Applied Mathematics Group:
Recent publications

• Figueroa-O'Farrill J.M. & Simón J., Supersymmetric Kaluza--Klein reductions of M-waves and MKK-monopoles, [hep-th/0208108]
• Figueroa-O'Farrill J.M. & Simón, J., Supersymmetric Kaluza--Klein reductions of M2- and M5-branes, [hep-th/0208107]
• Blau M, Figueroa-O'Farrill J.M. & Papadopoulos G., Penrose limits, supergravity and brane dynamics, [hep-th/0202111]
• Figueroa-O'Farrill J.M. & Stanciu S., Appendix in An illustrated guide to D-branes in SU(3), [hep-th/0111221]
• de Medeiros P., Figueroa-O'Farrill J.M., Hull C.M. and Spence B., Conformal symmetry in topological Yang--Mills theory, [hep-th/0111190]
• Figueroa-O'Farrill J.M. Maximal supersymmetry in ten and eleven dimensions, [math.DG/0109162]
• Ruffert M. & Janka H.-Th., Coalescing neutron stars - a step towards physical models III. Improved numerics and different neutron star masses and spins [astro-ph/0106229] (high res)
• H. W. Braden & Nikita A. Nekrasov, Space-time Foam from Noncommutative Instantons, [hep-th/9912019]
• H. W. Braden, A. Marshakov, A. Mironov & A. Morozov, On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2), [hep-th/9906240]

• Blau M, Figueroa-O'Farrill J.M., Hull C.M. & Papadopoulos G., Classical and Quantum Gravity 19, L87-L95. Penrose limits and maximal supersymmetry, [hep-th/0201081]
• Blau M, Figueroa-O'Farrill J.M., Hull C.M. & Papadopoulos G., A new maximally supersymmetric background of IIB superstring theory, JHEP 01, 047. [hep-th/0110242]

• Figueroa-O'Farrill J.M. & Stanciu S., D-brane charge, flux quantisation and relative (co)homology, JHEP 01, 006. [hep-th/0008038]
• Figueroa-O'Farrill J.M. & Papadopoulos G., Homogeneous fluxes, branes and a maximally supersymmetric solution of M-theory, JHEP 08, 036. [hep-th/0105308]
• Figueroa-O'Farrill J.M. & Simón J., Generalised supersymmetric fluxbranes, JHEP 12, 011. [hep-th/0110170]

• Figueroa-O'Farrill J.M. & Stanciu S., D-branes in AdS₃ x S³ x S³ x S¹, JHEP 04, 005. [hep-th/0001199]
• Figueroa-O'Farrill J.M., More Ricci-flat branes, Phys. Lett. B471, 128-132. [hep-th/9910086]
• Figueroa-O'Farrill J.M. & Stanciu S., More D-branes in the Nappi-Witten background, JHEP 01, 024. [hep-th/9909164]
• Figueroa-O'Farrill J.M., Breaking the M-waves, Classical and Quantum Gravity 17, 2925-2947. [hep-th/9904124]
• Figueroa-O'Farrill J.M., Intersecting brane geometries, J of Geometry and Physics 35, 99-125. [hep-th/9806040]

• Vanneste J., Enhanced dissipation for quasi-geostrophic motion over small-scale topography, J. Fluid Mech., 407, 105-122.
• Vanneste J. & Haynes P. H. Intermittent mixing in strongly stratified fluids as a random walk, J. Fluid Mech., 411 , 165-185.
• Vanneste J. Rossby-wave frequency change induced by small-scale topography, J. Phys. Oceanogr., 30 , 1820--1826.

• H. W. Braden, A. Marshakov, A. Mironov & A. Morozov, The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory, Nucl. Phys. B558, 371-390. [hep-th/9902205]
• H. W. Braden, A. Marshakov, A. Mironov & A. Morozov, Seiberg-Witten Theory for a Nontrivial Compactification from Five-Dimensions to Four-Dimensions, Phys. Lett. B448, 195-202. [hep-th/9812078]
• H. W. Braden & J. G. B. Byatt-Smith, On a Functional Differential Equation of Determinantal Type, Bull. London Math. Soc. 31, 463-470, 1999. [math/9804082]

• Figueroa-O'Farrill J.M., On the supersymmetries of anti de Sitter vacua, Class. Quantum Gravity 16, 2043-2055. [hep-th/9902066]
• Figueroa-O'Farrill J.M. & Stanciu S., Appendix in D-branes in an AdS₃ background, JHEP 09, 028. [hep-th/9901122]
• Figueroa-O'Farrill J.M., Gauge theory and the division algebras, J. Geom. Physics 32, 227-240. [hep-th/9710168]

• Porubov A.V. & Parker D.F., Some general periodic solutions to coupled nonlinear Schrödinger equations, Wave Motion, 29, 97-109.

