个问题。本文还讨论了场的质量规范变换。我们还演示了如何这些大规模的规范变换是兼容的SL(2,R)协变动力学项的建设在11维卡鲁扎-克莱因的kalloworldvolume行动。

英文摘要:

In this paper we construct closed expressions that correspond to the topological charges of the various 1/2-BPS states of the maximal 10 and 11-dimensional supergravity theories. These expressions are related to the structure of the SUSY algebras in curved spacetimes. We mainly focus on IIB SUGRA and 11-dimensional SUGRA in a double M9-brane background, with an emphasis on the SL(2,R) multiplet structure of the charges and how these map between theories. This includes the charges corresponding to the multiplets of 7- and 9-branes in IIB. We find that examining the possible multiplet structures of the charges provides another tool for exploring the spectrum of BPS states that appear in these theories. As a prerequisite to constructing the charges we determine the field equations and multiplet structure of the 11-dimensional gauge potentials, extending previous results on the subject. The massive gauge transformations of the fields are also discussed. We also demonstrate how these massive gauge transformations are compatible with the construction of an SL(2,R) covariant kinetic term in the 11-dimensional Kaluza-Klein monopole worldvolume action.

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