A NEW EXPLICIT CONSTRUCTION OF W3 FROM THE AFFINE ALGEBRA A2(1)

被引:6
作者
DIAZ, AH
FIGUEROAOFARRILL, JM
机构
[1] Instituut voor Theoretische Fysica, Universiteit Leuven, B-3030 Leuven
关键词
D O I
10.1016/0550-3213(91)90196-5
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 provide an explicit construction of the W3 extended conformal algebra starting from the affine algebra A2(1). Starting with the current algebra of A2(1) we prove, by explicit construction, that the cohomology of a BRST operator associated to a set of first-class constraints admits a representation of W3. We prove this at the level of operator algebras with the help of a free field representation for A2(1).
引用
收藏
页码:237 / 252
页数:16
相关论文
共 20 条
[1]   EXTENSIONS OF THE VIRASORO ALGEBRA CONSTRUCTED FROM KAC-MOODY ALGEBRAS USING HIGHER-ORDER CASIMIR INVARIANTS [J].
BAIS, FA ;
BOUWKNEGT, P ;
SURRIDGE, M ;
SCHOUTENS, K .
NUCLEAR PHYSICS B, 1988, 304 (02) :348-370
[2]   COSET CONSTRUCTION FOR EXTENDED VIRASORO ALGEBRAS [J].
BAIS, FA ;
BOUWKNEGT, P ;
SURRIDGE, M ;
SCHOUTENS, K .
NUCLEAR PHYSICS B, 1988, 304 (02) :371-391
[3]  
BERNARD D, SACLAYSPHT89113 PREP
[4]   HIDDEN SL(N) SYMMETRY IN CONFORMAL FIELD-THEORIES [J].
BERSHADSKY, M ;
OOGURI, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 126 (01) :49-83
[5]   EXTENDED CONFORMAL ALGEBRAS [J].
BOUWKNEGT, P .
PHYSICS LETTERS B, 1988, 207 (03) :295-299
[6]  
BOUWKNEGT P, 1988, UNPUB JUL P M INF DI
[7]  
DIAZ A, UNPUB
[8]   CRITICAL-BEHAVIOR AND ASSOCIATED CONFORMAL ALGEBRA OF THE Z3 POTTS-MODEL [J].
DOTSENKO, VS .
NUCLEAR PHYSICS B, 1984, 235 (01) :54-74
[9]  
Drinfeld V.G., 1984, J SOVIET MATH, V30, P1975
[10]   CONFORMAL QUANTUM-FIELD THEORY MODELS IN 2 DIMENSIONS HAVING Z3 SYMMETRY [J].
FATEEV, VA ;
ZAMOLODCHIKOV, AB .
NUCLEAR PHYSICS B, 1987, 280 (04) :644-660