45 citations · 260 across the 17 of their papers we have counts for
17 papers
A Temperley-Lieb category for 2-manifolds
Marcos Alvarez, Paul P. Martin
Guided by consideration of problems in 2 and 3 dimensional lattice model computation, we are led to define a number of new categories, and functors between these categories and the…
Higher-dimensional Temperley-Lieb algebras
Marcos Alvarez, Paul P. Martin
A category which generalises to higher dimensions many of the features of the Temperley-Lieb category is introduced.
Torsion cycles as non-local magnetic sources in non-orientable spaces
Marcos Alvarez
Non-orientable spaces can appear to carry net magnetic charge, even in the absence of magnetic sources. It is shown that this effect can be understood as a physical manifestation o…
Charges and fluxes in Maxwell theory on compact manifolds with boundary
Marcos Alvarez, David I. Olive
We investigate the charges and fluxes that can occur in higher-order Abelian gauge theories defined on compact space-time manifolds with boundary. The boundary is necessary to supp…
Spin and abelian electromagnetic duality on four-manifolds
David I. Olive, Marcos Alvarez
We investigate the electromagnetic duality properties of an abelian gauge theory on a compact oriented four-manifold by analysing the behaviour of a generalised partition function…
The Dirac quantisation condition for fluxes on four-manifolds
Marcos Alvarez, David I. Olive
A systematic treatment is given of the Dirac quantisation condition for electromagnetic fluxes through two-cycles on a four-manifold space-time which can be very complicated topolo…