Unity of superstring dualities

Superstring theoryをめぐって(放談室)

We propose a dual non-perturbative description for maximally extended Schwarzschild Anti-de-Sitter spacetimes. The description involves two copies of the conformal field theory associated to the AdS spacetime and an initial entangled state. In this context we also discuss a version of the information loss paradox and its resolution.

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Eternal black holes in anti-de Sitter

Tables of integrals

EDDINGTON'S “Internal Constitution of the Stars” was published in 1926 and gives what now ranks as a classical account of his own researches and of the general state of the theory at that time. Since then, a tremendous amount of work has appeared. Much of it has to do with the construction of stellar models with different equations of state applying in different zones. Other parts deal with the effects of varying chemical composition, with pulsation and tidal and rotational distortion of stars, and with the precise relations between the interior and the atmosphere of a star. The striking feature of all this work is that so much can be done without assuming any particular mechanism of stellar energy-generation. Only such very comprehensive assumptions are made about the distribution and behaviour of the energy sources that we may expect future knowledge of their mechanism to lead mainly to more detailed results within the framework of the existing general theory. An Introduction to the Study of Stellar Structure By S. Chandrasekhar. (Astrophysical Monographs sponsored by The Astrophysical Journal.) Pp. ix+509. (Chicago: University of Chicago Press; London: Cambridge University Press, 1939.) 50s. net.

An Introduction to the Study of Stellar Structure

Moduli space metric for maximally-charged dilaton black holes

Adopting a simple ansatz, we find exact solutions to the Einstein-Maxwell-dilaton equations, which stand for the multi-black hole configuration with maximal charge in a cosmological metric and dilaton field background driven by a cosmological term.

Multi-black hole solutions in cosmological Einstein-Maxwell-dilaton theory

A family of static multicentered solutions to modified Einstein–Maxwell equations coupled with a dilaton is constructed in (1+N) dimensional space–time (N≥2). For N≥3, the solutions are generalizations of the Majumdar–Papapetrou solution. We also find the solution in (1+2) dimensions, where the scalar and vector forces cancel each other in the static case. The interaction between two extreme charged dilaton black holes in the low‐energy limit is investigated in (1+N) dimensions (N≥3). We find that there remains the residual velocity‐dependent force in general cases, except for the case with N=a2.

Multicentered solution for maximally charged dilaton black holes in arbitrary dimensions

The quantum stress tensor near a three-dimensional black hole is studied for a conformally coupled scalar field. The back reaction to the metric is also investigated.

Quantum fluctuation of stress tensor and black holes in three dimensions.

The authors study the quantum effect of self-interacting fields in the classical background of conical space, i.e. around a cosmic string with infinitesimal width. The renormalized value of ( phi 2) and energy-momentum tensor in the presence of cosmic strings are calculated in the self-interacting scalar field theory. The amount of condensation is also estimated in the case of the Dirac Lagrangian with the four-fermion interaction. The physical implications of the above analyses are discussed.

Kiyoshi Shiraishi

Papers

Moduli space metric for maximally-charged dilaton black holes

Multi-black hole solutions in cosmological Einstein-Maxwell-dilaton theory

Multicentered solution for maximally charged dilaton black holes in arbitrary dimensions

Quantum fluctuation of stress tensor and black holes in three dimensions.

Quantum aspects of self-interacting fields around cosmic strings