2T Physics Formulation of Superconformal Dynamics Relating to Twistors and Supertwistors

Abstract

The conformal symmetry SO(d,2) of the massless particle in d dimensions, or superconformal symmetry OSp(N|4), SU(2,2|N), OSp(8|N) of the superparticle in d=3,4,6 dimensions respectively, had been previously understood as the global Lorentz symmetry and supersymmetries of 2T physics in d+2 dimensions. By utilising the gauge symmetries of 2T physics, it is shown that the dynamics can be cast in terms of superspace coordinates, momenta and theta variables or in terms of supertwistor variables a la Penrose and Ferber. In 2T physics these can be gauge transformed to each other. In the supertwistor version the quantization of the model amounts to the well known oscillator formalism for non-compact supergroups.

Latex, 13 pages. More references added

References in corpus (7)

• Lifting M-theory to Two-Time Physics
• Two-Time Physics in Field Theory
• Two-Time Physics with gravitational and gauge field backgrounds
• A Simple Particle Action from a Twistor Parametrization of AdS_5
• Strings, Branes and Two-Time Physics
• Short representations of SU(2,2/N) and harmonic superspace analyticity
• Examples of Black Holes in Two-Time Physics

Cited by in corpus (28)

• Conformal Higher Spin Symmetries of 4d Massless Supermultiplets and $osp(L,2M)$ Invariant Equations in Generalized (Super)Space
• The Standard Model of Particles and Forces in the Framework of 2T-physics
• BPS states in M-theory and twistorial constituents
• High Spin Gauge Fields and Two-Time Physics
• Twistor Superstring in 2T-Physics
• Supersymmetric null-surfaces
• Single twistor description of massless, massive, AdS, and other interacting particles
• Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime
• Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics
• Generalized Space-time Supersymmetries, Division Algebras and Octonionic M-theory
• Twistor Transform in d Dimensions and a Unifying Role for Twistors
• U*(1,1) Noncommutative Gauge Theory As The Foundation of 2T-Physics in Field Theory
• Supersymmetric string model with 30 kappa--symmetries in an extended D=11 superspace and 30/ 32 BPS states
• Dual Field Theories In (d-1)+1 Emergent Spacetimes From A Unifying Field Theory In d+2 Spacetime
• Dualities among 1T-Field Theories with Spin, Emerging from a Unifying 2T-Field Theory
• Hidden 12-dimensional structures in AdS(5)xS(5) and M(4)xR(6) Supergravities
• Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory
• A Mysterious Zero in AdS(5) x S(5) Supergravity
• Supersymmetric Field Theory in 2T-physics
• Generalized Dualities in 1T-Physics as Holographic Predictions from 2T-Physics
• Generalized Twistor Transform And Dualities, With A New Description of Particles With Spin, Beyond Free and Massless
• The symmetry algebras of Euclidean M-theory
• Octonionic M-theory and D=11 generalized conformal and superconformal algebras
• N=2,4 Supersymmetric Gauge Field Theory in 2T-physics
• BPS preons and the AdS-M-algebra
• 2T Physics and Quantum Mechanics
• Oscillator approach to quantization of $Ad{S}_5\times S^5$ superparticle in twistor formulation
• Dual Quantum Mechanics