# 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 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.

- Authors:

- Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484 (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; FOUR-DIMENSIONAL CALCULATIONS; HAMILTONIANS; MANY-DIMENSIONAL CALCULATIONS; MAPPING; SO-4 GROUPS; SPIN; STRING MODELS; STRING THEORY; SU-2 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 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.},

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}

}