scholarly journals Precision lattice test of the gauge/gravity duality at large N

2016 ◽  
Vol 94 (9) ◽  
Author(s):  
Evan Berkowitz ◽  
Enrico Rinaldi ◽  
Masanori Hanada ◽  
Goro Ishiki ◽  
Shinji Shimasaki ◽  
...  
Keyword(s):  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality

A DIRECT TEST OF THE GAUGE/GRAVITY DUALITY AND THE STRING THEORETICAL DESCRIPTION OF A BLACK HOLE

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2161-2164 ◽  
Author(s):  
JUN NISHIMURA
Keyword(s):  
Black Hole ◽  
Theoretical Description ◽  
Direct Test ◽  
Strongly Coupled ◽  
Open Strings ◽  
Large N ◽  
Brane Solution ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Microscopic Origin

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.

scholarly journals Testing the holographic principle using lattice simulations

2018 ◽  
Vol 175 ◽  
pp. 08004 ◽  
Author(s):  
Raghav G. Jha ◽  
Simon Catterall ◽  
David Schaich ◽  
Toby Wiseman
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Strong Coupling ◽  
Type Ii ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Made In

The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory–Laflamme) between them.

scholarly journals BLACK HOLES IN THE PRESENCE OF COSMOLOGICAL CONSTANT AND LARGE-N BRANE WORLD

2009 ◽  
Vol 24 (26) ◽  
pp. 2107-2118 ◽  
Author(s):  
MINGXING LUO ◽  
SIBO ZHENG
Keyword(s):  
Cosmological Constant ◽  
Higher Dimensions ◽  
Brane World ◽  
Gauge Fields ◽  
Brane Worlds ◽  
Gravitational Theories ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Constant Dilaton

Gravitational theories including negative cosmological constant, dilaton and gauge fields are explored in higher dimensions, in which black hole solutions are shown to exist and their asymptotic behaviors are obtained. Based on these solutions, effective Randall–Sundrum brane worlds are constructed. In the framework of gauge/gravity duality, effects from cosmological constant on the spectra of standard model fields on the branes are perturbatively calculated.

Gauge/gravity duality — From lattice gauge theory to black hole

2017 ◽  
Vol 32 (36) ◽  
pp. 1747018 ◽  
Author(s):  
Daisuke Kadoh
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Finite Temperature ◽  
Lattice Gauge Theory ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality

The duality conjecture states that [Formula: see text]-dimensional maximally supersymmetric Yang–Mills theory at finite temperature is expected to be dual to the non extremal black [Formula: see text]-brane at large N. We perform the lattice simulations of SYM for [Formula: see text] to investigate the validity of the conjecture. We show that the conjecture is qualitatively valid by comparing lattice results of the black [Formula: see text]-branes mass with analytic expectations in the gravity side.

scholarly journals Physical effects of the gravitational Θ-parameter

2016 ◽  
Vol 25 (12) ◽  
pp. 1644022 ◽  
Author(s):  
Willy Fischler ◽  
Sandipan Kundu
Keyword(s):  
Gauge Theory ◽  
Transport Coefficient ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Total Derivative ◽  
Third Order ◽  
Large N ◽  
Physical Effects ◽  
Gauge Gravity ◽  
Gravity Duality

We describe the effect of the gravitational [Formula: see text]-parameter on the behavior of the stretched horizon of a black hole in [Formula: see text]-dimensions. The gravitational [Formula: see text]-term is a total derivative, however, it affects the transport properties of the horizon. In particular, the horizon acquires a third-order parity violating, dimensionless transport coefficient which affects the way localized perturbations scramble on the horizon. In the context of the gauge/gravity duality, the [Formula: see text]-term induces a nontrivial contact term in the energy–momentum tensor of a [Formula: see text]-dimensional large-N gauge theory, which admits a dual gravity description. As a consequence, the dual gauge theory in the presence of the [Formula: see text]-term acquires the same third-order parity violating transport coefficient.

scholarly journals Gauge/gravity duality and meta-stable dynamical supersymmetry breaking

2007 ◽  
Vol 2007 (01) ◽  
pp. 083-083 ◽  
Author(s):  
Riccardo Argurio ◽  
Matteo Bertolini ◽  
Sebastián Franco ◽  
Shamit Kachru
Keyword(s):  
Supersymmetry Breaking ◽  
Gauge Gravity ◽  
Gravity Duality

scholarly journals Thermodynamics of quasiconformal theories from gauge/gravity duality

2010 ◽  
Vol 82 (5) ◽  
Author(s):  
Janne Alanen ◽  
Keijo Kajantie ◽  
Kimmo Tuominen
Keyword(s):  
Gauge Gravity ◽  
Gravity Duality

Generalized information and entanglement entropy, gravitation and holography

2015 ◽  
Vol 30 (16) ◽  
pp. 1530039 ◽  
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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