Browsing by Author "Turner, Carl"

Now showing items 1-7 of 7

  • A matrix model for WZW 

    Dorey, Nicholas; Tong, David; Turner, Carl (SpringerJournal of High Energy Physics, 2016-08-01)
    We study a U($\small N$) gauged matrix quantum mechanics which, in the large $\small N$ limit, is closely related to the chiral WZW conformal field theory. This manifests itself in two ways. First, we construct the left-moving ...

  • ADHM and the 4d quantum Hall effect 

    Barns-Graham, A; Dorey, Nicholas; Lohitsiri, N; Tong, David; Turner, Carl (Journal of High Energy Physics, 2018-04-01)
    © 2018, The Author(s). Yang-Mills instantons are solitonic particles in d = 4 + 1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted to the lowest ...

  • Matrix model for non-Abelian quantum Hall states 

    Dorey, Nicholas; Tong, David; Turner, Carl (American Physical SocietyPhysical Review B, 2016-08-09)
    We propose a matrix quantum mechanics for a class of non-Abelian quantum Hall states. The model describes electrons which carry an internal SU($p$) spin. The ground states of the matrix model include spin-singlet generalizations ...

  • Non-abelian 3$D$ bosonization and quantum Hall states 

    Radičević, Ð; Tong, David; Turner, Carl (SpringerJournal of High Energy Physics, 2016-12-01)
    Bosonization dualities relate two different Chern-Simons-matter theories, with bosonic matter on one side replaced by fermionic matter on the other. We first describe a more general class of non-Abelian bosonization ...

  • On superconformal anyons 

    Doroud, Nima; Tong, David; Turner, Carl (SpringerJournal of High Energy Physics, 2016-01-22)
    In d = 2+1 dimensions, there exist field theories which are non-relativistic and superconformal. These theories describe two species of anyons, whose spins differ by 1/2, interacting in a harmonic trap. We compute the ...

  • The Quantum Hall Effect in Supersymmetric Chern-Simons Theories 

    Tong, David; Turner, Carl (APSPhysical Review B, 2015-12-15)
    We introduce a supersymmetric Chern-Simons theory whose low energy physics is that of the fractional quantum Hall effect. The supersymmetry allows us to solve the theory analytically. We quantise the vortices and, by ...

  • Vortices and Monopoles in a Harmonic Trap 

    Tong, David; Turner, Carl (SpringerJournal of High Energy Physics, 2015-12-15)
    The Ω-deformation is a harmonic trap, penning certain excitations near the origin in a manner consistent with supersymmetry. Here we explore the dynamics of BPS monopoles and vortices in such a trap. We pay particular ...