Integrable symplectic trilinear interaction terms for matrix membranes

被引:42
作者
Curtright, T
Fairlie, D
Zachos, C
机构
[1] CERN,DIV THEORY,CH-1211 GENEVA 23,SWITZERLAND
[2] ARGONNE NATL LAB,DIV HIGH ENERGY PHYS,ARGONNE,IL 60439
关键词
D O I
10.1016/S0370-2693(97)00551-0
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Cubic interactions are considered in 3 and 7 space dimensions, respectively, for bosonic membranes in Poisson Bracket form. Their symmetries and vacuum configurations are discussed. Their associated first order equations are transformed to Nahm's equations, and are hence seen to be integrable, for the 3-dimensional case, by virtue of the explicit Lax pair provided. The constructions introduced also apply to commutator or Moyal Bracket analogues. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:37 / 44
页数:8
相关论文
共 41 条
[1]   M theory as a matrix model: A conjecture [J].
Banks, T ;
Fischler, W ;
Shenker, SH ;
Susskind, L .
PHYSICAL REVIEW D, 1997, 55 (08) :5112-5128
[2]   SUPER P-BRANES AS GAUGE-THEORIES OF VOLUME PRESERVING DIFFEOMORPHISMS [J].
BERGSHOEFF, E ;
SEZGIN, E ;
TANII, Y ;
TOWNSEND, PK .
ANNALS OF PHYSICS, 1990, 199 (02) :340-365
[3]   THE SELF-DUAL CLOSED BOSONIC MEMBRANES [J].
BIRAN, B ;
FLORATOS, EGF ;
SAVVIDY, GK .
PHYSICS LETTERS B, 1987, 198 (03) :329-332
[4]   CLASSICAL AND QUANTUM-MECHANICS OF FREE RELATIVISTIC MEMBRANES [J].
COLLINS, PA ;
TUCKER, RW .
NUCLEAR PHYSICS B, 1976, 112 (01) :150-176
[5]   1ST-ORDER EQUATIONS FOR GAUGE-FIELDS IN SPACES OF DIMENSION GREATER THAN 4 [J].
CORRIGAN, E ;
DEVCHAND, C ;
FAIRLIE, DB ;
NUYTS, J .
NUCLEAR PHYSICS B, 1983, 214 (03) :452-464
[6]  
CURTRIGHT T, THESIS U FLORIDA
[7]  
CUTRIGHT T, 1995, PASCOS 94, P381
[8]  
CUTRIGHT T, 1994, PHYS REV D, V49, P5408
[9]   ON THE QUANTUM-MECHANICS OF SUPERMEMBRANES [J].
DEWIT, B ;
HOPPE, J ;
NICOLAI, H .
NUCLEAR PHYSICS B, 1988, 305 (04) :545-581
[10]  
DUNDARER R, 1984, J MATH PHYS, V25, P1496, DOI 10.1063/1.526321