Browsing by Author "Townsend, Paul Kingsley"
Now showing items 1-12 of 12
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Anti-de Sitter Particles and Manifest (Super)Isometries.
Arvanitakis, Alexandros-Spyridon; Barns-Graham, Alexander; Townsend, Paul Kingsley (American Physical SocietyPhysical Review Letters, 2017-04-07)Starting from the classical action for a spin-zero particle in a D-dimensional anti-de Sitter (AdS) spacetime, we recover the Breitenlohner-Freedman bound by quantization. For D=4, 5, 7 and using an Sl(2;K) spinor notation ...
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Gravity and the spin-2 planar Schroedinger equation
Townsend, Paul Kingsley; Bergshoeff, Eric A; Rosseel, JanA Schroedinger equation proposed for the GMP gapped spin-2 mode of fractional Quantum Hall states is found from a novel non-relativistic limit, applicable only in 2+1 dimensions, of the massive spin-2 Fierz-Pauli ...
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Minimal Massive 3D Gravity Unitarity Redux
Arvanitakis, Alex S; Townsend, Paul Kingsley (IOPClassical and Quantum Gravity, 2015-02-26)A geometrical analysis of the bulk and anti-de Sitter boundary unitarity conditions of 3D “Minimal Massive Gravity” (MMG) (which evades the “bulk/boundary clash” of Topologically Massive Gravity) is used to extend and ...
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On nonrelativistic 3D spin-1 theories
Townsend, Paul Kingsley; Bergshoeff, Eric A; Rosseel, JanWe describe non-relativistic limits of the 3D Proca and $\sqrt{\rm Proca}$ theories that yield spin-1 Schroedinger equations. Analogous results are found by generalized null reduction of the 4D Maxwell or complex self-dual ...
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Pauli-Lubanski, supertwistors, and the superspinning particle
Arvanitakis, AS; Mezincescu, L; Townsend, Paul Kingsley (Springer NatureJournal of High Energy Physics, 2017-06-28)We present a novel construction of the super-Pauli-Lubanski pseudo-vector for 4D supersymmetry and show how it arises naturally from the spin-shell constraints in the supertwistor formulation of superparticle dynamics. We ...
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Tachyons in the Galilean limit
Batlle, C; Gomis, J; Mezincescu, L; Townsend, Paul Kingsley (SpringerJournal of High Energy Physics, 2017-04-20)The Souriau massless Galilean particle of “colour” k and spin s is shown to be the Galilean limit of the Souriau tachyon of mass m = ik and spin s. We compare and contrast this result with the Galilean limit of the Nambu-Goto ...
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The Galilean superstring
Gomis, J; Townsend, Paul Kingsley (SpringerJournal of High Energy Physics, 2017-02-21)The action for a Galilean superstring is found from a non-relativistic limit of the closed Green-Schwarz (GS) superstring; it has zero tension and provides an example of a massless super-Galilean system. A Wess-Zumino term ...
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The third way to 3D gravity
Bergshoef, Eric; Merbis, Wout; Routh, Alasdair J; Townsend, Paul Kingsley (World ScientificInternational Journal of Modern Physics D, 2015-10-09)Consistency of Einstein’s gravitational field equation Gµν ∝ Tµν imposes a “conservation condition” on the T-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion, and ...
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Twistor description of spinning particles in AdS
Arvanitakis, AS; Barns-Graham, AE; Townsend, Paul Kingsley (Springer NatureJournal of High Energy Physics, 2018-01-01)The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance under the AdS isometry group Sp(4;K) for K=R,C,H,, is generalized to the massless N-extended ...
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Twistor form of massive 6D superparticle
Routh, Alasdair; Townsend, Paul Kingsley (IOP ScienceJournal of Physics A, 2015-12-16)The massive six-dimensional (6D) superparticle with manifest (n, 0) supersymmetry is shown to have a supertwistor formulation in which its “hidden” (0, n) supersymmetry is also manifest. The mass-shell constraint is replaced ...
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Twistors and the massive spinning particle
Mezincescu, Luca; Routh, Alasdair J; Townsend, Paul Kingsley (IOP ScienceJournal of Physics A: Mathematical and Theoretical, 2015-12-07)Gauge-invariant twistor variables are found for the massive spinning particle with N-extended local worldline supersymmetry, in spacetime dimensions D = 3, 4, 6. The twistor action is manifestly Lorentz invariant but the ...
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Worldline CPT and massless supermultiplets
Arvanitakis, Alexandros-Spyridon; Mezincescu, L; Townsend, Paul Kingsley (World Scientific PublishingInternational Journal of Modern Physics A, 2016-09-30)The action for a massless particle in 4D Minkowski space–time has a worldline-time reversing symmetry corresponding to CPT invariance of the quantum theory. The analogous symmetry of the $\mathscr{N}$-extended superparticle ...