We argue that at the pie-confinement level the fundamental dynamical principle underlying the string field theory must be the gauge invariance of the Virasoro-Kac-Moody symmetry associated with P × G, where P is the Poincare group and G is the grand unification group, which exists among the string excitation modes. In an attempt to construct a field theory of string we present a prototype gauge theory of the Virasoro-Kac-Moody group. The theory allows a straightforward supersymmetric generalization.
Two dimensional quantum R^2-gravity is examined in the semiclassical approach and compared with results of the numerical simulation. Classical solutions of R^2-Liouville equation are obtained on the analogy of ordinary Liouville equation. The partition function is obtained analytically. It is shown that the classical solution alone can account for the cross-over transition of surface property seen in the numerical simulation.
Chung,Pukuma,Shapereにより定義された3次元のtopological field theoryで,Hopf代数として特に可換有限群GのQuantum doubleの変形D^ω(G)をとった場合を調べる.群G=Z_<2N+1>の場合,分配関数は,Dijkgraaf-Witten理論の分配関数と,Z^<CFS>=|Z^<DW>|^2という関係にあることが示唆される.群G=Z_<2N>に対してはそのような関係はない.