We investigate the open mirror symmetry of certain non-complete intersection
Calabi- Yau 3-folds, so called pfaffian Calabi-Yau. We perform the prediction
of the number of disk invariants of several examples by using the direct
integration method ...
We develop some computational methods for the integrals over the 3-chains on
the compact Calabi-Yau 3-folds that plays a prominent role in the analysis of
the topological B-model in the context of the open mirror symmetry. We discuss
such 3-chain ...
We consider brane gas models based on type II string theories and analyze the
mass, the Ramond-Ramond charge and the charge on moduli fluctuations of branes
wrapping over cycles of a compactified space in the four-dimensional Einstein
frame. A six...
Use of the Classroom Response System (CRS) device called "Clicker" is wide spread among universities in the United States and is now considered an essential tool for teaching. The clicker is introduced for the teaching of a physics class in Hokkai...
We consider a compactification with a six-dimensional torus in the type II
brane gas models. We show that the dilaton and the scale of each cycle of the
internal space are fixed in the presence of NS5-brane and Kaluza-Klein
monopoles as well as D-...
We introduced a streaming server system to serve students with recorded lectures in introductory physics. Three cameras were set in a lecture room. A video recorder received one of the three signals through a switcher. One of our staff selected th...
We consider the cosmological models for the higher dimensional spacetime
which includes the curvatures of our space as well as the curvatures of the
internal space. We find that the condition for the integrability of the
cosmological equations is ...
Recently, Schnabl constructed the analytic solution of the open string
tachyon. Subsequently, the absence of the physical states at the vacuum was
proved. The development relies heavily on the use of the gauge condition
different from the ordinary...
We discuss how to obtain the superpotential of the baryons and mesons for
SU(N) gauge theories with N flavour matter fields from matrix integral. We
apply the mean-field approximation for the matrix integral. Assuming the planar
limit of the self-...
We evaluate the decay rate of the uniformly accelerated proton. We obtain an
analytic expression for inverse beta decay process caused by the acceleration.
We evaluate the decay rate both from the inertial frame and from the
accelerated frame wher...
We derive the superpotential of gauge theories having matter fields in the
fundamental representation of gauge fields by using the method of Dijkgraaf and
Vafa. We treat the theories with one flavour and reproduce a well-known
Progress of theoretical physics 103(4) 723-731 2000年4月
By using an analytic solution of the Teukolsky, equation in the kerr-de Sitter and Kerr-Newman-de Sitter geometries, an analytic expression of the absorption rate formulae for these black holes is calculated.
Progress of theoretical physics 102(2) 253-272 1999年8月
An analytic solution of the Teukolsky equation in Kerr-de Sitter and Kerr-Newman-de Sitter geometries is presented, and the properties of this solution are examined. In particular, we show that our solution satisfies the Teukolsky-Starobinsky iden...
The analytic solution of Teukolsky equation in Kerr-de Sitter and
Kerr-Newman-de Sitter geometries is presented and the properties of the
solution are examined. In particular, we show that our solution satisfies the
Progress of theoretical physics 100(3) 491-505 1998年9月
It is well known that the perturbation equations of massless fields for the Kerr-de Sitter geometry can be written in the form of separable equations. The equations have five definite singularities, so it has been thought that their analysis would...
It is well known that the perturbation equations of massless fields for the
Kerr-de Sitter geometry can be written in the form of separable equations. The
equations have five definite singularities so that the analysis has been
expected to be diff...
By studying the quantum Hall effect of stationary states with high values of
injected current using a von Neumann lattice representation, we found that
broadening of extended state bands due to a Hall electric field occurs and
causes the breakdown...
We show how to evaluate the periods in Seiberg-Witten theories and in
K3-fibered Calabi-Yau manifolds by using fibrations of the theories. In the
Seiberg-Witten theories, it is shown that the dual pair of fields can be
constructed from the classic...
In SU(2) Seiberg-Witten theory, it is known that the dual pair of fields are
expressed by hypergeometric functions. As for the theory with SU(3) gauge
symmetry without matters, it was shown that the dual pairs of fields can be
expressed by means o...
The conifold singularities in the type-II string are considered as the points
of phase transition. In some cases, these singularities can be understood in
the framework of the conventional fields theores as the points of enhanced
gauge symmetry. W...
We show how to give the expression for periods, Higgs field and its dual of
N=2 supersymmetric Yang-Mills theory around the conformal point. This is
achieved by evaluating the integral representation in the weak coupling region,
and by using analy...
Progress of theoretical physics 96(3) 549-565 1996年9月
Analytic solutions of the Regge-Wheeler equation are presented in the form of a series of hypergeometric functions and Coulomb wave functions which have different regions of convergence.Relations among these solutions are established. The series s...
We show how to obtain the explicite form of the low energy quantum effective
action for supersymmetric Yang-Mills theory in the weak coupling region
from the underlying hyperelliptic Riemann surface. This is achieved by
evaluating the integr...
We derive a simple formula for the periods associated with the low energy
effective action of supersymmetric Yang-Mills theory with
massive hypermultiplets. This is given by evaluating explicitly
the integral associated t...
Progress of theoretical physics 95(6) 1079-1096 1996年6月
Analytic solutions of the Teukolsky equation for arbitrary spin weight in Kerr geometry are presented in the form of series of hypergeometric functions and Coulomb wave functions. Relations between these solutions are established. The solutions pr...
Analytic solutions of the Regge-Wheeler equation are presented in the form of
series of hypergeometric functions and Coulomb wave functions which have
different regions of convergence. Relations between these solutions are
established. The series ...
It is known that the radial equation of the massless fields with spin around
Kerr black holes cannot be solved by special functions. Recently, the analytic
solution was obtained by use of the expansion in terms of the special functions
Analytic solutions of the Teukolsky equation in Kerr geometries are presented
in the form of series of hypergeometric functions and Coulomb wave functions.
Relations between these solutions are established. The solutions provide a very
Recently proposed mechanism of the black hole condensation at conifold
singularity in type II string is an interesting idea from which we can
interpret the phase of the universal moduli space of the string vacua. It might
also be expected that the...
We discuss the Bogoliubov transformation of the scalar wave functions caused
by the change of coordinates in 4 dimensional de Sitter space. It is shown that
the exact Bogoliubov coefficients can be obtained from the global coordinates
to the stati...
We analyze the relation between a topological coset model based on super
coset and non-critical string theory by using free field
realization. We show that the twisted algebra of the coset model can be
naturally transformed in...
Progress of theoretical physics 88(1) 149-153 1992年7月
Applying the previously obtained partition functions for high order parastatistical boson systems, we calculate some thermodynamical quantities of the free parabose gas and the level density of harmonic oscillators relevant to parabosonic strings....
We study the interactions of the discrete states with nonzero ghost number in
two-dimensional () quantum gravity. By using the vertex operator
representations, it is shown that their interactions are given by the structure
constants of t...
Progress of theoretical physics 86(6) 1141-1148 1991年12月
We calculate the partition functions for the parabosonic systems of level N≦order p. The partition functions are compact, independent of p and equivalent to those of the systems of N(N-1)/2 bosonic pairs in addition to N ordinary bosons. We also p...