Generalized Twistor Transform And Dualities, With A New Description of Particles With Spin, Beyond Free and Massless
arXiv:0704.0296 · doi:10.1103/PhysRevD.75.104015
Abstract
A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor, thus predicting an infinite set of duality relations among spinning systems with different Hamiltonians. Usual 1T-physics is not equipped to explain the duality relationships and unification between these systems. We use 2T-physics in 4+2 dimensions to uncover new properties of twistors, and expect that our approach will prove to be useful for practical applications as well as for a deeper understanding of fundamental physics. Unexpected structures for a new description of spinning particles emerge. A unifying symmetry SU(2,3) that includes conformal symmetry SU(2,2)=SO(4,2) in the massless case, turns out to be a fundamental property underlying the dualities of a large set of spinning systems, including those that occur in high spin theories. This may lead to new forms of string theory backgrounds as well as to new methods for studying various corners of M theory. In this paper we present the main concepts, and in a companion paper we give other details.
33 pages
References in corpus (27)
- MHV Vertices And Tree Amplitudes In Gauge Theory
- Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
- Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
- Gauged Duality, Conformal Symmetry, and Spacetime with Two Times
- Higher Spin Superalgebras in any Dimension and their Representations
- Survey of Two-Time Physics
- The Standard Model of Particles and Forces in the Framework of 2T-physics
- Lifting M-theory to Two-Time Physics
- Supersymmetric Two-Time Physics
- Conformal Symmetry and Duality between Free Particle, H-atom and Harmonic Oscillator
- Hidden Symmetries, AdS_D x S^n, and the lifting of one-time-physics to two-time-physics
- Twistor Superstring in 2T-Physics
- Single twistor description of massless, massive, AdS, and other interacting particles
- Gauge symmetry in phase space with spin, a basis for conformal symmetry and duality among many interactions
- 2T Physics Formulation of Superconformal Dynamics Relating to Twistors and Supertwistors
- Twistor Transform in d Dimensions and a Unifying Role for Twistors
- Interacting Two-Time Physics Field Theory With a BRST Gauge Invariant Action
- Field Theory in 2T-physics with N=1 Supersymmetry
- 2T-Physics 2001
- Massless higher spin D=4 superparticle with both N=1 supersymmetry and its bosonic counterpart
- Hidden 12-dimensional structures in AdS(5)xS(5) and M(4)xR(6) Supergravities
- Twistors and 2T-physics
- Master Higher-Spin Particle
- A Mysterious Zero in AdS(5) x S(5) Supergravity
- Massive Relativistic Particle Models with Bosonic Counterpart of Supersymmetry
- Lectures on Twistors
- New Model of Higher-Spin Particle
Cited by in corpus (9)
- Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime
- Relativistic Harmonic Oscillator Revisited
- Higher Spin Fields in Siegel Space, Currents and Theta Functions
- 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
- Bosonized supersymmetry from the Majorana-Dirac-Staunton theory and massive higher-spin fields
- Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory
- Generalized Dualities in 1T-Physics as Holographic Predictions from 2T-Physics
- N=2,4 Supersymmetric Gauge Field Theory in 2T-physics