Nonlocal operator basis from the path representation of the M(k+1,k+2) and the M(k+1,2k+3) minimal models

P. Jacob; P. Mathieu

doi:10.1088/1751-8113/41/38/385201

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arXiv · 0802.4298

Nonlocal operator basis from the path representation of the M(k+1,k+2) and the M(k+1,2k+3) minimal models

P. Jacob·P. Mathieu

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Abstract

We reinterpret a path describing a state in an irreducible module of the unitary minimal model M(k+1,k+2) in terms of a string of charged operators acting on the module's ground-state path. Each such operator acts non-locally on a path. The path characteristics are then translated into a set of conditions on sequences of operators that provide an operator basis. As an application, we re-derive the vacuum finite fermionic character by constructing the generating function of these basis states. These results generalize directly to the M(k+1,2k+3) models, the close relatives of the unitary models in terms of path description.

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P. Jacob, P. Mathieu. 2008-02-28. Nonlocal operator basis from the path representation of the M(k+1,k+2) and the M(k+1,2k+3) minimal models. https://doi.org/10.1088/1751-8113/41/38/385201

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