Scholar iON
Academic Synthesis
The body of research represented by these papers primarily explores advanced concepts in theoretical and mathematical physics, focusing on various aspects of conformal field theories (CFTs) and their boundary conditions. Ishimoto's work delves into logarithmic conformal field theories, specifically investigating two-point functions and boundary operators within $c_{p,q}$ models, uncovering important relationships in the context of the Coulomb gas picture, and confirming previous findings. The other papers, though largely withdrawn or resubmitted, indicate a broader scholarly engagement with related theoretical constructs, such as the quark-gluon string model and SL(2,Z) duality, which are significant in understanding quantum mechanics and string theory. These studies, however disparate in their immediate availability, collectively underscore ongoing efforts to unravel complex interactions at the quantum level, contributing to a deeper understanding of fundamental physical laws and symmetries.
Amongst conformal field theories, there exist logarithmic conformal field theories such as $c_{p,1}$ models. We have investigated $c_{p,q}$ models with a boundary in search of logarithmic theories and have found logarithmic solutions of two-point functions in the context of the Coulomb gas picture. We have also found the relations between coefficients in the two-point functions and correlation functions of logarithmic boundary operators, and have confirmed the solutions in [hep-th/0003184]. Other two-point functions and boundary operators have also been studied in the free boson construction of boundary CFT with $SU(2)_k$ symmetry in regard to logarithmic theories. This paper is based on a part of D. Phil. Thesis [hep-th/0312160].
Resubmitted as hep-ph/9502316. Removed from hep-th. Incorrigibly inept submitter publicly excoriated.
This paper has been withdrawn since the material in these notes has been updated, and extended, in hep-th/0409031 and hep-th/0409033, and in work to follow.
Paper is withdrawn and superseded by EFI-94-36 which will appear shortly with the new hep-th number hep-th/9407111 .
In a recent paper hep-th/0008140 by E. Verlinde, an interesting formula has been put forward, which relates the entropy of a conformal formal field in arbitrary dimensions to its total energy and Casimir energy. This formula has been shown to hold for the conformal field theories that have AdS duals in the cases of AdS Schwarzschild black holes and AdS Kerr black holes. In this paper we further check this formula with various black holes with AdS asymptotics. For the hyperbolic AdS black holes, the Cardy-Verlinde formula is found to hold if we choose the ``massless'' black hole as the ground state, but in this case, the Casimir energy is negative. For the AdS Reissner-Nordström black holes in arbitrary dimensions and charged black holes in D=5, D=4, and D=7 maximally supersymmetric gauged supergravities, the Cardy-Verlinde formula holds as well, but a proper internal energy which corresponds to the mass of supersymmetric backgrounds must be subtracted from the total energy. It is failed to rewrite the entropy of corresponding conformal field theories in terms of the Cardy-Verlinde formula for the AdS black holes in the Lovelock gravity.
This manuscript has been withdrawn by the author. Some of the material has been included in the manuscript 'Embedded Monopoles' at hep-th/0106254.
[NOTE: This 1983 preprint is being uploaded to arXiv.org after the death of its author, who supported online distribution of his work. Contact info of the submitter is at http://ilya.cc .]
The positions of neutron resonances have been shown to be highly sensitive to the variation of fundamental nuclear constants. The analysis of the measured isotopic shifts in the natural fossil reactor at Oklo gives the following restrictions on the possible rates of the interaction constants variation: strong ~2x10^-19 yr^-1, electromagnetic ~5x10^-18 yr^-1, weak ~10^-12 yr^-1. These limits permit to exclude all the versions of nuclear constants contemporary variation discussed in the literature. URL: http://alexonline.info >. For more recent analyses see hep-ph/9606486, hep-ph/0205206 and astro-ph/0204069 .
Report in extended abstract form. Based on talk given at Strings '95, Los Angeles, CA. This is a summary of the findings initially presented in hep-th/9505080. Results of a step (the complete classification of free fermionic solutions to $N=1$ spacetime) in the search for stringy three-generation SO(10) SUSY-GUTs are reviewed.
We supplement the discussion on localization of gravity on dilatonic domain walls in ``Solitons in Brane Worlds'' (Nucl. Phys. B576, 106, hep-th/9911218) by giving unified and coherent discussion which combines the result of this paper and the expanded results in the author's subsequent papers in an attempt to avoid misleading readers. We also discuss the possible string theory embeddings of the Randall-Sundrum type brane world scenarios through non-dilatonic and dilatonic domain walls, which straightforwardly follows from the author's previous works but was not elaborated explicitly.