TY - JOUR
T1 - A Monomial Basis for the Virasoro Minimal Series M (p, p′)
T2 - The Case 1 < p′/p < 2
AU - Feigin, B.
AU - Jimbo, M.
AU - Miwa, T.
AU - Mukhin, E.
AU - Takeyama, Y.
PY - 2005/7
Y1 - 2005/7
N2 - Quadratic relations are given explicitly in two cases of chiral conformal field theory, and monomial bases of the representation spaces are constructed by using the Fourier components of the intertwiners. The first case is the (2,1) primary fields for the (p, p′)-minimal series Mr,s (1 ≤ r ≤ p - 1, 1 ≤ s ≤ p′ - 1) for the Virasoro algebra where 1 < p′/p < 2. We restrict ourselves to the case p ≥ 3, for which the (2,1) primary field exists. The second case is the intertwiners corresponding to the two-dimensional representation for the level k integrable highest weight modules V(λ) (0 ≤ λ ≤ k) for the affine Lie algebra S-fraktur sign l2.
AB - Quadratic relations are given explicitly in two cases of chiral conformal field theory, and monomial bases of the representation spaces are constructed by using the Fourier components of the intertwiners. The first case is the (2,1) primary fields for the (p, p′)-minimal series Mr,s (1 ≤ r ≤ p - 1, 1 ≤ s ≤ p′ - 1) for the Virasoro algebra where 1 < p′/p < 2. We restrict ourselves to the case p ≥ 3, for which the (2,1) primary field exists. The second case is the intertwiners corresponding to the two-dimensional representation for the level k integrable highest weight modules V(λ) (0 ≤ λ ≤ k) for the affine Lie algebra S-fraktur sign l2.
UR - http://www.scopus.com/inward/record.url?scp=18844424342&partnerID=8YFLogxK
U2 - 10.1007/s00220-005-1326-5
DO - 10.1007/s00220-005-1326-5
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AN - SCOPUS:18844424342
SN - 0010-3616
VL - 257
SP - 395
EP - 423
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -