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IMP Study on Holographic Dual of Black Holes and Conformal Field Theory
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Researchers in nuclear theory group of IMP have made progress in studying the holographic dual of black holes and conformal field theory. By using the recent proposal of Kerr/CFT dual by string theorists Prof. A. Strominger, researchers have investigated the holographic dual of the rotating linear dilaton black holes in Einstein-Maxwell-Dilaton-Axion gravity and conformal field theory.

In string theory, holographic principle is believed to be the general property of quantum gravity system, which states that the description of a volume of space can be thought of as encoded on a boundary to the region. AdS/CFT (Anti de Sitter Space/Conformal Field Theory) correspondence is the rigorous realization of holographic principle in string theory, which provides us a powerful tool to study the strong coupled field theories, for example, quantum critical theories in condensed matter physics and non-perturbation QCD theory.

Recently, researchers in nuclear theory group of IMP employed the proposal of Kerr/CFT dual to study the holographic aspect of the external and non-external rotating black holes in Einstein-Maxwell-Dilaton-Axion gravity which is asymptotic to linear dilaton background spacetime.

For the case of external black holes, they found that the conserved charges associated with the asymptotic symmetry group of the near-horizon external geometry form a copy of Virasoro algebra, which implies that the quantum states can be identified as those of a two dimensional conformal field theory. It is shown that the microscopic entropy of the dual conformal field given by Cardy formula exactly agrees with Bekenstein-Hawking entropy of external black hole.

For the non-external black holes, they found that the wave equation of massless scalar field with sufficient low energy can be rewritten as the SL(2,C) Casimir operator, which uncovered the hidden conformal symmetry of linear dilaton black holes. The conclusion of the dual between linear dilaton black hole and CFT is finally checked by reproducing the Bekenstein-Hawking entropy from Cardy formula.

The related research results have been published in Journal of High Energy Physics, 09(2010),039, DOI: 10.1007/JHEP09(2010)039.

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