634 citations · 2.3k across the 53 of their papers we have counts for
39 papers · 1 filter
Coupled free fermion conformal field theories
Peter Bouwknegt, Bolin Han
We study a specific class of CFTs that involve coupled free fermions, arising from parafermion CFTs and lattice constructions. We analyse their representation spaces and the underl…
q-Identities for parafermion theories
Peter Bouwknegt, Shane Chern, Bolin Han
In this paper we will prove a series of -identities suggested by the realisation of certain conformal field theories by so-called `coupled free fermions'. We will consider -s…
Hidden isometry of "T-duality without isometry"
Peter Bouwknegt, Mark Bugden, Ctirad Klimcik +1
We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke [3] who recently used Lie algebroid gauge theories to obtain sigma models exhibiting a "T-duality withou…
Spherical T-Duality and the spherical Fourier-Mukai transform
Peter Bouwknegt, Jarah Evslin, Varghese Mathai
In earlier papers, we introduced spherical T-duality, which relates pairs of the form consisting of an oriented -bundle and a 7-cocycle on cal…
Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles
Peter Bouwknegt, Jarah Evslin, Varghese Mathai
Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles. In this paper, we extend spherical T-duality to spacetimes that are oriented…
Spherical T-Duality
P. Bouwknegt, J. Evslin, V. Mathai
We introduce spherical T-duality, which relates pairs of the form consisting of a principal -bundle and a 7-cocycle on . Intuitively spherica…
Topological T-duality and T-folds
Peter Bouwknegt, Ashwin S. Pande
We explicitly construct the C*-algebras arising in the formalism of Topological T-duality due to Mathai and Rosenberg from string-theoretic data in several key examples. We constru…
Presentations of Wess-Zumino-Witten Fusion Rings
Peter Bouwknegt, David Ridout
The fusion rings of Wess-Zumino-Witten models are re-examined. Attention is drawn to the difference between fusion rings over Z (which are often of greater importance in applicatio…
Flux Compactifications on Projective Spaces and The S-Duality Puzzle
P. Bouwknegt, J. Evslin, B. Jurco +2
We derive a formula for D3-brane charge on a compact spacetime, which includes torsion corrections to the tadpole cancellation condition. We use this to classify D-branes and RR fl…
T-duality for principal torus bundles and dimensionally reduced Gysin sequences
Peter Bouwknegt, Keith Hannabuss, Varghese Mathai
We reexamine the results on the global properties of T-duality for principal circle bundles in the context of a dimensionally reduced Gysin sequence. We will then construct a Gysin…
Nonassociative tori and applications to T-duality
Peter Bouwknegt, Keith Hannabuss, Varghese Mathai
In this paper, we initiate the study of C*-algebras endowed with a twisted action of a locally compact Abelian Lie group, and we construct a twisted crossed product, which is in ge…
T-duality for principal torus bundles
Peter Bouwknegt, Keith Hannabuss, Varghese Mathai
In this paper we study T-duality for principal torus bundles with H-flux. We identify a subset of fluxes which are T-dualizable, and compute both the dual torus bundle as well as t…
A Note on the Equality of Algebraic and Geometric D-Brane Charges in WZW Models
Peter Bouwknegt, David Ridout
The algebraic definition of charges for symmetry-preserving D-branes in Wess-Zumino-Witten models is shown to coincide with the geometric definition, for all simple Lie groups. The…
On the Topology and Flux of T-Dual Manifolds
Peter Bouwknegt, Jarah Evslin, Varghese Mathai
We present a general formula for the topology and H-flux of the T-dual of a type two compactification. Our results apply to T-dualities with respect to any free circle action. In p…
T-Duality: Topology Change from H-flux
P. Bouwknegt, J. Evslin, V. Mathai
T-duality acts on circle bundles by exchanging the first Chern class with the fiberwise integral of the H-flux, as we motivate using E_8 and also using S-duality. We present known…
K-matrices for 2D conformal field theories
E. Ardonne, P. Bouwknegt, P. Dawson
In this paper we examine fermionic type characters (Universal Chiral Partition Functions) for general 2D conformal field theories with a bilinear form given by a matrix of the form…
D-branes on group manifolds and fusion rings
P. Bouwknegt, P. Dawson, D. Ridout
In this paper we compute the charge group for symmetry preserving D-branes on group manifolds for all simple, simply-connected, connected compact Lie groups G.
Twisted K-theory and K-theory of bundle gerbes
P. Bouwknegt, A. L. Carey, V. Mathai +2
In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-th…
D-branes, B-fields and twisted K-theory
P. Bouwknegt, V. Mathai
In this note we propose that D-brane charges, in the presence of a topologically non-trivial B-field, are classified by the K-theory of an infinite dimensional C^*-algebra. In the…
Exclusion statistics in conformal field theory and the UCPF for WZW models
Peter Bouwknegt, Leung Chim, David Ridout
In this paper we further elaborate on the notion of fractional exclusion statistics, as introduced by Haldane, in two-dimensional conformal field theory, and its connection to the…
Exclusion Statistics in Conformal Field Theory -- generalized fermions and spinons for level-1 WZW theories
P. Bouwknegt, K. Schoutens
We systematically study the exclusion statistics for quasi-particles for Conformal Field Theory spectra by employing a method based on recursion relations for truncated spectra. Ou…
Fusing the coordinates of quantum superspace
Peter Bouwknegt, Jim McCarthy, Peter van Nieuwenhuizen
We introduce the notion of a fused quantum superplane by allowing for terms in the defining relations. We develop the differential calculus for a large class of fused qu…
The SU(n)_1 WZW Models: Spinon Decomposition and Yangian Structure
P. Bouwknegt, K. Schoutens
We present a `spinon formulation' of the Wess-Zumino-Witten models. Central to this approach are a set of massless quasi-particles, called `spinons', which transform in t…
BV-Structure of the Cohomology of Nilpotent Subalgebras and the Geometry of (W-) Strings
Peter Bouwknegt, Jim Mccarthy, Krzysztof Pilch
Given a simple, simply laced, complex Lie algebra $\bfg$ corresponding to the Lie group , let $\bfnp$ be the subalgebra generated by the positive roots. In this paper we constru…