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arXiv 1601.03409hep-th
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反膜上的费米子:高阶相互作用和自发破缺超对称性

Fermions on the Anti-Brane: Higher Order Interactions and Spontaneously Broken Supersymmetry

Keshav Dasgupta, Maxim Emelin, Evan McDonough

摘要:

最近有人认为,在通量背景中插入一个探测反D3膜会自发地破坏超对称性,而不是像以前认为的那样明确地破坏。在本文中,我们认为,这种自发破缺的超对称性持续存在,即使探针反D3膜是保持在一个弯曲的背景与内部空间,不一定是一个卡-丘流形。为了证明这一点,我们采取了一个特定的弯曲背景产生的分数三膜和通量的非卡勒解决锥状结构,超对称破缺出现直接从某些世界体积费米子成为大规模。事实上,即使我们改变了反膜的维数,或者允许反膜上有更高阶的费米子相互作用,这也是一个普遍的性质。我们认为前者采取的探针反D 7膜在通量背景和证明自发破缺的超对称性使用世界体积费米子。我们认为后者通过构建一个所有的反D3膜的超对称性破缺的自发性质,可以证明通过把它带到一个卡帕对称形式的阶费米子作用。

英文摘要:

It has been recently argued that inserting a probe anti-D3-brane in a flux background breaks supersymmetry spontaneously instead of explicitly, as previously thought. In this paper we argue that such spontaneous breaking of supersymmetry persists even when the probe anti-D3-brane is kept in a curved background with an internal space that doesn't have to be a Calabi-Yau manifold. To show this we take a specific curved background generated by fractional three-branes and fluxes on a non-Kahler resolved conifold where supersymmetry breaking appears directly from certain world-volume fermions becoming massive. In fact this turns out to be a generic property even if we change the dimensionality of the anti-brane, or allow higher order fermionic interactions on the anti-brane. We argue for the former by taking a probe anti-D7-brane in a flux background and demonstrate the spontaneous breaking of supersymmetry using world-volume fermions. We argue for the latter by constructing an all order fermionic action for the anti-D3-brane from which the spontaneous nature of supersymmetry breaking can be demonstrated by bringing it to a kappa-symmetric form.

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