75 citations · 665 across the 26 of their papers we have counts for
26 papers
Grothendieck-Verdier duality in categories of bimodules and weak module functors
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert +1
Various monoidal categories, including suitable representation categories of vertex operator algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a…
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…
Unitary and non-unitary minimal models
Thomas Creutzig, Tianshu Liu, David Ridout +1
The unitary superconformal minimal models have a long history in string theory and mathematical physics, while their non-unitary (and logarithmic) cousins have recently att…
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…
Singular vectors for the algebras
David Ridout, Steve Siu, Simon Wood
In this paper, we use free field realisations of the A-type principal, or Casimir, algebras to derive explicit formulae for singular vectors in Fock modules. These singular v…
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…
An admissible level -model: modular transformations and the Verlinde formula
David Ridout, John Snadden, Simon Wood
The modular properties of the simple vertex operator superalgebra associated to the affine Kac-Moody superalgebra at leve…
Superconformal minimal models and admissible Jack polynomials
Olivier Blondeau-Fournier, Pierre Mathieu, David Ridout +1
We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator superalgebras and of the classification of their modules in both the Neveu-Schwarz and…
The super-Virasoro singular vectors and Jack superpolynomials relationship revisited
O. Blondeau-Fournier, P. Mathieu, D. Ridout +1
A recent novel derivation of the representation of Virasoro singular vectors in terms of Jack polynomials is extended to the supersymmetric case. The resulting expression of a gene…
Relaxed singular vectors, Jack symmetric functions and fractional level models
David Ridout, Simon Wood
The fractional level models are (logarithmic) conformal field theories associated with affine Kac-Moody (super)algebras at certain levels . They are particularly…
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…
From Jack polynomials to minimal model spectra
David Ridout, Simon Wood
In this note, a deep connection between free field realisations of conformal field theories and symmetric polynomials is presented. We give a brief introduction into the necessary…
The Verlinde formula in logarithmic CFT
David Ridout, Simon Wood
In rational conformal field theory, the Verlinde formula computes the fusion coefficients from the modular S-transformations of the characters of the chiral algebra's representatio…
Bosonic Ghosts at as a Logarithmic CFT
David Ridout, Simon Wood
Motivated by Wakimoto free field realisations, the bosonic ghost system of central charge is studied using a recently proposed formalism for logarithmic conformal field theor…
Modular Transformations and Verlinde Formulae for Logarithmic -Models
David Ridout, Simon Wood
The singlet algebra is a vertex operator algebra that is strongly generated by a Virasoro field of central charge and a single Virasoro primary…
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…
Logarithmic bulk and boundary conformal field theory and the full centre construction
Ingo Runkel, Matthias R. Gaberdiel, Simon Wood
We review the definition of bulk and boundary conformal field theory in a way suited for logarithmic conformal field theory. The notion of a maximal bulk theory which can be non-de…
The tensor structure on the representation category of the triplet algebra
Akihiro Tsuchiya, Simon Wood
We study the braided monoidal structure that the fusion product induces on the abelian category -mod, the category of representations of the triplet -algebra $\ma…
A modular invariant bulk theory for the c=0 triplet model
Matthias R. Gaberdiel, Ingo Runkel, Simon Wood
A proposal for the bulk space of the logarithmic W(2,3)-triplet model at central charge zero is made. The construction is based on the idea that one may reconstruct the bulk theory…
Fusion Rules of the Triplet Models
Simon Wood
In this paper we determine the fusion rules of the logarithmic ${\calW}_{p,q}$ triplet theory and construct the Grothendieck group with subgroups for which consistent product struc…