UNITARY AND HERMITIAN MATRICES IN AN EXTERNAL-FIELD .2. THE KONTSEVICH MODEL AND CONTINUUM VIRASORO CONSTRAINTS

被引：42

作者：

GROSS, DJ

NEWMAN, MJ

机构：

[1] Joseph Henry Laboratories, Department of Physics, Princeton University, Princeton

来源：

NUCLEAR PHYSICS B | 1992年 / 380卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(92)90520-L

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We give a simple derivation of the Virasoro constraints in the Kontsevich model, first derived by Witten. We generalize the method to a model of unitary matrices, for which we find a new set of Virasoro constraints. Finally we discuss the solution for symmetric matrices in an external field.

引用

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页码：168 / 180

页数：13

相关论文

共 30 条

[1] INTERSECTION THEORY ON THE MODULI SPACE OF CURVES [J].

KONTSEVICH, ML .

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1991, 25 (02) :123-129

[2] NATURAL TRIANGULATIONS ASSOCIATED TO A SURFACE [J].

BOWDITCH, BH ;

EPSTEIN, DBA .

TOPOLOGY, 1988, 27 (01) :91-117

[3] REDUCED UNITARY MATRIX MODELS AND THE HIERARCHY OF TAU-FUNCTIONS [J].

BOWICK, MJ ;

MOROZOV, A ;

SHEVITZ, D .

NUCLEAR PHYSICS B, 1991, 354 (2-3) :496-530

[4] MULTICRITICAL POINTS OF UNORIENTED RANDOM SURFACES [J].

BREZIN, E ;

NEUBERGER, H .

NUCLEAR PHYSICS B, 1991, 350 (03) :513-553

[5] THE EXTERNAL-FIELD PROBLEM IN THE LARGE N LIMIT OF QCD [J].

BREZIN, E ;

GROSS, DJ .

PHYSICS LETTERS B, 1980, 97 (01) :120-124

[6] LARGE-N SCALING LIMITS OF SYMMETRICAL-MATRIX MODELS AS SYSTEMS OF FLUCTUATING UNORIENTED SURFACES [J].

BREZIN, E ;

NEUBERGER, H .

PHYSICAL REVIEW LETTERS, 1990, 65 (17) :2098-2101

[7] OPEN SUPERSTRINGS A LA POLYAKOV [J].

BURGESS, CP ;

MORRIS, TR .

NUCLEAR PHYSICS B, 1987, 291 (02) :285-333

[8] MULTICRITICAL MULTI-CUT MATRIX MODELS [J].

CRNKOVIC, C ;

MOORE, G .

PHYSICS LETTERS B, 1991, 257 (3-4) :322-328

[9]

CRNKOVIC C, 1991, YCTPP2591RU9136 YAL

[10] LOOP EQUATIONS AND VIRASORO CONSTRAINTS IN NONPERTURBATIVE 2-DIMENSIONAL QUANTUM-GRAVITY [J].

DIJKGRAAF, R ;

VERLINDE, H ;

VERLINDE, E .

NUCLEAR PHYSICS B, 1991, 348 (03) :435-456