منابع مشابه
Parafermionic Character Formulae
We study various aspects of parafermionic theories such as the precise field content, a description of a basis of states (that is, the counting of independent states in a freely generated highest-weight module) and the explicit expression of the parafermionic singular vectors in completely irreducible modules. This analysis culminates in the presentation of new character formulae for the Z N pa...
متن کاملGlobal Character Formulae for Compact Lie Groups
We introduce the concept of a modulator, which leads to a family of character formulae, each generalizing the Kirillov formula. For a suitable choice of modulator, this enables one to understand the Plancherel measure of a compact Lie group as arising from a partition of the identity on the dual of its Lie algebra.
متن کاملCharacter and Dimension Formulae for General Linear Superalgebra
The generalized Kazhdan-Lusztig polynomials for the finite dimensional irreducible representations of the general linear superalgebra are computed explicitly. Using the result we establish a one to one correspondence between the set of composition factors of an arbitrary r-fold atypical gl m|n-Kac-module and the set of composition factors of some r-fold atypical gl r|r-Kac-module. The result of...
متن کاملCHARACTER FORMULAE FOR ORTHO-SYMPLECTIC LIE SUPERALGEBRAS osp(n|2)
The character formula of any finite dimensional irreducible module Lλ for Lie superalgebra osp(n|2) is computed. As a by-product, the decomposition of tensor module Lλ ⊗ C n|2, where Cn|2 is the natural representation, is obtained.
متن کاملHeterotic parafermionic superstring.
Superstrings have been postulated based on parafermionic partition functions which permit spacetime supersymmetry by generalized Jacobi identities. A comprehensive search finds new such identities. Quadrilateral anomaly cancellation gives constraints on allowed chiral fermions. Bosonic left-movers and Z4 parafermionic right-movers combine in a new heterotic superstring, more constrained than th...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2000
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(00)00454-5