404 citations · 3.5k across the 79 of their papers we have counts for
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State sum models, induced gravity and the spectral action
John W. Barrett
A proposal that the bosonic action of gravity and the standard model is induced from the fermionic action is investigated. It is suggested that this might occur naturally in state…
A Lorentzian version of the non-commutative geometry of the standard model of particle physics
John W. Barrett
A formulation of the non-commutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in…
Non-commutative geometry and the standard model vacuum
John W. Barrett, Rachel A. Dawe Martins
The space of Dirac operators for the Connes-Chamseddine spectral action for the standard model of particle physics coupled to gravity is studied. The model is extended by including…
The equality of 3-manifold invariants
John W. Barrett, Bruce W. Westbury
The invariants of 3-manifolds defined by Kuperberg for involutory Hopf algebras and those defined by the authors for spherical Hopf algebras are the same for Hopf algebras on which…
First order Regge calculus
John W. Barrett
A first order form of Regge calculus is defined in the spirit of Palatini's action for general relativity. The extra independent variables are the interior dihedral angles of a sim…
Invariants of Piecewise-Linear 3-Manifolds
John W. Barrett, Bruce W. Westbury
In this paper we develop a theory for constructing an invariant of closed oriented 3-manifolds, given a certain type of Hopf algebra. Examples are given by a quantised enveloping a…
Spherical Categories
John W. Barrett, Bruce W. Westbury
This paper is a study of monoidal categories with duals where the tensor product need not be commutative. The motivating examples are categories of representations of Hopf algebras…