Generalized twistor transform and dualities with a new description of particles with spin beyond free and massless
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 Z{sub A}=({mu}{sup {alpha}}; {lambda}{sub {alpha}};), thus predicting an infinite set of duality relations among spinning systems with different Hamiltonians. Usual 1Tphysics is not equipped to explain the duality relationships and unification between these systems. We use 2Tphysics 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.
 Authors:
 Department of Physics and Astronomy, University of Southern California, Los Angeles, California 900890484 (United States)
 Publication Date:
 OSTI Identifier:
 20935264
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.104015; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFORMAL INVARIANCE; DUALITY; FOURDIMENSIONAL CALCULATIONS; HAMILTONIANS; MANYDIMENSIONAL CALCULATIONS; MAPPING; SO4 GROUPS; SPIN; STRING MODELS; STRING THEORY; SU2 GROUPS; SYMMETRY
Citation Formats
Bars, Itzhak, and Orcal, Bora. Generalized twistor transform and dualities with a new description of particles with spin beyond free and massless. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.104015.
Bars, Itzhak, & Orcal, Bora. Generalized twistor transform and dualities with a new description of particles with spin beyond free and massless. United States. doi:10.1103/PHYSREVD.75.104015.
Bars, Itzhak, and Orcal, Bora. Tue .
"Generalized twistor transform and dualities with a new description of particles with spin beyond free and massless". United States.
doi:10.1103/PHYSREVD.75.104015.
@article{osti_20935264,
title = {Generalized twistor transform and dualities with a new description of particles with spin beyond free and massless},
author = {Bars, Itzhak and Orcal, Bora},
abstractNote = {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 Z{sub A}=({mu}{sup {alpha}}; {lambda}{sub {alpha}};), thus predicting an infinite set of duality relations among spinning systems with different Hamiltonians. Usual 1Tphysics is not equipped to explain the duality relationships and unification between these systems. We use 2Tphysics 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.},
doi = {10.1103/PHYSREVD.75.104015},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}

The Penrose transform between twistors and the phase space of massless particles is generalized from the massless case to an assortment of other particle dynamical systems, including special examples of massless or massive particles, relativistic or nonrelativistic, interacting or noninteracting, in flat space or curved spaces. Our unified construction involves always the same twistor Z{sup A} with only four complex degrees of freedom and subject to the same helicity constraint. Only the twistor to phase space transform differs from one case to another. Hence, a unification of diverse particle dynamical systems is displayed by the fact that they all sharemore »

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