A DISCRETE INTEGRABLE HIERARCHY RELATED TO THE SUPERSYMMETRIC EIGENVALUE MODEL

被引:3
作者
MCARTHUR, IN
机构
[1] Dept. of Phys., Western Australia Univ., Nedlands, WA
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 12期
关键词
D O I
10.1088/0305-4470/27/12/022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The supersymmetric eigenvalue model has been proposed as the analogue for two-dimensional supergravity of the matrix model. The double-scaling limit exhibits an integrable fermionic hierarchy which is related to the Korteweg-de Vries hierarchy, In this paper, a discrete analogue of this integrable structure, related to the Toda lattice, is found in the supersymmetric eigenvalue model.
引用
收藏
页码:4161 / 4177
页数:17
相关论文
共 36 条
[1]   A MATRIX INTEGRAL SOLUTION TO 2-DIMENSIONAL W(P)-GRAVITY [J].
ADLER, M ;
VANMOERBEKE, P .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 147 (01) :25-56
[2]   SUPERLOOP EQUATIONS AND 2-DIMENSIONAL SUPERGRAVITY [J].
ALVAREZGAUME, L ;
ITOYAMA, H ;
MANES, JL ;
ZADRA, A .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (21) :5337-5367
[3]   INTEGRABILITY IN RANDOM MATRIX MODELS [J].
ALVAREZGAUME, L ;
GOMEZ, C ;
LACKI, J .
PHYSICS LETTERS B, 1991, 253 (1-2) :56-62
[4]   DOUBLE SCALING LIMIT OF THE SUPER-VIRASORO CONSTRAINTS [J].
ALVAREZGAUME, L ;
BECKER, K ;
BECKER, M ;
EMPARAN, R ;
MANES, J .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (13) :2297-2331
[5]  
ALVAREZGAUME L, 1991, HELV PHYS ACTA, V64, P359
[6]   FEYNMAN-RULES FOR REDUCIBLE GAUGE-THEORIES [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICS LETTERS B, 1983, 120 (1-3) :166-170
[7]   EXISTENCE THEOREM FOR GAUGE ALGEBRA [J].
BATALIN, IA ;
VILKOVISKY, GA .
JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (01) :172-184
[8]   QUANTIZATION OF GAUGE-THEORIES WITH LINEARLY DEPENDENT GENERATORS [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICAL REVIEW D, 1983, 28 (10) :2567-2582
[9]   GAUGE ALGEBRA AND QUANTIZATION [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICS LETTERS B, 1981, 102 (01) :27-31
[10]   NONPERTURBATIVE SOLUTION OF THE SUPER-VIRASORO CONSTRAINTS [J].
BECKER, K ;
BECKER, M .
MODERN PHYSICS LETTERS A, 1993, 8 (13) :1205-1214