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Static axisymmetric vacuum solutions and non-uniform black strings
We describe new numerical methods to solve the static axisymmetric vacuum Einstein equations in more than four dimensions. As an illustration, we study the compactified non-uniform black string phase
Quantum criticality and holographic superconductors in M-theory
We present a consistent Kaluza-Klein truncation of D = 11 supergravity on an arbitrary seven-dimensional Sasaki-Einstein space (SE7) to a D = 4 theory containing a metric, a gauge-field, a complex
Holographic superconductivity in M theory.
Using seven-dimensional Sasaki-Einstein spaces we construct solutions of D=11 supergravity that are holographically dual to superconductors in three spacetime dimensions. Our numerical results
Black-hole–black-string phase transitions in thermal (1 + 1)-dimensional supersymmetric Yang–Mills theory on a circle
We review and extend earlier work that uses the AdS/CFT correspondence to relate the black-hole-black-string transition of gravitational theories on a circle to a phase transition in maximally
A new approach to static numerical relativity and its application to Kaluza–Klein black holes
We propose a framework for solving the Einstein equation for static and Euclidean metrics. First, we address the issue of gauge-fixing by borrowing from the Ricci-flow literature the so-called
Plasma balls in large-N gauge theories and localized black holes
We argue for the existence of plasma balls-metastable, nearly homogeneous lumps of gluon plasma at just above the deconfinement energy density-in a class of large-N confining gauge theories that
Connecting black holes and black strings.
New numerical solutions for these localized black holes in 5 and 6 dimensions are presented, providing evidence that the black hole and nonuniform string branches join at a topology changing solution.
The phase structure of low dimensional large N gauge theories on tori
In this paper we continue our study of the thermodynamics of large N gauge theories on compact spaces. We consider toroidal compactifications of pure SU(N) Yang-Mills theories and of maximally
Gravity and large black holes in Randall-Sundrum II braneworlds.
The boundary conditions are modified to numerically construct large RSII static black holes with radius up to ~20ℓ and the RSII solutions are indeed close to the associated AdS(5)-CFT(4) solution.
Stationary holographic plasma quenches and numerical methods for non-killing horizons.
This work explores use of the harmonic Einstein equations to numerically find stationary black holes where the problem is posed on an ingoing slice that extends into the interior of the black hole, and finds the first nonperturbative examples of stationary black hole which do not have Killing horizons.