A recent theory of magnetic field amplification in electron holes is extended to derive the magnetic susceptibility of an electron-hole gas propagating in a magnetic flux tube along the ambient magnetic field. It is shown that the hole gas behaves diamagnetic adding some small amount to the well-known Landau susceptibility in the hole-carrying volume.

We consider string theory in the background of the two-dimensional black hole as described by the SL(2; R)=U(1) coset theory recently introduced by Witten. We study the spectrum of this conformal eld theory, and give explicit representations for the tachyon vertex operators in terms of SL(2; R) matrix elements. This is used to compute the scattering of strings oo the black hole and to show that...

Modeling the event horizon of a black hole by a fuzzy sphere leads us to modify some suggestions in the literature concerning black hole mass spectra. We derive a formula for the mass spectrum of quantum black holes in terms of four integers which define the area, angular momentum, electric and magnetic charge of the black hole. Although the event horizon becomes a commutative sphere in the cla...

The black hole solutions in the higher dimensional BransDicke-Maxwell theory are investigated. We find that the presence of the nontrivial scalar field depends on the spacetime dimensions (D). WhenD = 4, the solution corresponds to the Reissner-Nordström black hole with a constant scalar field. In higher dimensions (D > 4), one finds the charged black hole solutions with the nontrivial scalar f...

The SL(2, R)/U(1) coset model, with U(1) an element of the third conjugacy class of SL(2, R) subgroups, is considered. The resulting theory is seen to collapse to a one dimensional field theory of Liouville. Then the 2 dimensional black hole SL(2, R)/U(1), with U(1) a non-compact subgroup boosted by a Lorentz transformation, is considered. In the limit of high boost, the resulting black hole is...

We review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N = 2 black holes and the entanglement of three qubits, the quartic [SL(2)] 3 invariant, Cayley's hyperdeterminant, provides both the black hole entropy and the measure of tripartite entanglement. In th...

We consider asymptotically flat static spherically symmetric black hole solutions in SU(N) Einstein-Yang-Mills theory. Embedding the N -dimensional representation of su(2) in su(N), the purely magnetic gauge field ansatz contains N − 1 functions. When one or more of these gauge field functions are identically zero, magnetically charged EYM black hole solutions emerge, consisting of a neutral an...

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such "horizon constraints" allow the use of conformal field theory techniques to compute the density of states, reproducing the Bekenstein-Hawking entropy in a nearly model-independent manner. One standard string t...

The Wheeler-DeWitt wave functional of a Schwarzschild black hole obeys the two dimensional, massless Klein-Gordon equation and is supported only in the interior of the Kruskal manifold. The horizon acts as a perfectly reflecting surface. Energy eigenstates of definite parity exhibit the Bekenstein mass spectrum, M ∼ nMp. The wave function can be thought of as describing a particle in a one dime...

We study AdS/CFT correspondence in the case of AdS3. We obtain the statistical entropy of the BTZ black hole in terms of the correct central charge and the conformal dimensions for the states corresponding to the BTZ black hole. We point out the difference between our method and the old fashioned approaches based on SL(2, R) Wess-Zumino-Witten model or Liouville theory. email: hyun@kias.re.kr e...