Free Field Realisations of Staggered Modules in 2D Logarithmic CFTs

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 $\beta$-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.

20 pages, 6 figures

References in corpus (10)

• Virasoro representations and fusion for general augmented minimal models
• Logarithmic intertwining operators and W(2,2p-1)-algebras
• Indecomposability parameters in chiral Logarithmic Conformal Field Theory
• Logarithmic observables in critical percolation
• Fusion Algebras of Logarithmic Minimal Models
• Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality
• Boundary algebras and Kac modules for logarithmic minimal models
• On the Percolation BCFT and the Crossing Probability of Watts
• Logarithmic intertwining operators and vertex operators
• Concrete Foundations for Categorical Quantum Physics

Cited by in corpus (1)

• Staggered modules of $N=2$ superconformal minimal models