[en] We calculate logarithmic corrections to the Bekenstein-Hawking entropy for three-dimensional BTZ black hole with J=0 and Kerr-de Sitter (KdS) space with J=0 including the Schwarzschild-de Sitter (SdS) solution due to thermal fluctuations. It is found that there is no distinction between the event horizon of the BTZ black hole and the cosmological horizon of KdS space. We obtain the same correction to the Cardy formula for BTZ, KdS, and SdS cases. We discuss AdS/CFT and dS/ECFT correspondences in connection with logarithmic corrections

[en] We calculate corrections to the Bekenstein-Hawking entropy formula for the five-dimensional topological AdS (TAdS)-black holes and topological de Sitter (TdS) spaces due to thermal fluctuations. We can derive all thermal properties of the TdS spaces from those of the TAdS black holes by replacing k by -k. Also we obtain the same correction to the Cardy-Verlinde formula for TAdS and TdS cases including the cosmological horizon of the Schwarzschild-de Sitter (SdS) black hole. Finally we discuss the AdS/CFT and dS/CFT correspondences and their dynamic correspondences

[en] The authors clarify the spin structures in N = 2 Super Riemann Surfaces of Genus 1 (N = 2 Supertorus)

[en] We introduce a scalar field in eleven-dimensional supergravity through the dual transformation of the totally antisymmetric torsion. All supersymmetries are spontaneously broken by the scalar field and the remaining four-dimensional Einstein space corresponds to anti-- de Sitter space. The holonomy group of the seven-dimensional compact manifold is found to be an SO(7) subgroup of the original SO(8)

[en] We classify all sets of generators for twisted N = 2 supertori into k = -k' = -1, k = -k' = 1, and k = k' = -1. Here k or k' = 1 (-1) represent the untwisted (twisted) case. Under the supermodular transformation, we further divide each case into two types: one carries the supermodular transformation, whereas the other carries only the modular transformation. For the phi = phi' case, we obtain two triplets with respect to the supermodular transformation and one sixplet with respect to the modular transformation

[en] We study the gauge bosons coupled to spin 2 operators as the singleton fields in three-dimensional anti-de Sitter space(AdS₃). One of these can be expressed in terms of a pair of dipole A and B which couple to D and C operators at timelike infinity of AdS₃. These operators form the logarithmic conformal field theory(LCFT₂). Using the correlation function for logarithmic pair, we calculate the greybody factor for the gauge boson. In the low temperature limit of ω/gg T_/pm, this is compared with the result of the bulk AdS₃ calculation. We find that the gauge boson can be realized as a model of the AdS₃/LCFT₂ correspondence. (author)

[en] We have shown that spontaneous compactification in D-dimensional gravity coupled to a rank-three field Fsub(MNP) leads to a product of a four-spacetime and an extra-(D - 4) internal space for the Kaluza-Klein cosmological model. In this model we obtain that for the early universe with negligible k₃(ksub(r)) the three spatial dimensions evolve exponentially, while the internal manifold with constant magnitude oscillates in time. We also find that both the extra-dimensions and the gauge field Fsub(MNP) play crucial roles in the exponentially expanding universe. (orig.)

[en] In the type 0B string theory, we discuss the role of tachyon (T) and fixed scalars (ν, λ). The issue is to explain the difference between tachyon and fixed scalars in the D5_pm-D1_pm black hole background. For this purpose, we perform the semiclassical calculation. Here one finds a mixing between (ν, λ, T) and the other fields. Using the decoupling procedure, one finds the linearized equation for the tachyon. From the potential analysis, it turns out that ν plays a role of test field well, while the tachyon induces an instability of Minkowski space vacuum. But the roles of ν and T are the same in the near-horizon geometry. Finally, we discuss the stability problem. (author)

[en] This paper discusses N = 2, U(1) supermodular transformation on supertorus. For a special case when the U(1) parameter turns off, the authors obtain the supermodular transformation and the authors derive the Green function on supertorus. Further, the authors show that general supermodular transformation cannot be obtained from the Crane and Rabin approach. However, for the case of the U(1) parameter = pure soul, the authors obtain the general N = 2 supermodular transformation

[en] From Ward-Takahashi identifies and full propagators, the authors obtain a massive Proca field U/sub μ/ which has the positive norm state. There also exists a massless physical scalar field H which turns out to be the positive norm state only for 4e/sup 2/ > 1. It is further shown that a dipole ghost field D and auxiliary field B, as quartet members, belong to the zero norm states