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most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 1998Show all

16 papers · 1 filter

math.RT1998★ 5 cited

Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III --Positive rational case--

M. Kashiwara, T. Tanisaki

In this paper we prove the Kazhdan-Lusztig type character formula for irreducible highest weight modules with positive rational highest weights over symmetrizable Kac-Moody Lie alg…

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…

math.QA1998

Rogawski's conjecture on the Jantzen filtration for the degenerate affine Hecke algebra of type A

Takeshi Suzuki

The functors constructed by Arakawa and the author relate the representation theory of gl_n and that of the degenerate affine Hecke algebra H_l of GL_l. They transform the Verma mo…

math.QA1998★ 1 cited

On the Fay identity for KdV tau functions and the identity for the Wronskian of squared solutions of Sturm-Liouville equation

Yordan P. Mishev

We show that the well known identity for the Wronskian of squared solutions of a Sturm-Liouville equation follows from the Fay identity. We also study some odd-order (()-or…

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…

math.QA1998★ 23 cited

A generalization of the Kostka-Foulkes polynomials

Anatol N. Kirillov, Mark Shimozono

Combinatorial objects called rigged configurations give rise to q-analogues of certain Littlewood-Richardson coefficients. The Kostka-Foulkes polynomials and two-column Macdonald-K…

math.QA1998★ 1 cited

On generalized Abelian deformations

Giuseppe Dito

We study sun-products on , i.e. generalized Abelian deformations associated with star-products for general Poisson structures on . We show that their cochains are given…

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…

math.QA1998★ 1 cited

Level One Representations of Quantum Affine Algebras

Naihuan Jing, Yoshitaka Koyama, Kailash Misra

We give explicit constructions of quantum symplectic affine algebras at level 1 using vertex operators.

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…

math.AG1998★ 21 cited

K. Saito's Duality for Regular Weight Systems and Duality for Orbifoldized Poincare Polynomials

Atsushi Takahashi

We will show that the duality for regular weight systems introduced by K. Saito can be interpreted as the duality for orbifoldized Poincare polynomials.

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…