Factorized Combinations of Virasoro Characters
نویسندگان
چکیده
منابع مشابه
Andrews-gordon Type Identities from Combinations of Virasoro Characters
Abstract. For p ∈ {3, 4} and all p > p, with p coprime to p, we obtain fermionic expressions for the combination χ ′ 1,s + q χ p,p p−1,s of Virasoro (W2) characters for various values of s, and particular choices of ∆. Equating these expressions with known product expressions, we obtain q-series identities which are akin to the Andrews-Gordon identities. For p = 3, these identities were conject...
متن کاملAndrews-gordon Identities from Combinations of Virasoro Characters
For p ∈ {3, 4} and p > p with p coprime to p, we obtain both fermionic (sum) and product forms for the combination χp,p ′ 1,s + q∆χp,p ′ p−1,s of Virasoro characters for various s, and particular ∆. By equating these two forms, we obtain an identity of Rogers-Ramanujan-type in each case. In the p = 3 case, these identities were conjectured by Bytsko. Their fermionic sides are notable in that ea...
متن کاملFactorization of alternating sums of Virasoro characters
G. Andrews proved that if n is a prime number then the coefficients ak and ak+n of the product (q, q)∞/(q , qn)∞ = ∑ k akq k have the same sign, see [A1]. We generalize this result in several directions. Our results are based on the observation that many products can be written as alternating sums of characters of Virasoro modules.
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...
متن کاملSignature Characters for the Virasoro Algebra
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2000
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050019