No abstract

We consider a model of a black hole consisting of a number of elementary components. Examples of such models occur in the Ashtekar's approach to canonical Quantum Gravity and in M-theory. We show that treating the elementary components as completely distinguishable leads to the area law for the black hole entropy. Contrary to previous results, we show that no Bose condensation occurs, the area has big local fluctuations and that in the framework of canonical Quantum Gravity the area of the black hole horizon is equidistantly quantized.Comment: LaTeX, 4 page

We find the anomalous dimension and the conserved charges of an R-charged string pulsating on AdS 5 . The analysis is performed both on the gauge and string side, where we find agreement at the one-loop level. Furthermore, the solution is shown to be related by analytic continuation to a string which is pulsating on S 5 , thus providing an example of the close relationship between the respective isometry groups.

We discuss exact quantization of gravitational fluctuations in the half-BPS sector around AdS 5 ×S 5 background, using the dual super Yang-Mills theory. For this purpose we employ the recently developed techniques for exact bosonization of a finite number N of fermions in terms of N bosonic oscillators. An exact computation of the three-point correlation function of gravitons for finite N shows that they become strongly coupled at sufficiently high energies, with an interaction that grows exponentially in N. We show that even at such high energies a description of the bulk physics in terms of weakly interacting particles can be constructed. The single particle states providing such a description are created by our bosonic oscillators or equivalently these are the multi-graviton states corresponding to the so-called Schur polynomials. Both represent single giant graviton states in the bulk. Multi-particle states corresponding to multi-giant gravitons are, however, different, since interactions among our bosons vanish identically, while the Schur polynomials are weakly interacting at high enough energies.