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arXiv 0909.3106hep-th
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二维超对称规范理论的引力场

Gravity duals of 2d supersymmetric gauge theories

Daniel Arean, Eduardo Conde, Alfonso V. Ramallo

摘要:

我们发现新的超引力解产生的D5-膜包裹一个四圈,并保持四个和两个超对称。我们首先考虑的配置,其中的五膜包裹在一个卡-丘三重,它保持了四个超对称性,是一个重力对偶的库仑分支的二维规范理论与N=(2,2)超对称的四个循环。我们还研究了G_2-完整流形上的五膜包裹一个余结合四圈的情形,这提供了二维N=(1,1)超对称Yang-Mills理论的引力对偶。我们还讨论了在这些背景中加入未淬灭的基本物质场,并找到了相应的具有味膜源的引力解。

英文摘要:

We find new supergravity solutions generated by D5-branes wrapping a four-cycle and preserving four and two supersymmetries. We first consider the configuration in which the fivebranes wrap a four-cycle in a Calabi-Yau threefold, which preserves four supersymmetries and is a gravity dual to the Coulomb branch of two-dimensional gauge theories with N=(2,2) supersymmetry. We also study the case of fivebranes wrapping a co-associative four-cycle in a manifold of G_2-holonomy, which provides a gravity dual of N=(1,1) supersymmetric Yang-Mills theory in two dimensions. We also discuss the addition of unquenched fundamental matter fields to these backgrounds and find the corresponding gravity solutions with flavor brane sources.

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