Singular vectors in logarithmic conformal field theories
نویسندگان
چکیده
منابع مشابه
Logarithmic Conformal Field Theories
We analyse the SU(2) k WZNW models beyond the integrable representations and in particular the case of SU(2) 0. We find that these are good examples of logarithmic conformal field theories as indecomposable representations are naturally produced in the fusion of discrete irreducible representations. We also find extra, chiral and non-chiral, multiplet structure in the theory. The chiral fields,...
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We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two– and three– point functions. This calculation is done for the general case of more than one logarithmic field in a block, and more than one set of logarithmic fields. Then we show that one can regard the logarithmic field as a formal derivative of the ord...
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The representation theory of the Virasoro algebra in the case of a logarithmic conformal field theory is considered. Here, indecomposable representations have to be taken into account, which has many interesting consequences. We study the generalization of null vectors towards the case of indecomposable representation modules and, in particular, how such logarithmic null vectors can be used to ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1998
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(97)00012-6