A physical approach to the classification of indecomposable Virasoro representations from the blob algebra

AM Gainutdinov, JL Jacobsen, H Saleur, R Vasseur - Nuclear Physics B, 2013 - Elsevier
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 …

On the semisimplicity of the category KLk for affine Lie superalgebras

D Adamović, PM Frajria, P Papi - Advances in mathematics, 2022 - Elsevier
We study the semisimplicity of the category KL k for affine Lie superalgebras and provide a
super analog of certain results from [8]. Let KL kfin be the subcategory of KL k consisting of …

A braided monoidal category for free super-bosons

I Runkel - Journal of Mathematical Physics, 2014 - pubs.aip.org
A braided monoidal category for free super-bosons | Journal of Mathematical Physics | AIP
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Lattice W-algebras and logarithmic CFTs

AM Gainutdinov, H Saleur… - Journal of Physics A …, 2014 - iopscience.iop.org
This paper is part of an effort to gain further understanding of 2D logarithmic conformal field
theories (LCFTs) by exploring their lattice regularizations. While all work so far has dealt with …

Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1012.4202, 2010 - arxiv.org
This is the sixth part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …

The symplectic fermion ribbon quasi-Hopf algebra and the SL (2, Z)-action on its centre

V Farsad, AM Gainutdinov, I Runkel - Advances in Mathematics, 2022 - Elsevier
We introduce a family of factorisable ribbon quasi-Hopf algebras Q (N) for N a positive
integer: as an algebra, Q (N) is the semidirect product of CZ 2 with the direct sum of a …

Logarithmic conformal field theories of type Bn, ℓ= 4 and symplectic fermions

I Flandoli, S Lentner - Journal of Mathematical Physics, 2018 - pubs.aip.org
An important set of conjectures 3.2 is concerned with the construction of a class of vertex
algebras t, which should have the same representation theory as corresponding small …

Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1012.4196, 2010 - arxiv.org
This is the second part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …

A general mirror equivalence theorem for coset vertex operator algebras

R McRae - Science China Mathematics, 2024 - Springer
We prove a general mirror duality theorem for a subalgebra U of a simple conformal vertex
algebra A and its commutant V= Com A (U). Specifically, we assume that A≌⊕ i∈ IU i⊗ V i …

Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1110.1929, 2011 - arxiv.org
This is the seventh part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …