David Ridout

Admissible-level sl3 minimal models

K Kawasetsu, D Ridout, S Wood

Journal article  |  2022  |  Letters in Mathematical Physics

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

Zachary Fehily, David Ridout

Journal article  |  2022  |  LETTERS IN MATHEMATICAL PHYSICS

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

Relaxed highest-weight modules II: Classifications for affine vertex algebras

K Kawasetsu, D Ridout

Journal article  |  2022  |  Communications in Contemporary Mathematics

This is the second of a series of papers devoted to the study of relaxed highest-weight modules over affine vertex algebras and W-..

Representations of the Nappi-Witten vertex operator algebra

Andrei Babichenko, Kazuya Kawasetsu, David Ridout, William Stewart

Journal article  |  2021  |  LETTERS IN MATHEMATICAL PHYSICS

The Nappi–Witten model is a Wess–Zumino–Witten model in which the target space is the nonreductive Heisenberg group H4. We conside..

Staggered modules of N=2 superconformal minimal models

Christopher Raymond, David Ridout, Jurgen Rasmussen

Journal article  |  2021  |  NUCLEAR PHYSICS B

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

Drazen Adamovic, Kazuya Kawasetsu, David Ridout

Journal article  |  2021  |  LETTERS IN MATHEMATICAL PHYSICS

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

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

Zachary Fehily, Kazuya Kawasetsu, David Ridout

Journal article  |  2021  |  COMMUNICATIONS IN MATHEMATICAL PHYSICS

The Bershadsky–Polyakov algebras are the minimal quantum hamiltonian reductions of the affine vertex algebras associated to sl3 an..

Tensor categories arising from the Virasoro algebra

Thomas Creutzig, Cuipo Jiang, Florencia Orosz Hunziker, David Ridout, Jinwei Yang

Journal article  |  2021  |  ADVANCES IN MATHEMATICS

We show that there is a braided tensor category structure on the category of C1-cofinite modules for the (universal or simple) Vir..

Unitary and non-unitary N=2 minimal models

Thomas Creutzig, Tianshu Liu, David Ridout, Simon Wood

Journal article  |  2019  |  JOURNAL OF HIGH ENERGY PHYSICS

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

SCHUR-WEYL DUALITY FOR HEISENBERG COSETS

T Creutzig, S Kanade, AR Linshaw, D Ridout

Journal article  |  2019  |  TRANSFORMATION GROUPS

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..