HIDDEN YANGIANS IN 2D MASSIVE CURRENT-ALGEBRAS

被引:115
作者
BERNARD, D
机构
[1] Service de Physique Théorique de Saclay, Gif-sur-Yvette
关键词
D O I
10.1007/BF02099123
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We define non-local conserved currents in massive current algebras in two dimensions. Our approach is algebraic and non-perturbative. The non-local currents give a quantum field realization of the Yangians. We show how the non-cocommutativity of the Yangians is related to the non-locality of the currents. We discuss the implications of the existence of non-local conserved charges on the S-matrices.
引用
收藏
页码:191 / 208
页数:18
相关论文
共 26 条
[1]   FRACTIONAL SUPERSYMMETRIES IN PERTURBED COSET CFTS AND INTEGRABLE SOLITON THEORY [J].
AHN, C ;
BERNARD, D ;
LECLAIR, A .
NUCLEAR PHYSICS B, 1990, 346 (2-3) :409-439
[2]   INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY [J].
BELAVIN, AA ;
POLYAKOV, AM ;
ZAMOLODCHIKOV, AB .
NUCLEAR PHYSICS B, 1984, 241 (02) :333-380
[3]   THE FRACTIONAL SUPERSYMMETRIC SINE-GORDON MODELS [J].
BERNARD, D ;
LECLAIR, A .
PHYSICS LETTERS B, 1990, 247 (2-3) :309-316
[4]   Q-DEFORMATION OF SU(1, 1) CONFORMAL WARD IDENTITIES AND Q-STRINGS [J].
BERNARD, D ;
LECLAIR, A .
PHYSICS LETTERS B, 1989, 227 (3-4) :417-423
[5]   RESIDUAL QUANTUM SYMMETRIES OF THE RESTRICTED SINE-GORDON THEORIES [J].
BERNARD, D ;
LECLAIR, A .
NUCLEAR PHYSICS B, 1990, 340 (2-3) :721-751
[6]   REMARKS ABOUT THE EXISTENCE OF NONLOCAL CHARGES IN 2-DIMENSIONAL MODELS [J].
BREZIN, E ;
ITZYKSON, C ;
ZINNJUSTIN, J ;
ZUBER, JB .
PHYSICS LETTERS B, 1979, 82 (3-4) :442-444
[7]   ALL POSSIBLE SYMMETRIES OF S MATRIX [J].
COLEMAN, S ;
MANDULA, J .
PHYSICAL REVIEW, 1967, 159 (05) :1251-&
[8]   CLASSICAL AND QUANTUM ALGEBRAS OF NON-LOCAL CHARGES IN SIGMA-MODELS [J].
DEVEGA, HJ ;
EICHENHERR, H ;
MAILLET, JM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 92 (04) :507-524
[9]   YANG-BAXTER ALGEBRAS OF MONODROMY MATRICES IN INTEGRABLE QUANTUM-FIELD THEORIES [J].
DEVEGA, HJ ;
EICHENHERR, H ;
MAILLET, JM .
NUCLEAR PHYSICS B, 1984, 240 (03) :377-399
[10]  
DRINFELD VG, 1985, DOKL AKAD NAUK SSSR, V32, P254