Introduction to Gauge/Gravity Duality

We perform a direct test of the gauge/gravity duality by studying one-dimensional U (N) gauge theory with 16 supercharges at finite temperature using Monte Carlo simulation. In the 't Hooft large-N limit and in the strong coupling limit, the model is expected to have a dual gravity description in terms of the near-extremal black 0-brane solution in ten-dimensional type IIA supergravity. Our results provide the first example, in which the microscopic origin of the black hole thermodynamics is accounted for by solving explicitly the strongly coupled dynamics of the open strings attached to the D-branes.

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Thermodynamics of quasiconformal theories from gauge/gravity duality

Physical Review D ◽

10.1103/physrevd.82.055024 ◽

2010 ◽

Vol 82 (5) ◽

Cited By ~ 16

Author(s):

Janne Alanen ◽

Keijo Kajantie ◽

Kimmo Tuominen

Keyword(s):

Gauge Gravity ◽

Gravity Duality

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Generalized information and entanglement entropy, gravitation and holography

International Journal of Modern Physics A ◽

10.1142/s0217751x15300392 ◽

2015 ◽

Vol 30 (16) ◽

pp. 1530039 ◽

Cited By ~ 10

Author(s):

O. Obregón

Keyword(s):

Entanglement Entropy ◽

Ideal Gas ◽

Einstein Equations ◽

Von Neumann Entropy ◽

Nonextensive Statistical Mechanics ◽

Von Neumann ◽

H Theorem ◽

Gauge Gravity ◽

Gravity Duality ◽

Correction Terms

A nonextensive statistical mechanics entropy that depends only on the probability distribution is proposed in the framework of superstatistics. It is based on a Γ(χ2) distribution that depends on β and also on pl. The corresponding modified von Neumann entropy is constructed; it is shown that it can also be obtained from a generalized Replica trick. We further demonstrate a generalized H-theorem. Considering the entropy as a function of the temperature and volume, it is possible to generalize the equation of state of an ideal gas. Moreover, following the entropic force formulation a generalized Newton's law is obtained, and following the proposal that the Einstein equations can be deduced from the Clausius law, we discuss on the structure that a generalized Einstein's theory would have. Lastly, we address the question whether the generalized entanglement entropy can play a role in the gauge/gravity duality. We pay attention to 2d CFT and their gravity duals. The correction terms to the von Neumann entropy result more relevant than the usual UV ones and also than those due to the area dependent AdS3 entropy which result comparable to the UV ones. Then the correction terms due to the new entropy would modify the Ryu–Takayanagi identification between the CFT entanglement entropy and the AdS entropy in a different manner than the UV ones or than the corrections to the AdS3 area dependent entropy.

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