MULTIMATRIX MODELS INDUCED BY GROUP EXTENSIONS

被引：2

作者：

FILK, T

机构：

[1] Fak. fur Phys., Freiburg Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 07期

关键词：

D O I：

10.1088/0305-4470/26/7/020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Multimatrix models for which the index set has a group structure and the interaction obeys a 'zero curvature' condition can be deformed related to central extensions of this group. The deformed multimatrix models lead to statistical systems defined on random graphs with a topological action. It is shown, how these topological theories on graphs can be used to weight graphs according to topological conditions.

引用

收藏

页码：1635 / 1647

页数：13

相关论文

共 17 条

[1] 3-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY AND GENERALIZED MATRIX MODELS [J].

AMBJORN, J ;

DURHUUS, B ;

JONSSON, T .

MODERN PHYSICS LETTERS A, 1991, 6 (12) :1133-1146

[2]

BAXTER RJ, 1982, EXACTLY SOLVED MODEL, P202

[3] ANALYTICAL AND NUMERICAL STUDY OF A MODEL OF DYNAMICALLY TRIANGULATED RANDOM SURFACES [J].

BOULATOV, DV ;

KAZAKOV, VA ;

KOSTOV, IK ;

MIGDAL, AA .

NUCLEAR PHYSICS B, 1986, 275 (04) :641-686

[4] PLANAR DIAGRAMS [J].

BREZIN, E ;

ITZYKSON, C ;

PARISI, G ;

ZUBER, JB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51

[5] PLANAR DIAGRAMS, TWO-DIMENSIONAL LATTICE GRAVITY AND SURFACE MODELS [J].

DAVID, F .

NUCLEAR PHYSICS B, 1985, 257 (01) :45-58

[6] TOPOLOGICAL GAUGE-THEORIES AND GROUP COHOMOLOGY [J].

DIJKGRAAF, R ;

WITTEN, E .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 129 (02) :393-429

[7] STRINGS IN LESS THAN ONE DIMENSION AND THE GENERALIZED KDV HIERARCHIES [J].

DOUGLAS, MR .

PHYSICS LETTERS B, 1990, 238 (2-4) :176-180

[8] STRINGS IN LESS THAN ONE DIMENSION [J].

DOUGLAS, MR ;

SHENKER, SH .

NUCLEAR PHYSICS B, 1990, 335 (03) :635-654

[9]

EGUCHI T, 1983, PHYS LETT B, V122, P59, DOI 10.1016/0370-2693(83)91168-1

[10] GENERALIZED TWISTED EGUCHI-KAWAI MODELS [J].

FABRICIUS, K ;

HAAN, O ;

FILK, T .

PHYSICS LETTERS B, 1984, 144 (3-4) :240-244