BOSONIC SUPERCONFORMAL ALGEBRAS FROM HAMILTONIAN REDUCTION

被引:16
作者
FUCHS, J
机构
[1] Theory Division, CERN
关键词
D O I
10.1016/0370-2693(91)91562-A
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Hamiltonian reduction of WZW theories involving constraints with half integer conformal weight is analyzed. The reduced system can be described in terms of an effective action that corresponds to a generalized Toda system. To obtain this action, the constraints must be imposed on an enlarged phase space that includes weight 1/2 bosons in addition to the WZW degrees of freedom. An example is worked out for which the chiral algebra consists of a bosonic version of the u(N) extended superconformal algebra. A Gauss decomposition of the WZW field leads to a hybrid free field realization of these algebras.
引用
收藏
页码:249 / 258
页数:10
相关论文
共 21 条
[11]  
Dynkin E., 1957, AM MATH SOC TRANSL 2, V6, P111, DOI [10.1090/trans2/006/02, DOI 10.1090/TRANS2/006/02]
[12]   ON THE HOMOLOGICAL CONSTRUCTION OF CASIMIR ALGEBRAS [J].
FIGUEROAOFARRILL, JM .
NUCLEAR PHYSICS B, 1990, 343 (02) :450-466
[13]  
KNIZHNIK VG, 1984, NUCL PHYS B, V247, P83, DOI 10.1016/0550-3213(84)90374-2
[14]   SUPERCONFORMAL ALGEBRAS IN 2 DIMENSIONS [J].
KNIZHNIK, VG .
THEORETICAL AND MATHEMATICAL PHYSICS, 1986, 66 (01) :68-72
[15]   REPRESENTATION OF THE SO(N) AND U(N) SUPERCONFORMAL ALGEBRAS VIA MIURA-TRANSFORMATIONS [J].
MATHIEU, P .
PHYSICS LETTERS B, 1989, 218 (02) :185-190
[17]   CONFORMALLY REDUCED WZNW THEORIES AND 2-DIMENSIONAL GRAVITY [J].
ORAIFEARTAIGH, L ;
WIPF, A .
PHYSICS LETTERS B, 1990, 251 (03) :361-368
[18]   GOLDSTONE FIELDS IN 2 DIMENSIONS WITH MULTIVALUED ACTIONS [J].
POLYAKOV, AM ;
WIEGMANN, PB .
PHYSICS LETTERS B, 1984, 141 (3-4) :223-228
[19]   GAUGE TRANSFORMATIONS AND DIFFEOMORPHISMS [J].
POLYAKOV, AM .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1990, 5 (05) :833-842
[20]  
ROMANS L, USC90HEP30 LOS ANG P