ON THE HOMOLOGICAL CONSTRUCTION OF CASIMIR ALGEBRAS

被引：34

作者：

FIGUEROAOFARRILL, JM

机构：

[1] Instituut voor Theoretische Fysica, Universiteit Leuven, B-3030 Leuven

来源：

NUCLEAR PHYSICS B | 1990年 / 343卷 / 02期

关键词：

D O I：

10.1016/0550-3213(90)90478-V

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 propose a BRST (homological) construction of the Casimir extended conformal algebras by quantizing a classical observation of Drinfeld and Sokolov. We give the explicit expression for the Virasoro generators and compute the discrete series of the Casimir algebras. The unitary subseries agrees with that of the coset construction for the case of simply laced algebras. With the help of a free-field realization of the affine algebra, we compute the BRST cohomology of this system with coefficients in a Fock module. This allows us to generalize and prove a conjecture of Bershadsky and Ooguri. © 1990.

引用

页码：450 / 466

页数：17

共 22 条

[1]

APIKYAN SA, 1987, MOD PHYS LETT A, V2, P317

[2] EXTENSIONS OF THE VIRASORO ALGEBRA CONSTRUCTED FROM KAC-MOODY ALGEBRAS USING HIGHER-ORDER CASIMIR INVARIANTS [J].