A curious dichotomy in the physics of black holes is that they typically are thermodynamically unstable, in that they have negative specific heat; but in a classical treatment, they are stable against small perturbations of the metric (see for example [1, 2] for discussions of Schwarzschild and Kerr black holes in asymptotically flat space). In the past several years, following [3], there has b...

In the mapping from four-dimensional gauge theories to string theory in AdS space, many features of gauge theory can be described by branes wrapped in different ways on S, RP, or subspaces therefore. These include a baryon vertex coupling N external charges in the fundamental representation of SU(N), a bound state of k gluons in SO(2k) gauge theory, strings coupled to external charges in the sp...

In classical general relativity there are many solutions of Einstein equations with closed timelike curves (CTCs) [1–6]. However, some early calculations of vacuum polarization in spacetimes with CTCs indicated that the renormalized stress-energy tensor diverged at the Cauchy horizon or the polarized hypersurfaces [7–10]. Hawking thus proposed the chronology protection conjecture which stated t...

For generic field theories at finite temperature, a power-law falloff of correlation functions of conserved currents at long times is a prediction of non-linear hydrodynamics. We demonstrate, through a one-loop computation in Einstein gravity in Anti de Sitter space, that this effect is reproduced by the dynamics of black hole horizons. The result is in agreement with the gauge-gravity correspo...

It has been known for some time that the AdS/CFT correspondence predicts a limit on the number of single particle states propagating on the compact spherical component of the AdS × S geometry. The limit is called the stringy exclusion principle. The physical origin of this effect has been obscure but it is usually thought of as a feature of very small distance physics. In this paper we will sho...

We work on the relation between the local thermodynamic instability and the dynamical instability of large black holes in four-dimensional anti-de Sitter space proposed by Gubser and Mitra. We find that all perturbations suppressing the metric fluctuations at linear order become dynamically unstable when black holes lose the local thermodynamic stability. We discuss how dynamical instabilities ...

The correspondence between string theory in Anti-de Sitter space and super Yang Mills theory is an example of the Holographic principle according to which a quantum theory with gravity must be describable by a boundary theory. However, arguments given so far are incomplete because, while the bulk theory has been related to a boundary theory, the holo-graphic bound saying that the boundary theor...

Asymptotically anti-de Sitter space-times are considered in a general dimension d ≥ 4. As one might expect, the boundary conditions at infinity ensure that the asymptotic symmetry group is the anti-de Sitter group (although there is an interesting subtlety if d = 4). Asymptotic field equations imply that, associated with each generator ξ of this group, there is a quantity Qξ which satisfies the...

We develop a formalism to evaluate generic scalar exchange diagrams in AdSd+1 relevant for the calculation of four-point functions in AdS/CFT correspondence. The result may be written as an infinite power series of functions of cross-ratios. Logarithmic singularities appear in all orders whenever the dimensions of involved operators satisfy certain relations. We show that the AdSd+1 amplitude c...

We propose that the state represented by the Nariai black hole inside de Sitter space is the ground state of the de Sitter gravity, while the pure de Sitter space is the maximal energy state. With this point of view, we investigate thermodynamics of de Sitter space, we find that if there is a dual field theory, this theory can not be a CFT in a fixed dimension. Near the Nariai limit, we propose...