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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 1998 · hep-thShow all

9 papers · 2 filters

hep-th1998★ 6 cited

Picard-Fuchs Ordinary Differential Systems in N=2 Supersymmetric Yang-Mills Theories

Yuji Ohta

In general, Picard-Fuchs systems in N=2 supersymmetric Yang-Mills theories are realized as a set of simultaneous partial differential equations. However, if the QCD scale parameter…

hep-th1998★ 6 cited

Weyl Anomaly in Higher Dimensions and Feynman Rules in Coordinate Space

Shoichi Ichinose, Noriaki Ikeda

An algorithm to obtain the Weyl anomaly in higher dimensions is presented. It is based on the heat-kernel method. Feynman rules, such as the vertex rule and the propagator rule, ar…

hep-th1998★ 5 cited

Differential Equations for Scaling Relation in N=2 Supersymmetric SU(2) Yang-Mills Theory Coupled with Massive Hypermultiplet

Yuji Ohta

Differential equations for scaling relation of prepotential in N=2 supersymmetric SU(2) Yang-Mills theory coupled with massive matter hypermultiplet are proposed and are explicitly…

hep-th1998★ 7 cited

Construction of an Identically Nilpotent BRS Charge in the Kato-Ogawa String Theory

Mitsuo Abe, Noboru Nakanishi

In previous work, the conformal-gauge two-dimensional quantum gravity in the BRS formalism has been solved completely in terms of Wightman functions. In the present paper, this res…

hep-th1998★ 2 cited

How to Solve Quantum Nonlinear Abelian Gauge Theory in Two Dimension in the Heisenberg Picture

Noriaki Ikeda

The new method based on the operator formalism proposed by Abe and Nakanishi is applied to the quantum nonlinear abelian gauge theory in two dimension. The soluble models in this m…

hep-th1998★ 9 cited

Mixing of Ground States in Vertex Models

Jin Hong, Seok-Jin Kang, Tetsuji Miwa +1

We consider the analogue of the 6-vertex model constructed from alternating spin n/2 and spin m/2 lines, where . We identify the transfer matrix and the space on which i…

hep-th1998

Weak Field Expansion of Gravity: Graphs, Matrices and Topology

Shoichi Ichinose, Noriaki Ikeda

We present some approaches to the perturbative analysis of the classical and quantum gravity. First we introduce a graphical representation for a global SO(n) tensor $(\pl)^d h_\ab…

hep-th1998★ 7 cited

D=26 and Exact Solution to the Conformal-Gauge Two-Dimensional Quantum Gravity

Mitsuo Abe, Noboru Nakanishi

The conformal-gauge two-dimensional quantum gravity is formulated in the framework of the BRS quantization and solved completely in the Heisenberg picture: All n-point Wightman fun…

hep-th1998★ 15 cited

Picard-Fuchs Equation and Prepotential of Five Dimensional SUSY Gauge Theory Compactified on a Circle

Hiroaki Kanno, Yuji Ohta

Five dimensional supersymmetric gauge theory compactified on a circle defines an effective N=2 supersymmetric theory for massless fields in four dimensions. Based on the relativist…