Towards Higher Rank Logarithmic Conformal Field Theories

A Kazhdan–Lusztig Correspondence for L-32(sl3)

T Creutzig, D Ridout, M Rupert

2023-05-01

The abelian and monoidal structure of the category of smooth weight modules over a non-integrable affine vertex algebra of rank gr..

Admissible-level sl3 minimal models

K Kawasetsu, D Ridout, S Wood

2022-09-20

The first part of this work uses the algorithm recently detailed in Kawasetsu and Ridout (Commun Contemp Math 24:2150037, 2022. ar..

Modularity of Bershadsky–Polyakov minimal models

Z Fehily, D Ridout

2022-06-01

The Bershadsky–Polyakov algebras are the original examples of nonregular W-algebras, obtained from the affine vertex operator alge..

Representations of the Nappi–Witten vertex operator algebra

A Babichenko, K Kawasetsu, D Ridout, W Stewart

2021-10-01

The Nappi–Witten model is a Wess–Zumino–Witten model in which the target space is the nonreductive Heisenberg group H<inf>4</inf>...

Classifying Relaxed Highest-Weight Modules for Admissible-Level Bershadsky–Polyakov Algebras

Z Fehily, K Kawasetsu, D Ridout

2021-07-01

The Bershadsky–Polyakov algebras are the minimal quantum hamiltonian reductions of the affine vertex algebras associated to sl<inf..

Staggered modules of N = 2 superconformal minimal models

C Raymond, D Ridout, J Rasmussen

2021-06-01

We investigate a class of reducible yet indecomposable modules over the N=2 superconformal algebras. These so-called staggered mod..

A realisation of the Bershadsky–Polyakov algebras and their relaxed modules

D Adamović, K Kawasetsu, D Ridout

2021-04-01

We present a realisation of the universal/simple Bershadsky–Polyakov vertex algebras as subalgebras of the tensor product of the u..

Tensor categories arising from the Virasoro algebra

T Creutzig, C Jiang, F Orosz Hunziker, D Ridout, J Yang

2021-03-26

We show that there is a braided tensor category structure on the category of C<inf>1</inf>-cofinite modules for the (universal or ..

SCHUR–WEYL DUALITY FOR HEISENBERG COSETS

T Creutzig, S Kanade, AR Linshaw, D Ridout

2019-06-15

Let V be a simple vertex operator algebra containing a rank n Heisenberg vertex algebra H and let C = Com(H;V) be the coset of H i..

Relaxed Highest-Weight Modules I: Rank 1 Cases

K Kawasetsu, D Ridout

2019-06-01

Relaxed highest-weight modules play a central role in the study of many important vertex operator (super)algebras and their associ..

Unitary and non-unitary N = 2 minimal models

T Creutzig, T Liu, D Ridout, S Wood

2019-06-01

The unitary N = 2 superconformal minimal models have a long history in string theory and mathematical physics, while their non-uni..

Cosets, characters and fusion for admissible-level osp(1

T Creutzig, S Kanade, T Liu, D Ridout

2019-01-01

We study the minimal models associated to osp(1|2), otherwise known as the fractional-level Wess–Zumino–Witten models of osp(1|2)...

NGK and HLZ: Fusion for Physicists and Mathematicians

S Kanade, D Ridout

2019-01-01

In this expository note, we compare the fusion product of conformal field theory, as defined by Gaberdiel and used in the Nahm–Gab..

Modularity of logarithmic parafermion vertex algebras

J Auger, T Creutzig, D Ridout

2018-12-01

The parafermionic cosets C<inf>k</inf>= Com (H, L<inf>k</inf>(sl<inf>2</inf>)) are studied for negative admissible levels k, as ar..

An admissible level osp^ (1

J Snadden, D Ridout, S Wood

2018-11-01

The modular properties of the simple vertex operator superalgebra associated with the affine Kac–Moody superalgebra osp^ (1 | 2) a..

Singular vectors for the WN algebras

D Ridout, S Siu, S Wood

2018-03-01

In this paper, we use free field realisations of the A-type principal, or Casimir, W<inf>N</inf> algebras to derive explicit formu..

Restriction and induction of indecomposable modules over the Temperley-Lieb algebras

J Belletête, D Ridout, Y Saint-Aubin

2018-01-26

Both the original Temperley-Lieb algebras TL<inf>n</inf> and their dilute counterparts dTL<inf>n</inf> form families of filtered a..

Superconformal minimal models and admissible Jack polynomials

O Blondeau-Fournier, P Mathieu, D Ridout, S Wood

2017-07-09

We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator superalgebras and of the classificat..

The super-Virasoro singular vectors and Jack superpolynomials relationship revisited

O Blondeau-Fournier, P Mathieu, D Ridout, S Wood

2016-12-01

A recent novel derivation of the representation of Virasoro singular vectors in terms of Jack polynomials is extended to the super..