75 citations · 665 across the 26 of their papers we have counts for
9 papers · 1 filter
Algebraic structures in two-dimensional conformal field theory
Jürgen Fuchs, Christoph Schweigert, Simon Wood +1
This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We review the following algebraic structures which appear in two-dimensional conform…
Admissible-level minimal models
Kazuya Kawasetsu, David Ridout, Simon Wood
The first part of this work uses the algorithm recently detailed in arXiv:1906.02935 to classify the irreducible weight modules of the minimal model vertex operator algebra $L_k(\m…
Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson
Robert Allen, Simon Lentner, Christoph Schweigert +1
Huang, Lepowsky and Zhang have developed a module theory for vertex operator algebras that endows suitably chosen module categories with the structure of braided monoidal categorie…
Bosonic ghostbusting -- The bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion
Robert Allen, Simon Wood
The rank 1 bosonic ghost vertex algebra, also known as the ghosts, symplectic bosons or Weyl vertex algebra, is a simple example of a conformal field theory which is neither r…
Admissible level minimal models and their relaxed highest weight modules
Simon Wood
The minimal model vertex operator superalgebras are the simple quotients of affine vertex operator superalgebras constructed from the affine Lie super algebra…
Yang-Baxter representations of the infinite symmetric group
Gandalf Lechner, Ulrich Pennig, Simon Wood
Every unitary involutive solution of the quantum Yang-Baxter equation ("R-matrix") defines an extremal character and a representation of the infinite symmetric group . We…
On Regularised Quantum Dimensions of the Singlet Vertex Operator Algebra and False Theta Functions
Thomas Creutzig, Antun Milas, Simon Wood
We study a family of non-C2-cofinite vertex operator algebras, called the singlet vertex operator algebras, and connect several important concepts in the theory of vertex operator…
Coset Constructions of Logarithmic (1,p)-Models
Thomas Creutzig, David Ridout, Simon Wood
One of the best understood families of logarithmic conformal field theories is that consisting of the (1,p) models (p = 2, 3, ...) of central charge c_{1,p} = 1 - 6 (p-1)^2 / p. Th…
On the extended W-algebra of type sl_2 at positive rational level
Akihiro Tsuchiya, Simon Wood
The extended W-algebra of type sl_2 at positive rational level, denoted by M_{p_+,p_-}, is a vertex operator algebra that was originally proposed in [1]. This vertex operator algeb…