arXiv subjects

Shun-ichi Yamaguchi

Publications and source records attributed to Shun-ichi Yamaguchi.

7 recordsLinked to original sources

arXiv2004

Minimal String Theory is Logarithmic

We study the simplest examples of minimal string theory whose worldsheet description is the unitary (p,q) minimal model coupled to two-dimensional gravity (Liouville field theory). In the Liouville sector, we show that four-point correlation functions of `tachyons' exhibit logarithmic singularities, and that the theory turns out to be logarithmic. The relation with Zamolodchikov's logarithmic degenerate fields is also discussed. Our result holds for generic values of (p,q).

hep-th↗

arXiv2002

Logarithmic Correlation Functions in Liouville Field Theory

We study four-point correlation functions with logarithmic behaviour in Liouville field theory on a sphere, which consist of one kind of the local operators. We study them as non-integrated correlation functions of the gravitational sector of two-dimensional quantum gravity coupled to an ordinary conformal field theory in the conformal gauge. We also examine, in the (p,q) minimal conformal field theories, a condition of the appearance of logarithmic correlation functions of gravitationally dressed operators.

hep-th↗

arXiv2000

Logarithmic Behaviours in the Feigin-Fuchs Construction of the c=-2 Conformal Field Theory

We obtain logarithmic behaviours of a four-point correlation function in the c=-2 conformal field theory by using the Feigin-Fuchs construction. It becomes an indeterminate form by a naive evaluation, but is obtained by introducing an appropriate regularization procedure.

hep-th↗

arXiv1997

The Critical Ising Model on a Möbius Strip

We study the two-dimensional critical Ising model on a Möbius strip based on a duality relation between conformally invariant boundary conditions. By using a Majorana fermion field theory, we obtain explicit representations of crosscap states corresponding to the boundary states. We also discuss the duality structure of the partition functions.

cond-mat.stat-mech↗

arXiv1992

Correlation Functions of (2k-1, 2) Minimal Matter Coupled to 2D Quantum Gravity

We compute N-point correlation functions of non-unitary (2k-1, 2) minimal matter coupled to 2D quantum gravity on a sphere using the continuum Liouville field approach. A gravitational dressing of the matter primary field with the minimum conformal weight is used as the cosmological operator. Our results are in agreement with the correlation functions of the one-matrix model at the k-th critical point.

hep-th↗

arXiv1992

Disk Amplitudes in Two-Dimensional Open String Theories

Disk amplitudes of tachyons in two-dimensional open string theories (two-dimensional quantum gravity coupled to $c \leq 1$ conformal field theories) are obtained using the continuum Liouville field approach. The structure of momentum singularities is different from that of sphere amplitudes and is more complicated. It can be understood by factorizations of the amplitudes with the tachyon and the discrete states as intermediate states.

hep-th↗

arXiv1991

Two-Dimensional Quantum Gravity on a Disk

We study a two-dimensional conformal field theory coupled to quantum gravity on a disk. Using the continuum Liouville field approach, we compute three-point correlation functions of boundary operators. The structure of momentum singularities is different from that of correlation functions on a sphere and is more complicated. We also compute four-point functions of boundary operators and three-point functions of two boundary operators and one bulk operator.

hep-th↗