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arXiv 1604.02579hep-th
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M2-brane 2-torus丛的分类、U-对偶不变性和II型规范超引力

Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities

Maria Pilar Garcia del Moral, Joselen M. Pena, Alvaro Restuccia

备注：
Latex 13 pages, 1 figures. The paper has been re-written for sake of clarity and rewritten in order to answer observations made by the referee. Results are totally unchanged. Version accepted for publication at PRD
发表信息：
Phys. Rev. D 100, 026005 (2019)
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摘要：

本文给出了$SL(2,Z)$中具有单值性的M2-膜辛环面丛的不等价类的完全分类以及它们之间精确的U-对偶关系。有八个不等价的类束的单值群，在低能量，对应于八个II型规范超引力在九个维度的规范群。其中四个先前已经发现，它们对应于“IIB型侧”。在本文中，我们提供了明确实现其余四个类相关联的“IIA型侧”。八个不等价丛类之间精确的M ~ 2-膜U-对偶关系使得我们可以识别出其余四个不等价丛类。我们猜想，类的计量-分类的八种类型的II计量超重力在九个维度-是由不等价的coinvariant类相关的基础和纤维的超膜束和他们的超重力。

英文摘要：

In this paper we obtain the complete classification of the inequivalent classes of M2-brane symplectic torus bundles with monodromy in $SL(2,Z)$ and their precise U-duality relations among them. There are eight inequivalent classes of bundles whose monodromy groups, at low energies, are in correspondence with the gauging groups of the eight type II gauged supergravities in nine dimensions. Four of those have been previously found and they correspond to the 'type IIB side'. In this paper we provide the explicit realization of the remaining four classes associated to the 'type IIA side'. The precise M2-brane U-duality relations between the eight inequivalent classes of bundles have allowed to identified the remaining four ones. We conjecture that the classes of gaugings -- classifying the eight types of II gauged supergravity in nine dimensions -- are determined by the inequivalent coinvariant classes associated to the base and the fiber of the supermembrane bundles and their duals.

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