75 citations · 665 across the 26 of their papers we have counts for
13 papers · 1 filter
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…
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…
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…
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…
Fusion rules and boundary conditions in the c=0 triplet model
Matthias R. Gaberdiel, Ingo Runkel, Simon Wood
The logarithmic triplet model W_2,3 at c=0 is studied. In particular, we determine the fusion rules of the irreducible representations from first principles, and show that there ex…
Moduli Webs and Superpotentials for Five-Branes
Marco Baumgartl, Simon Wood
We investigate the one-parameter Calabi-Yau models and identify families of D5-branes which are associated to lines embedded in these manifolds. The moduli spaces are given by sets…