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arXiv · 1612.02909

Free Field Realisations of Staggered Modules in 2D Logarithmic CFTs

Michael Cromer
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Abstract

We utilise bosonic Fock spaces, considered as Virasoro modules, to make free field realisations of the so-called staggered modules of two-dimensional logarithmic conformal field theories. A general formula for the $β$-invariant of a staggered Fock module is derived, and found to agree with values previously known in the literature. In this way a large class of staggered modules is produced; one which provides an explicit free-field construction for many of those previously studied. We show how these modules can arise algebraically by including the modes of weight-$0$ fields into the algebra.

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Michael Cromer. 2016-12-09. Free Field Realisations of Staggered Modules in 2D Logarithmic CFTs. https://doi.org/10.1088/1751-8121%2Faa7f0a

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