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 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 What lattice theorists can do for superstring/M-theory

2016 ◽  
Vol 31 (22) ◽  
pp. 1643006 ◽  
Author(s):  
Masanori Hanada
Keyword(s):  
Gauge Theory ◽  
Real Time ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Gauge Gravity ◽  
Real Time Simulations ◽  
M Theory ◽  
Gravity Duality

The gauge/gravity duality provides us with nonperturbative formulation of superstring/M-theory. Although inputs from gauge theory side are crucial for answering many deep questions associated with quantum gravitational aspects of superstring/M-theory, many of the important problems have evaded analytic approaches. For them, lattice gauge theory is the only hope at this moment. In this review I give a list of such problems, putting emphasis on problems within reach in a five-year span, including both Euclidean and real-time simulations.

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.

Finite temperature SU(2) lattice gauge theory

1985 ◽  
Vol 100 (3) ◽  
pp. 313-341 ◽  
Author(s):  
E. T. Tomboulis ◽  
L. G. Yaffe
Keyword(s):  
Gauge Theory ◽  
Finite Temperature ◽  
Lattice Gauge Theory ◽  
Lattice Gauge

scholarly journals A finite temperature investigation of dual superconductivity in the modified SO(3) lattice gauge theory

2004 ◽  
Vol 599 (3-4) ◽  
pp. 278-284 ◽  
Author(s):  
A. Barresi ◽  
G. Burgio ◽  
M. D'Elia ◽  
M. Müller-Preussker
Keyword(s):  
Gauge Theory ◽  
Finite Temperature ◽  
Lattice Gauge Theory ◽  
Lattice Gauge
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