On logarithmic solutions to the conformal Ward identities
arXiv:hep-th/0507177 · doi:10.1016/j.nuclphysb.2005.09.014
Abstract
A general discussion of the conformal Ward identities is presented in the context of logarithmic conformal field theory with conformal Jordan cells of rank two. The logarithmic fields are taken to be quasi-primary. No simplifying assumptions are made about the operator-product expansions of the primary or logarithmic fields. Based on a very natural and general ansatz about the form of the two- and three-point functions, their complete solutions are worked out. The results are in accordance with and extend the known results. It is demonstrated, for example, that the correlators exhibit hierarchical structures similar to the ones found in the literature pertaining to certain simplifying assumptions.
14 pages, LaTeX, v2: reference corrected
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Cited by in corpus (8)
- The ABC (in any D) of Logarithmic CFT
- Notes on non-trivial and logarithmic CFTs with c=0
- Jordan cells in logarithmic limits of conformal field theory
- Coset Graphs in Bulk and Boundary Logarithmic Minimal Models
- Affine Jordan cells, logarithmic correlators, and hamiltonian reduction
- Towards the Construction of Local Logarithmic Conformal Field Theories
- Operator Algebra in Logarithmic Conformal Field Theory
- Some Aspects of c=-2 Theory