Spectral geometry of nuts and bolts
(with Lyonell Boulton and Kim Smedley-Williams)
Journal of Physics A: Math. Theor. (2022) 55 235202
online
and
arXiv:2221.11411
Geometry and Symmetry in Skyrmion Dynamics
(with Vlad Kuchkin, Ksenia Chichai, Bruno Barton-Singer, Filipp Rybakov, Stefan Blugel, Nikolai Kiselev)
Physical Review B 104 (2021) 16, 165116
online
and
arXiv:2104.02342
Magnetic skyrmions, chiral kinks and holomorphic functions
(with Vlad Kuchkin, Bruno Barton-Singer, Filipp Rybakov, Stefan Blugel, Nikolai Kiselev)
Physical Review B 102 (2020), 144422
online
and
arXiv:2007.06260
Dk Gravitational instantons as superpositions of Atiyah-Hitchin and Taub-NUT geometries
(with Michael Singer)
Quart. J. Math. 00 (2021), 1-61
online
and
arXiv:2004.02759
Solvable models of magnetic skyrmions,
In `Quantum Theory and Symmetries', Proceedings of the 11th International Symposium, Montreal, Canada
(Eds. M. Paranjape, R. MacKenzie, Z. Thomova, P. Winternitz, P., W. Witczak-Krempa), Springer Verlag, 2021, and
arXiv:1910.13907
Michael Atiyah and physics: the later years,
Notices of the American Mathematical Society 66 (2019) 1849-1851
online
and
arXiv:1910.10630
Gauged sigma models and magnetic skyrmions,
SciPost 7, 030 (2019)
online
and
arXiv:1905.06285
Magnetic skyrmions at critical coupling,
(with Bruno Barton-Singer and Calum Ross) Commun. Math. Phys. 375 (2020) 2259-2280
open access ;
arXiv:1812.07268
Linked and knotted synthetic magnetic fields,
(with C Duncan, C Ross, N Westerberg, M Valiente, P Ohberg) Physical Review A 99 (2019) online
and
arXiv:1808.03655
Non-commutative waves for gravitational anyons,
(with Sergio Inglima) Letters in Mathematical Physics 109 (2019) 1433-1471, see open access
and
arXiv:1804.05782
Hyperbolic vortices and Dirac fields in 2+1 dimensions (with Calum Ross) J. Phys. A51 (2018) no.29, 295202
arXiv:1803.11120
Quantum Bound States in Yang-Mills-Higgs Theory (with Lyonell Boulton and Kim Smedley-Williams) Commun. Math. Phys. 363 (2018) 261-287, see open access
and
arXiv:1708.08363
Classical r-matrices for the generalised Chern-Simons formulation of 3d gravity (with Prince Osei) Classical and Quantum Gravity 35 (2018) 075006
arXiv:1708.07650
Magnetic Zero-Modes, Vortices and Cartan Geometry (with Calum Ross) Letters in Mathematical Physics 2017, see Authorlink
and
arXiv:1705.09632
Spectral Properties of Schwarzschild Instantons (with Rogelio Jante) Classical and Quantum Gravity 33 (2016) 205008.
arXiv:1604.06080
Adiabatic dynamics of instantons on S4 (with Guido Franchetti) Commun. Math. Phys. 353 (2017) 185-228
arXiv:1508.06566
Taub-NUT Dynamics with a Magnetic Field
(with Rogelio Jante) J. Geom. Phys. 104 (2016) 305-328,
arXiv:1507.08165
Time evolution in a geometric model of a particle (with Michael Atiyah and Guido Franchetti) JHEP 02 (2015) 062
arXiv:1412.5915
Towards non-commutative deformations of relativistic wave equations in 2+1 dimensions (with Matthias Wilhelm)
SIGMA 10 (2014), 053, 23 pages,
arXiv:1402.7039
Dirac operators on the Taub-NUT space, monopoles and SU(2) representations (with Rogelio Jante) JHEP 01 (2014) 114,
arXiv:1312.4879
Classical r-matrices via semidualisation (with Prince K. Osei) J. Math. Phys. 54 (2013) 101702.
arXiv:1307.6485
On the semiduals of local isometry groups in 3d gravity (with Prince K. Osei) J. Math. Phys. 53 (2012) 073510
arXiv:1109.4086
Geometric models of matter (with Michael Atiyah and Nick Manton) Proc. Roy. Soc. Lond. A468 (2012) 1252--1279
online version,
arXiv:1108.5151
Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach, talk given at `Geometry and Physics in Cracow', Cracow 2010,
Acta Phys. Pol. B Proceedings Supplement vol. 4 (2011) page 379,
arXiv:1105.3945
On resonances and bound states of the 't Hooft-Polyakov monopole
(with K. M. Russell) Phys. Rev. D 83 (2011) 065004,
arXiv:1012.3438
Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra
(with G. Papageourgiou) JHEP11(2010)020,
arXiv:1008.0279
Supercharges, Quantum States and Angular Momentum for N=4 Supersymmetric Monopoles (with E. de Vries) Nucl. Phys. B 839 (2010) 157-186,
arXiv:1004.0528
Towards a non-abelian electric-magnetic symmetry: the skeleton group
(with F.A. Bais, L.Kampmeijer and J.K. Slingerland) JHEP01(2010)095,
arXiv:0812.1230
A Chern-Simons approach to Galilean Quantum Gravity in 2+1 dimensions
(with G. Papageourgiou) JHEP11(2009)009,
arXiv:0907.2880
Supersymmetric quantum mechanics of magnetic monopoles: a case study
(with E. de Vries) Nucl. Phys. B 815 (2009) 368-403,
arXiv:0811.2155
q-deformation and semi-dualisation in 3d quantum gravity
(with S. Majid) J. Phys. A 42 (2009) 425402,
arXiv:0806.2587
Generalised Chern-Simons actions for 3d gravity and kappa-Poincare symmetry.
