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arXiv 0905.4766hep-th
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AdS虫洞上的字符串

Strings on AdS Wormholes

Mir Ali, Frenny Ruiz, Carlos Saint-Victor, Justin F. Vazquez-Poritz

摘要:

我们在高斯-邦尼特理论中考虑开弦在AdS虫孔上的行为,它是一对场论的高斯-邦尼特引力场。一个两端都在虫洞同一侧的弦描述了同一场论中的两个电荷,它们在小距离处表现出库仑相互作用。另一方面,穿过虫洞的弦描述了两个处于不同场论中的电荷,它们表现出类似弹簧的限制势。当每个场论中存在一对电荷时,就会发生跃迁:对于小间距,每对电荷都表现出库仑相互作用,而对于大间距,不同场论中的电荷配对并表现出限制。在不同的场论中,两个匀速运动的电荷可以占据相同的位置,只要它们的速度小于临界速度,这也起到了亚光速极限的作用。然而,在某些虫洞背景下,以临界速度运动的电荷不能占据相同的位置,能量从领先的电荷转移到滞后的电荷。我们还表明,在超引力理论中没有高阶导数曲率项的AdS虫洞上的弦也可以表现出这些性质。

英文摘要:

We consider the behavior of open strings on AdS wormholes in Gauss-Bonnet theory, which are the Gauss-Bonnet gravity duals of a pair of field theories. A string with both endpoints on the same side of the wormhole describes two charges within the same field theory, which exhibit Coulomb interaction for small separation. On the other hand, a string extending through the wormhole describes two charges which live in different field theories, and they exhibit a spring-like confining potential. A transition occurs when there is a pair of charges present within each field theory: for small separation each pair of charges exhibits Coulomb interaction, while for large separation the charges in the different field theories pair up and exhibit confinement. Two steadily-moving charges in different field theories can occupy the same location provided that their speed is less than a critical speed, which also plays the role of a subluminal speed limit. However, for some wormhole backgrounds, charges moving at the critical speed cannot occupy the same location and energy is transferred from the leading charge to the lagging one. We also show that strings on AdS wormholes in supergravity theories without higher-derivative curvature terms can exhibit these properties as well.

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