scholarly journals The double cone geometry is stable to brane nucleation

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Raghu Mahajan ◽  
Donald Marolf ◽  
Jorge E. Santos
Keyword(s):  
Form Factor ◽  
Quantum Chaos ◽  
Higher Dimensions ◽  
Double Cone ◽  
Spectral Form ◽  
Factorization Problem ◽  
Gauge Gravity ◽  
M Theory ◽  
Gravity Duality ◽  
Probe Brane

Abstract In gauge/gravity duality, the bulk double cone geometry has been argued to account for a key feature of the spectral form factor known as the ramp. This feature is deeply associated with quantum chaos in the dual field theory. The connection with the ramp has been demonstrated in detail for two-dimensional theories of bulk gravity, but it appears natural in higher dimensions as well. In a general bulk theory the double cone might thus be expected to dominate the semiclassical bulk path integral for the boundary spectral form factor in the ramp regime. While other known spacetime wormholes have been shown to be unstable to brane nucleation when they dominate over known disconnected (factorizing) solutions, we argue below that the double cone is stable to semiclassical brane nucleation at the probe-brane level in a variety of string- and M-theory settings. Possible implications for the AdS/CFT factorization problem are briefly discussed.

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.

scholarly journals Spectral form factor for time-dependent matrix model

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Arkaprava Mukherjee ◽  
Shinobu Hikami
Keyword(s):  
Form Factor ◽  
Matrix Model ◽  
Random Matrix ◽  
Quantum Chaos ◽  
Numerical Evaluation ◽  
Time Dependent ◽  
Spectral Form ◽  
Random Matrix Model ◽  
Large Size ◽  
Analytic Expression

Abstract The quantum chaos is related to a Gaussian random matrix model, which shows a dip-ramp-plateau behavior in the spectral form factor for the large size N. The spectral form factor of time dependent Gaussian random matrix model shows also dip-ramp-plateau behavior with a rounding behavior instead of a kink near Heisenberg time. This model is converted to two matrix model, made of M1 and M2. The numerical evaluation for finite N and analytic expression in the large N are compared for the spectral form factor.

scholarly journals NUMERICAL RELATIVITY IN HIGHER DIMENSIONS

2013 ◽  
Vol 22 (04) ◽  
pp. 1330005 ◽  
Author(s):  
ULRICH SPERHAKE
Keyword(s):  
Numerical Relativity ◽  
Higher Dimensions ◽  
De Sitter ◽  
Numerical Techniques ◽  
Fundamental Properties ◽  
Numerical Studies ◽  
Higher Dimensional ◽  
Recent Developments ◽  
Gauge Gravity ◽  
Gravity Duality

We present an overview of recent developments in numerical relativity studies of higher dimensional spacetimes with a focus on time evolutions of black hole (BH) systems. After a brief review of the numerical techniques employed for these studies, we summarize results grouped into the following three areas: (i) numerical studies of fundamental properties of BHs, (ii) applications of BH collisions to the modeling of Trans-Planckian scattering and (iii) numerical studies of asymptotically anti-de Sitter spacetimes in the context of the gauge-gravity duality.

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.

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

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 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
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