arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1011.2172hep-th
收藏

p波全息超导体与五维规范超引力

p-wave Holographic Superconductors and five-dimensional gauged Supergravity

Francesco Aprile, Diego Rodriguez-Gomez, Jorge G. Russo

备注：
35 pages, 14 figures
发表信息：
JHEP 1101:056,2011
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们探索了五维${\cal N}=4$ $SU(2)\times U(1)$和${\cal N}=8$ SO（6）规范超引力作为凝聚态应用的框架。这些理论包含带电的（电子）黑洞和2-形式，它们相对于SO（6）的U（1）子群具有非平凡的量子数。一个令人感兴趣的问题是，它们是否也包含具有两种形式的头发的黑洞，这些头发具有产生全息超导性所需的渐近性。我们首先考虑${\cal N}=4$的情况，它包含一个复二型势$A_{μν}$，它具有U（1）电荷$\pm 1$。我们发现，一个轻微的推广，其中的两种形式的潜在有一个任意的电荷$q$，导致一个五维模型，表现出二阶超导转变的p波型的序参量的作用是由$A_{μν}$，提供$q \gtrsim 5.6$。我们确定了在对偶CFT中凝聚的算子，这与具有化学势的${\cal N}=4$ Super Yang-Mills理论密切相关。在广义的${\cal N}=8$规范超引力拉格朗日量中发现了R-带电黑洞和2-形式头发黑洞之间的类似相变，其中两种形式都带有电荷$q\gtrsim 1.8$ .

英文摘要：

We explore five-dimensional ${\cal N}=4$ $SU(2)\times U(1)$ and ${\cal N}=8$ SO(6) gauged supergravities as frameworks for condensed matter applications. These theories contain charged (dilatonic) black holes and 2-forms which have non-trivial quantum numbers with respect to U(1) subgroups of SO(6). A question of interest is whether they also contain black holes with two-form hair with the required asymptotic to give rise to holographic superconductivity. We first consider the ${\cal N}=4$ case, which contains a complex two-form potential $A_{μν}$ which has U(1) charge $\pm 1$. We find that a slight generalization, where the two-form potential has an arbitrary charge $q$, leads to a five-dimensional model that exhibits second-order superconducting transitions of p-wave type where the role of order parameter is played by $A_{μν}$, provided $q \gtrsim 5.6$. We identify the operator that condenses in the dual CFT, which is closely related to ${\cal N}=4$ Super Yang-Mills theory with chemical potentials. Similar phase transitions between R-charged black holes and black holes with 2-form hair are found in a generalized version of the ${\cal N}=8$ gauged supergravity Lagrangian where the two-forms have charge $q\gtrsim 1.8$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