2007

Generalized Twistor Transform And Dualities, With A New Description of Particles With Spin, Beyond Free and Massless

Bars, Itzhak, Orcal, Bora

Understand

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.

Built on

I. Bars and A. Hanson, Phys. Rev. D13
1976
Earlier work this paper cites.
R. Penrose, “Twistor Algebra,” J. Math. Phys. 8
1977
Earlier work this paper cites.
A. Ferber, Nucl. Phys. B 132 (1977) 55
1977
Earlier work this paper cites.
R. Casalbuoni, Phys. Lett. 62B (1976) 49; ibid. Nuovo Cimento 33A (1976) 389; L. Brink and J. Schwarz, Phys. Lett. 100B (1981) 310
1981
Earlier work this paper cites.
T. Shirafuji, “Lagrangian Mechanics of Massless Particles with Spin,” Prog. Theor. Phys. 70
1983
Earlier work this paper cites.
R. Penrose and M.A. MacCallum, “An approach to the quantization of fields and space-time”, Phys. Rept. C6
1986
Earlier work this paper cites.
V.G. Zima, S. Fedoruk, “Spinor (super)particle with a commuting index spinor”, JETP Lett. 61
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Earlier work this paper cites.
I. Bars and C. Deliduman, Phys. Rev. D58
1998
Earlier work this paper cites.

Similar

I. Bars, C. Deliduman and D. Minic, “Supersymmetric Two-Time Physics ”,
1999
Cited alongside, same era.
I. Bars, “Conformal symmetry and duality between free particle, H-atom and harmonic oscillator”, Phys. Rev. D58
1999
Cited alongside, same era.
I. Bars, C. Deliduman and O. Andreev, “ Gauged Duality, Conformal Symmetry and Spacetime with Two Times” , Phys. Rev. D58
2001
Cited alongside, same era.
I. Bars, “ Hidden 12-dimensional structures in AdS 5
2002
Cited alongside, same era.
F. Cachazo, P. Svrcek and E. Witten, “ MHV vertices and tree amplitudes in gauge theory”, JHEP 0409
2004
Cited alongside, same era.
M. A. Vasiliev, JHEP 12
2004
Cited alongside, same era.
I. Bars, “Twistor superstring in 2T-physics,” Phys. Rev. D70
2004
Cited alongside, same era.
I. Bars, “ 2T physics formulation of superconformal dynamics relating to twistors and supertwistors,” Phys. Lett. B 483
2005
Cited alongside, same era.
I. Bars and B. Orcal, in preparation
Cited in the paper.
I. Bars, Y-C. Kuo, “Field Theory in 2T-physics with N = 1 N=1 supersymmetry”, arXiv:hep-th/0702089; ibid. “Supersymmetric 2T-physics field theory”, arXiv:hep-th/0703002
Cited in the paper.
S. Fedoruk, E. Ivanov, “New model of higher-spin particle,” [hep-th/0701177]
Cited in the paper.
I. Bars and Y-C. Kuo, “Interacting two-time Physics Field Theory with a BRST gauge Invariant Action”, hep-th/0605267
Cited in the paper.

Then

For a review of Super Yang-Mills computations and a complete set of references see: F.Cachazo and P.Svrcek, “Lectures on twistor strings and perturbative Yang-Mills theory,” PoS RTN2005
2005
Later among the works it cites.
I. Bars, “Twistors and 2T-physics,” AIP Conf. Proc. 767
2005
Later among the works it cites.
I. Bars and M. Picon, “Single twistor description of massless, massive, AdS, and other interacting particles,” Phys. Rev. D73
2006
Later among the works it cites.
I. Bars, “Lectures on twistors,” [arXiv:hep-th/0601091], appeared in Superstring Theory and M-theory
2006
Later among the works it cites.
I. Bars, “The standard model of particles and forces in the framework of 2T-physics”, Phys. Rev. D74
2006
Later among the works it cites.
S. Fedoruk, J. Lukierski, “Massive relativistic particle models with bosonic counterpart of supersymmetry,” Phys.Lett. B632
2006
Later among the works it cites.
S. Fedoruk, E. Ivanov, “Master Higher-spin particle,” Class. Quant. Grav. 23
2006
Later among the works it cites.
S. Fedoruk, E. Ivanov, J. Lukierski, “Massless higher spin D=4 superparticle with both N=1 supersymmetry and its bosonic counterpart,” Phys. Lett. B641
2006
Later among the works it cites.

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