TY - JOUR
T1 - Logarithmic extensions of minimal models
T2 - Characters and modular transformations
AU - Feigin, B. L.
AU - Gainutdinov, A. M.
AU - Semikhatov, A. M.
AU - Tipunin, I. Yu
PY - 2006/11/27
Y1 - 2006/11/27
N2 - We study logarithmic conformal field models that extend the (p, q) Virasoro minimal models. For coprime positive integers p and q, the model is defined as the kernel of the two minimal-model screening operators. We identify the field content, construct the W-algebra Wp, q that is the model symmetry (the maximal local algebra in the kernel), describe its irreducible modules, and find their characters. We then derive the SL (2, Z)-representation on the space of torus amplitudes and study its properties. From the action of the screenings, we also identify the quantum group that is Kazhdan-Lusztig-dual to the logarithmic model.
AB - We study logarithmic conformal field models that extend the (p, q) Virasoro minimal models. For coprime positive integers p and q, the model is defined as the kernel of the two minimal-model screening operators. We identify the field content, construct the W-algebra Wp, q that is the model symmetry (the maximal local algebra in the kernel), describe its irreducible modules, and find their characters. We then derive the SL (2, Z)-representation on the space of torus amplitudes and study its properties. From the action of the screenings, we also identify the quantum group that is Kazhdan-Lusztig-dual to the logarithmic model.
UR - http://www.scopus.com/inward/record.url?scp=33750704011&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2006.09.019
DO - 10.1016/j.nuclphysb.2006.09.019
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AN - SCOPUS:33750704011
SN - 0550-3213
VL - 757
SP - 303
EP - 343
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 3
ER -