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A Dynamical Brane in the Gravitational Dual of ${\cal N}=2$ $Sp(N)$ Superconformal Field Theory

Shin'ichi Nojiri·Sergei D. Odintsov·Sachiko Ogushi
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Abstract

The particular model of d5 higher derivative gravity which is dual to ${\cal N}=2$ $Sp(N)$ SCFT is considered. A (perturbative) AdS black hole in such theory is constructed in the next-to-leading order of the AdS/CFT correspondence. The surface counterterms are fixed by the conditions required for a well-defined variational procedure and the finiteness of AdS space (when the brane goes to infinity). A dynamical brane is realized at the boundary of an AdS black hole with a radius that is larger than the horizon radius. The AdS/CFT correspondence dictates the parameters of the gravitational dual in such a way that the dynamical brane (the observable universe) always occurs outside the horizon.

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Shin'ichi Nojiri, Sergei D. Odintsov, Sachiko Ogushi. 2001-05-11. A Dynamical Brane in the Gravitational Dual of ${\cal N}=2$ $Sp(N)$ Superconformal Field Theory. https://doi.org/10.1143/ptp.105.869

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