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arXiv 1104.5142hep-thgr-qc
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具有共形标量场的三维Einstein引力场的引力/CFT对应

Gravity/CFT correspondence for three dimensional Einstein gravity with a conformal scalar field

M. Hasanpour, F. Loran, H. Razaghian

摘要:

研究了与标量场共形耦合的三维爱因斯坦引力场。这个理论的解是标量曲率为零的几何。我们考虑一个常数标量场对应于一个无限牛顿常数的解决方案。有一类解可能具有曲率奇异性,其渐近对称性由两个维拉索罗代数给出.我们认为相应的CFT的中心荷是无穷大的。此外,我们构造了一族Schwarzschild解,它可以共形映射到具有负宇宙学常数的爱因斯坦方程的Martinez-Zanelli解,该方程耦合到共形标量场。

英文摘要:

We study the three dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an infinite Newton's constant. There is a class of solutions with possible curvature singularities which asymptotic symmetries are given by two copies of the Virasoro algebra. We argue that the central charge of the corresponding CFT is infinite. Furthermore, we construct a family of Schwarzschild solutions which can be conformally mapped to the Martinez-Zanelli solution of Einstein's equations with a negative cosmological constant coupled to conformal scalar field.

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