THE LOGARITHM OF THE DERIVATIVE OPERATOR AND HIGHER SPIN ALGEBRAS OF W-INFINITY TYPE

被引：36

作者：

BAKAS, I

KHESIN, B

KIRITSIS, E

机构：

[1] UNIV MARYLAND,CTR THEORET PHYS,COLL PK,MD 20742

[2] UNIV MARYLAND,DEPT PHYS & ASTRON,COLL PK,MD 20742

[3] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

[4] LAWRENCE BERKELEY LAB,DEPT PHYS,BERKELEY,CA 94720

[5] LAWRENCE BERKELEY LAB,THEORET PHYS GRP,BERKELEY,CA 94720

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 151卷 / 02期

关键词：

D O I：

10.1007/BF02096767

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use the notion of the logarithm of the derivative operator to describe W(infinity) type algebras as central extensions of the algebra of differential operators. We also provide closed formulae for the truncations of W1 + infinity to higher spin algebras with s greater-than-or-equal-to M, for all M greater-than-or-equal-to 2. The results are extended to matrix valued differential operators, introducing a logarithmic generalization of the Maurer-Cartan cocycle.

引用

页码：233 / 243

页数：11

共 33 条

[1] UNIVERSAL W-ALGEBRAS IN QUANTUM-FIELD THEORY [J].