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Logarithmic conformal field theories via logarithmic deformations

机译:通过对数变形的对数共形场理论

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We construct logarithmic conformal field theories starting from an ordinary conformal field theory-with a chiral algebra C and the corresponding space of states V-via a two-step construction: (i) deforming the chiral algebra representation on V circle times End K [[z, z(-1)]], where K is an auxiliary finite-dimensional vector space, and (ii) extending C by operators corresponding to the endomorphisms End K. For K = C-2, with End K being the two-dimensional Clifford algebra, our construction results in extending C by an operator that can be thought of as partial derivative(-1) E, where closed integral E is a fermionic screening. This covers the (2, p) Virasoro minimal models as well as the (sl) over cap (2) WZW theory. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 46]
机译:我们从普通的共形场理论出发,通过两步构造构造手性代数C和对应的状态空间V的对数共形场理论:(i)使V圈上的手性代数表示乘以End K [[ z,z(-1)]],其中K是辅助有限维向量空间,并且(ii)通过对应于内同形End K的算子扩展C。对于K = C-2,其中End K是两个-在Clifford代数的维数上,我们的构造导致算子的C扩展,该算子可以看作是偏导数(-1)E,其中封闭积分E是费米子筛选。这涵盖了(2,p)Virasoro最小模型以及(s)上限(2)WZW理论。 (C)2002 Elsevier Science B.V.保留所有权利。 [参考:46]

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