arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.12344hep-th
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BPS边界上的弦结构

Stringy Structure at the BPS Bound

Emil J. Martinec, Stefano Massai, David Turton

摘要:

我们探讨的1/2-BPS束缚态的NS五膜携带动量或基本弦电荷的弦结构,在去耦限制导致小弦论和AdS 3/CFT 2对偶。我们使用零规范西格玛模型开发了这些状态的精确世界表描述,并通过推导椭圆NS 5-F1超管源的封闭形式的解决方案来说明该结构。Calabi-Yau/Landau-Ginsburg对应将这个几何世界面描述映射到一个非紧LG模型,其超势由五膜源组态决定。当五膜世界体积自相交时,1/2-BPS位形空间的奇异极限就会产生,这可以从CY/LG对偶的两侧看出--在朗道-金斯伯格一侧,从超势的退化,在几何一侧,从D-膜探测的分析。这些奇异极限是通过变得无质量的膜的凝聚而形成黑洞的门户,因此在引力体描述中展示了作为黑洞热力学基础的非引力对偶理论中的核心作用者。

英文摘要:

We explore the stringy structure of 1/2-BPS bound states of NS fivebranes carrying momentum or fundamental string charge, in the decoupling limits leading to little string theory and to AdS3/CFT2 duality. We develop an exact worldsheet description of these states using null-gauged sigma models, and illustrate the construction by deriving the closed-form solution sourced by an elliptical NS5-F1 supertube. The Calabi-Yau/Landau-Ginsburg correspondence maps this geometrical worldsheet description to a non-compact LG model whose superpotential is determined by the fivebrane source configuration. Singular limits of the 1/2-BPS configuration space result when the fivebrane worldvolume self-intersects, as can be seen from both sides of the CY/LG duality - on the Landau-Ginsburg side from the degeneration of the superpotential(s), and on the geometrical side from an analysis of D-brane probes. These singular limits are a portal to black hole formation via the condensation of the branes that are becoming massless, and thus exhibit in the gravitational bulk description the central actors in the non-gravitational dual theory underlying black hole thermodynamics.

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