School of Mathematics: Recent submissions

Now showing items 381-393 of 393

    • New hyper-Kaehler manifolds by fixing monopoles 

      HOUGHTON, CONOR JAMES (American Physical Society, 1997)
      The construction of new hyper-Ka?hler manifolds by taking the infinite monopole mass limit of certain Bogomol?nyi-Prasad-Sommerfield monopole moduli spaces is considered. The one-parameter family of hyper- Ka?hler manifolds ...

    • Instanton vibrations of the 3-Skyrmion 

      HOUGHTON, CONOR JAMES (American Physical Society, 1999)
      The Atiyah-Drinfeld-Hitchin-Manin matrix corresponding to a tetrahedrally symmetric 3-instanton is calculated. Some small variations of the matrix correspond to vibrations of the instanton-generated 3-Skyrmion. These ...

    • On the constraints defining BPS monopoles 

      HOUGHTON, CONOR JAMES (Springer Science and Business Media, 2000)
      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 Sinha. We obtain an improved version of the ...

    • Nahm data and the mass of 1/4-BPS states 

      HOUGHTON, CONOR JAMES (American Physical Society, 2000)
      The mass of 1 / 4-BPS dyonic configurations in N=4 D=4 supersymmetric Yang-Mills theories is calculated within the Nahm formulation. The SU(3) example, with two massive monopoles and one massless monopole, is considered ...

    • Folding in the Skyrme model. 

      HOUGHTON, CONOR JAMES (American Institute of Physics, 2001)
      There are only three stable singularities of a differentiable map between three-dimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU2, and its singularities correspond ...

    • Multicloud solutions with massless and massive monopoles. 

      HOUGHTON, CONOR JAMES (American Physical Society, 2002)
      Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding ...

    • Icosahedral Skyrmions 

      HOUGHTON, CONOR JAMES (American Institute of Physics, 2003)
      In this article we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions with the dual of polyhedra that minimize ...

    • Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold 

      HOUGHTON, CONOR JAMES (IOP, 1996)
      We consider 3-monopoles symmetric under inversion symmetry. We show that the moduli space of these monopoles is an Atiyah?Hitchin submanifold of the 3-monopole moduli space. This allows what is known about 2-monopole ...

    • A zero-mode quantization of the Skyrmion 

      HOUGHTON, CONOR JAMES (Elsevier, 2006)
      In the semi-classical approach to the Skyrme model, nuclei are approximated by quantum mechanical states on a finite-dimensional space of field configurations; in zero-mode quantization this space is generated by rotations ...

    • Pulsation and precession of the resonant swinging spring 

      HOUGHTON, CONOR JAMES (Elsevier, 2004)
      When the frequencies of the elastic and pendular oscillations of an elastic pendulum or swinging spring are in the ratio 2:1, there is a regular exchange of energy between the two modes of oscillation. We refer to this ...

    • The effect of pion mass on Skyrme configurations 

      HOUGHTON, CONOR JAMES (2007)
      In the Skyrme model, atomic nuclei are identified with solitonic configurations. If the pion mass is set to zero, these configurations are spherical shells of energy with a fullerene-like appearance and are well approximated ...