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On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories
Jonathan Belletête, Azat M. Gainutdinov, Jesper L. Jacobsen +2
The relationship between bulk and boundary properties is one of the founding features of (Rational) Conformal Field Theory. Our goal in this paper is to explore the possibility of…
The periodic sl(2|1) alternating spin chain and its continuum limit as a bulk Logarithmic Conformal Field Theory at c=0
A. M. Gainutdinov, N. Read, H. Saleur +1
The periodic sl(2|1) alternating spin chain encodes (some of) the properties of hulls of percolation clusters, and is described in the continuum limit by a logarithmic conformal fi…
Logarithmic Conformal Field Theory: a Lattice Approach
A. M. Gainutdinov, J. L. Jacobsen, N. Read +2
Logarithmic Conformal Field Theories (LCFT) play a key role, for instance, in the description of critical geometrical problems (percolation, self avoiding walks, etc.), or of criti…
A physical approach to the classification of indecomposable Virasoro representations from the blob algebra
Azat M. Gainutdinov, Jesper Lykke Jacobsen, Hubert Saleur +1
In the context of Conformal Field Theory (CFT), many results can be obtained from the representation theory of the Virasoro algebra. While the interest in Logarithmic CFTs has been…
Lattice fusion rules and logarithmic operator product expansions
A. M. Gainutdinov, R. Vasseur
The interest in Logarithmic Conformal Field Theories (LCFTs) has been growing over the last few years thanks to recent developments coming from various approaches. A particularly f…