Twodimensional Quantum Gravity and String Field Theory
Project/Area Number  07640364 
Research Category 
GrantinAid for Scientific Research (C)

Section  一般 
Research Field 
素粒子・核・宇宙線

Research Institution  HOKKAIDO UNIVERSITY 
Principal Investigator 
NAKAYAMA Ryuichi Hokkaido University, Graduate School of Science Associate Professor, 大学院・理学研究科, 助教授 (30217947)

Project Fiscal Year 
1995 – 1996

Project Status 
Completed(Fiscal Year 1996)

Budget Amount *help 
¥1,000,000 (Direct Cost : ¥1,000,000)
Fiscal Year 1996 : ¥400,000 (Direct Cost : ¥400,000)
Fiscal Year 1995 : ¥600,000 (Direct Cost : ¥600,000)

Keywords  twodimensional gravity / string field theory / SchwingerDyson equation / matrix models / fractal / 2次元重力 / 弦理論 / 行列模型 / SchwingerDyson方程式 / フラクタル / 弦場の理論 
Research Abstract 
String field theories for the c=1/2 noncritical string, i.e., the model of Ising spins coupled to 2d gravity, were constructed by using the nonperturbative formulation of the c<less than or equal>1 noncritical strings based on the dynamical triangulation of 2d surfaces. As allowed states of Ising spins on the string the following configurations were considered separ (1) Ising spins are all up except for an arbitrary number of local spin flips. (2) Ising spins are either all up or all down. Furthermore a disk amplitude in 2d gravity was also computed in the continuum Liouville theory by using the method of the semiclassical expansion. The boundary condition for the Liouville field was determined. An extension of the result to the 2d supergravity will be straightforward and this will open the way to construction of a string field theory for the noncritical superstrings.

Report
(4results)
Research Output
(11results)