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arXiv 1510.03438hep-th
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开/闭弦对偶性和相对论性流体

Open/closed string duality and relativistic fluids

Vasilis Niarchos

摘要:

我们提出了一个开放/封闭的字符串对偶在一般的背景下扩展以前的想法开弦完整的Ashoke森。我们的建议建立了一个一般版本的全息图,在重力作为层析成像原理。我们认为,特别是,以前的期望的超引力/狄拉克-玻恩-因菲尔德(DBI)对应自然嵌入在这个猜想,可以在一个定义明确的方式进行测试。作为一个例子,我们考虑了在大N,大t 'Hooft极限下,平坦空间中极值D-膜上的开弦场论与10维II型超引力中渐近平坦解之间的对应关系。我们专注于一个方便的长波长制度,高自旋开弦模式的具体影响,可以明确地跟踪在双超引力计算。例如,在这个制度中,我们展示了如何从超引力作为一个简单的相对论流体动力学的重新表述完整的阿贝尔DBI行动。在(2+1)维开弦论的例子中,这种重新表述涉及阿贝尔霍奇对偶。我们还指出如何不同的变形的DBI行动,有关的高导数校正和非阿贝尔效应,可以出现在这种情况下,在相应的相对论流体力学的变形。

英文摘要:

We propose an open/closed string duality in general backgrounds extending previous ideas about open string completeness by Ashoke Sen. Our proposal sets up a general version of holography that works in gravity as a tomographic principle. We argue, in particular, that previous expectations of a supergravity/Dirac-Born-Infeld (DBI) correspondence are naturally embedded in this conjecture and can be tested in a well-defined manner. As an example, we consider the correspondence between open string field theories on extremal D-brane setups in flat space in the large-N, large 't Hooft limit, and asymptotically flat solutions in ten-dimensional type II supergravity. We focus on a convenient long-wavelength regime, where specific effects of higher-spin open string modes can be traced explicitly in the dual supergravity computation. For instance, in this regime we show how the full abelian DBI action arises from supergravity as a straightforward reformulation of relativistic hydrodynamics. In the example of a (2+1)-dimensional open string theory this reformulation involves an abelian Hodge duality. We also point out how different deformations of the DBI action, related to higher-derivative corrections and non-abelian effects, can arise in this context as deformations in corresponding relativistic hydrodynamics.

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