• Janka H.-Th., Eberl Th., Ruffert M., & Fryer C., Black Hole - Neutron Star Mergers as Central Engines of Gamma-Ray Bursts, Astrophys. J. Lett. 527, L39-L42. [astro-ph/9908290]
• Foglizzo T. & Ruffert M., An analytic study of Bondi-Hoyle-Lyttleton accretion II. Local Stability Analysis, Astron. & Astrophys. 347, 901-914. [astro-ph/9905226]
• Ruffert M., Non-Axisymmetric Wind-Accretion Simulations. II. Density Gradients, Astron. & Astrophys. 346, 861-877. [astro-ph/9903304]
• Ruffert M. & Janka H.-Th., Gamma-ray bursts from accreting black holes in neutron star mergers, Astron. & Astrophys. 344, 573-606. [astro-ph/9809280]

• Vanneste J. & Shepherd T. G., On wave action and phase in the non-canonical Hamiltonian formulation, Proc. R. Soc. London A 455, 3-21.
• Vanneste J., A spatial analogue of transient growth in plane Couette flow, J. Fluid Mech., 397 , 317--330.
  

• H. W. Braden & V. Varela, The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $\sigma$ Models, Phys. Rev. D58, 124020. [hep-th/9804204]
• H. W. Braden, A Conjectured R-Matrix, J. Phys. A31, 1733-1741. [solv-int/9710011]
• H. W. Braden, The Equation $A\sp{T}X-X\sp{T}A=B$, Siam J. Matrix Anal. Appl. 20, 395-402. [Siam J. Matrix Anal. Appl.]

• Acharya B.S., Figueroa-O'Farrill J.M., Hull C.M. & Spence B., Branes at conical singularities and holography, Adv. Theor. Math. Phys. 2, 1249-1286. [hep-th/9808014]
• Acharya B.S., Figueroa-O'Farrill J.M., Spence B. & Stanciu S., Planes, branes and automorphisms: II. Branes in motion, JHEP 7, 005. [hep-th/9805176]
• Acharya B.S., Figueroa-O'Farrill J.M. & Spence B., Planes, branes and automorphisms: I. Static branes, JHEP 7, 004. [hep-th/9805073]
• Acharya B.S., Figueroa-O'Farrill J.M. & Spence B., Intersecting branes and calibrated geometry, JHEP 4, 012. [hep-th/9803260]
• Figueroa-O'Farrill J.M., Koehl C. & Spence B., Supersymmetric Yang--Mills, octonionic instantons and triholomorphic curves, Nucl. Phys. B521, 419-443. [hep-th/9710082]
• Figueroa-O'Farrill J.M., Imaanpur A. & McCarthy J., Supersymmetry and gauge theory on Calabi--Yau 3-folds, Phys. Lett. B419, 167. [hep-th/9709178]
• Acharya B.S., Figueroa-O'Farrill J.M., O'Loughlin M. & Spence B., Euclidean D-branes and higher-dimensional gauge theory, Nucl. Phys. B514, 583-602. [hep-th/9707118]

• Aarseth S.J. & Heggie D.C., Basic N-body modelling of the evolution of globular clusters - I. Time scaling, MNRAS, 297, 794-806.

• Hutchings D. C., Arnold J. M. & Parker D. F., Stationary mixed polarization spatial solitons and their stability in semiconductor waveguides, Phys. Rev. E, 6649-6658.
• Nemeth S. Z. & Parker D. F., Some unsteady plane motions for the Navier-Stokes equations, A.R.I., 50, 161-168.
• Parker D. F., Exact representations for coupled bright and dark solitary waves of quadratically nonlinear systems, J. Opt. Soc. Am., 15, 1061-1068.
• Parker D. F. & J.K. Hunter, Scale Invariant Surface Waves, Rendiconti Circ. Mat. Palermo, Series II, Suppl. 57, 381-192.
• Parker D. F. & Tsoy E. N., Solitary and periodic pulses for chi(2): Explicit solutions in abundance, in Advanced Photonics with Second-order Optically Nonlinear Processes, (eds. A.D. Boardman et al.), Kluwer, 209-214.

