Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine Jordan cells, logarithmic correlators, and hamiltonian reduction   We study a particular type of logarithmic extension of SL(2,R)
Wess-Zumino-Witten models. It is based on the introduction of affine Jordan
cells constructed as multiplets of quasi-primary fields organized in
indecomposable representations of the Lie algebra sl(2). We solve the
simultaneously imposed set of conformal and SL(2,R) Ward identities for two-
and three-point chiral blocks. These correlators will in general involve
logarithmic terms and may be represented compactly by considering spins with
nilpotent parts. The chiral blocks are found to exhibit hierarchical structures
revealed by computing derivatives with respect to the spins. We modify the
Knizhnik-Zamolodchikov equations to cover affine Jordan cells and show that our
chiral blocks satisfy these equations. It is also demonstrated that a simple
and well-established prescription for hamiltonian reduction at the level of
ordinary correlators extends straightforwardly to the logarithmic correlators
as the latter then reduce to the known results for two- and three-point
conformal blocks in logarithmic conformal field theory.

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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: funct-an