(with C. Meusburger) Nucl. Phys. B 806 (2009) 462-488,
arXiv:0805.3318
Magnetic Charge Lattices, Moduli Spaces and Fusion Rules.
(with L. Kampmeier, J. Slingerland and F.A. Bais) Nucl. Phys. B 806 (2009) 386-435,
arXiv:0803.3376
Lessons from (2+1)-dimensional quantum gravity,
talk given at the conference ``From Quantum to Emergent Gravity: Theory and Phenomenology''
June 11-15 2007, Trieste, Italy. PoS (2007) QG-PH:035.
arXiv:0710.5844
Quaternionic and Poisson-Lie structures in 3d gravity: The Cosmological constant as deformation parameter
(with C. Meusburger) J. Math. Phys. 49 (2008) 083510,
arXiv:0708.1507
Phase space structure of Chern-Simons theory with a non-standard
puncture
(with C. Meusburger)
Nucl. Phys. B 738 (2006) 425-456,
hep-th/0505143
Boundary conditions and symplectic structure in the Chern-Simons
formulation of 2+1 dimensional gravity
(with C. Meusburger)
Class. Quantum Grav 22 (2005) 3689-3724,
gr-qc/0505071
Mapping class group actions in Chern-Simons theory with gauge
group
$G\ltimes g^*$
(with C. Meusburger)
Nuclear Physics B706 (2005) 569--597,
hep-th/0312049
The quantisation of Poisson structures arising in Chern-Simons
theory with gauge group $G\ltimes g^*$
(with C. Meusburger)
Advances in Theoretical and Mathematical Physics
7 (2004) 1003--1043,
hep-th/0301108
Hopf symmetry breaking and confinement in (2+1)-dimensional gauge
theory
(with F.A. Bais and J.K. Slingerland) JHEP05(2003)068 ,
hep-th/0205114
Poisson structure and symmetry in the Chern-Simons formulation
of (2+1)-dimensional gravity
(with C. Meusburger)
Class. Quant. Grav. 20 (2003) 2193--2234, gr-qc/0301108
On the existence of minima in the Skyrme model,
talk given at workshop `Integrable Theories, Solitons and
Duality', Sao Paulo 2002,
JHEP proceedings PRHEP-unesp2002/034., hep-th/0212076
The interaction energy of well-separated Skyrme solitons
(with N. Manton and M. Singer)
Commun. Math. Phys. 245 (2004) 123-147, hep-th/0212075
Broken quantum symmetry and confinement phases in planar physics
(with F.A. Bais and J.K. Slingerland)
Phys. Rev. Lett. 89 (2002) 181601--181604, hep-th/0205117
Quantum group symmetry and particle scattering in
(2+1)-dimensional
quantum gravity (with F.A. Bais and N.M. Muller)
Nucl. Phys. B640 (2002) 3--45, hep-th/0205021
Unstable manifolds and Schroedinger dynamics of Ginzburg-Landau
vortices(with O. Lange) Nonlinearity 15 (2002)
1471--1488, nlin.PS/0201047
Combinatorial quantisation of Euclidean gravity in three
dimensions,
Progress in Mathematics 198 (2001), 307--327, math.qa/0006228
Fourier transfrom and the Verlinde formula for the quantum
double of a finite group
(with T. Koornwinder, J. Slingerland and F.A. Bais)
J. Phys. A: Math. Gen. 32 (1999) 8539--8549, math.qa/9904029
S-duality in SU(3) Yang-Mills theory with non-abelian
unbroken gauge group
(with F.A. Bais)
Nuclear Physics B 535 (1998) 197--218, hep-th/9805163
N=4 supersymmetric Yang-Mills theory on a Kaehler surface
(with R. Dijkgraaf and J.-S. Park) preprint ITFA-97-09,
hep-th/9801066
Non-abelian dyons,
talk given at workshop on solitons in Kingston, Ontario,
Canada, 1997,
Solitons: Properties,
Dynamics, Interactions and Applications, Springer Verlag 1999, 225--233, hep-th/9710182
Quantisation of monopoles with non-abelian magnetic charge
(with F.A. Bais)
Nuclear Physics B 512 (1998) 250--294, hep-th/9708004
The spectrum of Bogomol'nyi solitons in gauged
linear sigma models,
Nuclear Physics B 475 (1996) 440--468, hep-th/9603101
Skyrme-Maxwell solitons in 2+1 dimensions
(with J. Gladikowski and B.M.A.G Piette)
Physical Review D 53 (1996) 844--851, hep-th/9506099
Bogomol'nyi solitons in a gauged O(3) sigma model,
Physics Letters B 356 (1995) 291--296, hep-th/9506004
Attractive channel Skyrmions and the deuteron
(with R.A. Leese and N.S. Manton) Nuclear Physics B 442 (1995)
228--267, hep-ph/9502405
Dynamics of baby Skyrmions
(with B.M.A.G. Piette and W.J. Zakrzewski)
Nuclear Physics B 439 (1995) 205--235, hep-ph/9410256
Multisolitons in a 2-dimensional Skyrme Model
(with B.M.A.G. Piette and W.J. Zakrzewski)
Zeitschrift fuer Physik C 65 (1995) 165, hep-th/9406160
Dynamics of moving and spinning Skyrmions,
Zeitschrift f"ur Physik C 61 (1994) 479--494, hep-ph/9308236
Bundles over moduli spaces and
the quantisation of BPS monopoles
(with N.S. Manton)
Annals of Physics 225 (1993) 290--338.
Quantum scattering of BPS monopoles at
low energy,
Nuclear Physics B 367 (1991) 177--214 .