21 citations · 146 across the 13 of their papers we have counts for
16 papers
The geometry of the space of BPS vortex-antivortex pairs
Nuno M. Romão, J. Martin Speight
The gauged sigma model with target , defined on a Riemann surface , supports static solutions in which vortices coexist in stable equilibrium with anti…
The Nahm-Schmid equations and Hypersymplectic Geometry
Roger Bielawski, Nuno M. Romão, Markus Röser
We explore the geometry of the Nahm-Schmid equations, a version of Nahm's equations in split signature. Our discussion ties up different aspects of their integrable nature: dimensi…
Kähler quantization of vortex moduli
Dennis Eriksson, Nuno M. Romão
We discuss the Kähler quantization of moduli spaces of vortices in line bundles over compact surfaces . This furnishes a semiclassical framework for the study of quantum vortex…
Divisor braids
Marcel Bökstedt, Nuno M. Romão
We study a novel type of braid groups on a closed orientable surface . These are fundamental groups of certain manifolds that are hybrids between symmetric products and configur…
A no-go theorem for nonabelionic statistics in gauged linear sigma-models
Indranil Biswas, Nuno M. Romão
Gauged linear sigma-models at critical coupling on Riemann surfaces yield self-dual field theories, their classical vacua being described by the vortex equations. For local models…
Pairs of pants, Pochhammer curves and -invariants
Marcel Bökstedt, Nuno M. Romão
We propose an intuitive interpretation for nontrivial -Betti numbers of compact Riemann surfaces in terms of certain loops in embedded pairs of pants. This description uses tw…
Moduli of vortices and Grassmann manifolds
Indranil Biswas, Nuno M. Romão
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface with target…
Vortices and Jacobian varieties
Nicholas S. Manton, Nuno M. Romão
We investigate the geometry of the moduli space of N-vortices on line bundles over a closed Riemann surface of genus g > 1, in the little explored situation where 1 =< N < g. In th…
On the curvature of vortex moduli spaces
Marcel Bökstedt, Nuno M. Romão
We use algebraic topology to investigate local curvature properties of the moduli spaces of gauged vortices on a closed Riemann surface. After computing the homotopy type of the un…
Spectral curves and the mass of hyperbolic monopoles
Paul Norbury, Nuno M. Romão
The moduli spaces of hyperbolic monopoles are naturally fibred by the monopole mass, and this leads to a nontrivial mass dependence of the holomorphic data (spectral curves, ration…
A combinatorial formula for homogeneous moments
Michael G. Eastwood, Nuno M. Romão
We establish a combinatorial formula for homogeneous moments and give some examples where it can be put to use. An application to the statistical mechanics of interacting gauged vo…
Gauged vortices in a background
Nuno M. Romão
We discuss the statistical mechanics of a gas of gauged vortices in the canonical formalism. At critical self-coupling, and for low temperatures, it has been argued that the config…
Dynamics of CP^1 lumps on a cylinder
Nuno M. Romão
The slow dynamics of topological solitons in the CP^1 sigma-model, known as lumps, can be approximated by the geodesic flow of the L^2 metric on certain moduli spaces of holomorphi…
Slow Schroedinger dynamics of gauged vortices
N. M. Romao, J. M. Speight
Multivortex dynamics in Manton's Schroedinger--Chern--Simons variant of the Landau-Ginzburg model of thin superconductors is studied within a moduli space approximation. It is show…
Quantum Chern-Simons Vortices on a Sphere
Nuno M. Romão
The quantisation of the reduced first-order dynamics of the nonrelativistic model for Chern-Simons vortices introduced by Manton is studied on a sphere of given radius. We perform…
On the constraints defining BPS monopoles
C. J. Houghton, N. S. Manton, N. M. Romão
We discuss the explicit formulation of the transcendental constraints defining spectral curves of SU(2) BPS monopoles in the twistor approach of Hitchin, following Ercolani and Sin…