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BIBTEX RIS

Determinant formulae of quasi-finite representation of W1+∞ algebra at lower levels

1994; Elsevier BV; Volume: 332; Issue: 3-4 Linguagem: Inglês

10.1016/0370-2693(94)91262-9

ISSN

1873-2445

Autores

Hidetoshi Awata, Masafumi Fukuma, Yutaka Matsuo, Satoru Odake,

Tópico(s)

Advanced Operator Algebra Research

Resumo

We calculate the Kac determinant for the quasi-finite representation of \Winf algebra up to level 8. It vanishes only when the central charge is integer. We give an algebraic construction of null states and propose the character formulae. The character of the Verma module is related to free fields in three dimensions which has rather exotic modular properties.

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