• Ruffert M. & Janka H.-Th., Colliding neutron stars -- gravitational waves, neutrino emission, and gamma-ray bursts, Astron. & Astrophys. 338, 535-555. [astro-ph/9804132]
• Rampp M., Müller E.& Ruffert M., Simulations of non-axisymmetric rotational core collapse supernovae, Astron. & Astrophys. 332, 969-983. [astro-ph/9711122]

• Vanneste J., A nonlinear critical layer generated by the interaction of free Rossby waves, J. Fluid Mech. 371, 319-344.
• Vanneste J., Morrison P. J. & Warn T., Strong echo effect and nonlinear transient growth in shear flows, Phys. Fluids 10, 1398-1404.
• Bokhove O., Vanneste J. & Warn T., A variational formulation for barotropic quasi-geostrophic flows, Geophys. Astrophys. Fluid Dyn. 88, 67-79.

• H. W. Braden, R-Matrices, Generalized Inverses and Calogero-Moser-Sutherland Models, To appear in the "Proceedings of the Workshop on Calogero-Moser-Sutherland models" in the CRM Series in Mathematical Physics published by Springer-Verlag. [97-017]
• H. W. Braden & Ryu Sasaki, The Ruijsenaars-Schneider Model, Prog. Theor. Phys. 97, 1003-1018. [hep-th/9702182]
• H. W. Braden & P.M. Sutcliffe, A Monopole Metric, Phys. Lett. B391, 366-373. [hep-th/9610141]
• H. W. Braden & V. M. Buchstaber, The General Analytic Solution of a Functional Equation of Addition type, Siam. J. Math. Anal. 28, 903-923. [funct-an/9508002]
• H. W. Braden & V. M. Buchstaber, Integrable Systems with Pairwise Interactions and Functional Equations, Reviews in Mathematics and Mathematical Physics 10, 121-166. [hep-th/9411240]

• Figueroa-O'Farrill J.M., Koehl C. & Spence B., Supersymmetry and the cohomology of (hyper)Kaehler manifolds, Nucl. Phys. B503, 614-626. [hep-th/9705161]
• Figueroa-O'Farrill J.M., A note on the extended superconformal algebras associated with manifolds of exceptional holonomy, Phys. Lett. B392, 77-84. [hep-th/9609113]
• Figueroa-O'Farrill J.M. & Stanciu S., Nonreductive WZW models and their Conformal field theories, II: N=1 and N=2 cosets, Nucl. Phys. B484, 583-608. [hep-th/9605111]
• Figueroa-O'Farrill J.M., Kimura T. & Vaintrob A., The universal Vassiliev invariant for the Lie superalgebra gl(1|1), Comm. Math. Phys. 185, 93-127. [q-alg/9602024]
• Figueroa-O'Farrill J.M. & Stanciu S., N=1 and N=2 cosets via gauged supersymmetric WZW models, Mod. Phys. Lett. A12, 1677-1685. [hep-th/9511229]
• Figueroa-O'Farrill J.M., N=2 structures in all string theories, J. Math. Phys. 38, 5559-5575. [hep-th/9507145]

• Meylan G. & Heggie, D. C., Internal dynamics of globular clusters, A&A Rev, 8, 1-143.
• Heggie D.C., Comparative assessment of N-body and continuum models, in Proc IAU JD15, IAU GA 23.
• Ross D.J., Mennim A. & Heggie D.C., Escape from a tidally limited star cluster, MNRAS, 284, 811-814.
• Giersz M. & Heggie D.C., Statistics of N-body simulations - IV. Unequal masses with a tidal field, MNRAS, 286, 709-731.
• Vesperini E. & Heggie D.C., On the effects of dynamical evolution on the initial mass function of globular clusters, MNRAS, 289, 898-920.

• Peng W. & Parker D. F., An ideal jet impinging on an uneven wall, J. Fluid Mech., 333, 231-255.

• Ruffert M., Rampp M. & Janka H.-Th., Coalescing Neutron Stars -- Gravitational Waves From Polytropic Models, Astron. & Astrophys. 321, 991-1006. [astro-ph/9611056]
• Foglizzo T. & Ruffert M., An Analytic Study of Bondi-Hoyle-Lyttleton Accretion. I. Stationary Flows, Astron. & Astrophys. 320, 342-361. [astro-ph/9604160]
• Ruffert M., Janka H.-Th., Takahashi K. & Schäfer G., Coalescing Neutron Stars -- A Step Towards Physical Models. II. Neutrino Emission, Neutron Tori, and Gamma-Ray Bursts, Astron. & Astrophys. 319, 122-153. [astro-ph/9606181]
• Ruffert M., Non-Axisymmetric Wind-Accretion Simulations. I. Velocity Gradients,
  Astron. & Astrophys. 317, 793-814. [astro-ph/9605072]

• Vanneste J., On the derivation of fluxes in conservation laws of Hamiltonian systems, I.M.A. J. Appl. Math. 59, 211-220.
• Vanneste J. & Shepherd T.G., On the group-velocity property for wave-activity conservation laws, J. Atmos. Sci., 55, 1063-1068.