منابع مشابه
Half-lattice Paths and Virasoro Characters
We first briefly review the role of lattice paths in the derivation of fermionic expressions for the M(p, p) minimal model characters of the Virasoro Lie algebra. We then focus on the recently introduced half-lattice paths for the M(p, 2p± 1) characters, reformulating them in such a way that the two cases may be treated uniformly. That the generating functions of these half-lattice paths are in...
متن کاملNew identities between unitary minimal Virasoro characters
Two sets of identities between unitary minimal Virasoro characters at levels m = 3, 4, 5 are presented and proven. The first identity suggests a connection between the Ising and the tricritical Ising models since the m = 3 Virasoro characters are obtained as bilinears of m = 4 Virasoro characters. The second identity gives the tricritical Ising model characters as bilinears in the Ising model c...
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The number of ghost states at each energy level in a non-unitary con-formal field theory is encoded in the signature characters of the relevant Virasoro algebra highest weight representations. We give expressions for these signature characters. These results complete Friedan-Qiu-Shenker's analysis of the Virasoro algebra's highest weight representations.
متن کاملFermionic Expressions for Minimal Model Virasoro Characters
Fermionic expressions for all minimal model Virasoro characters χ ′ r,s are stated and proved. Each such expression is a sum of terms of fundamental fermionic form type. In most cases, all these terms are written down using certain trees which are constructed for s and r from the Takahashi lengths and truncated Takahashi lengths associated with the continued fraction of p/p. In the remaining ca...
متن کاملScaling functions from q-deformed Virasoro characters
We propose a renormalization group scaling function which is constructed from q-deformed fermionic versions of Virasoro characters. By comparison with alternative methods, which take their starting point in the massive theories, we demonstrate that these new functions contain qualitatively the same information. We show that these functions allow for RG-flows not only amongst members of a partic...
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ژورنال
عنوان ژورنال: Fundamenta Informaticae
سال: 2012
ISSN: 0169-2968
DOI: 10.3233/fi-2012-688