2010

Constraints on Interacting Scalars in 2T Field Theory and No Scale Models in 1T Field Theory

Bars, Itzhak

Understand

In this paper I determine the general form of the physical and mathematical restrictions that arise on the interactions of gravity and scalar fields in the 2T field theory setting, in d+2 dimensions, as well as in the emerging shadows in d dimensions.

These constraints on scalar fields follow from an underlying Sp(2,R) gauge symmetry in phase space.
Determining these general constraints provides a basis for the construction of 2T supergravity, as well as physical applications in 1T-field theory, that are discussed briefly here, and more detail elsewhere.
In particular, no scale models that lead to a vanishing cosmological constant at the classical level emerge naturally in this setting.

Built on

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Similar

J. Ellis, C. Kounnas, and D. Nanopoulos, “No scale supersymmetric GUTs”, Nucl. Phys. B247
1984
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For a review of the linear multiplet see: J.P. Derendinger and F. Quevedo, “The linear multiplet and quantum four-dimensional string effective actions”, Nucl. Phys. B428
1994
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I. Bars and C. Deliduman, Phys. Rev. D58
1998
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I. Bars, C. Deliduman and D. Minic, “Supersymmetric Two-Time Physics ”,
1999
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Cited alongside, same era.
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Cited alongside, same era.
I. Bars, “Two time physics with gravitational and gauge field backgrounds”, Phys. Rev. D62
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Cited alongside, same era.
I. Bars, “u ( 1 , 1 ) ∗ {}_{\ast}\left(1,1\right) non-commutative gauge theory as the foundation of 2T-physics in field theory”, Phys. Rev. D64 (2001) 126001 [hep-th/0106013]. I. Bars and S. Rey, “Noncommutative Sp(2,R) gauge theories: A Field theory approach to two time physics.”, Phys. Rev. D64 (2001) 046005 [hep-th/0104135]
2001
Cited alongside, same era.

Then

I. Bars, “Twistor superstring in 2T-physics,” Phys. Rev. D70
2004
Later among the works it cites.
M. A. Vasiliev, JHEP 12
2004
Later among the works it cites.
I. Bars, “ 2T physics formulation of superconformal dynamics relating to twistors and supertwistors,” Phys. Lett. B 483
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, “The standard model of particles and forces in the framework of 2T-physics”, Phys. Rev. D74
2006
Later among the works it cites.
I. Bars and Y.C. Kuo, “Field theory in 2T-physics with N = 1 N=1 supersymmetry” Phys. Rev. Lett. 99
2007
Later among the works it cites.
I. Bars, S-H. Chen and G. Quelin, “Dual Field Theories in (d-1)+1 Emergent Spacetimes from a Unifying Field Theory in d+2 Spacetime,” Phys. Rev. D76
Original
2007
Later among the works it cites.
I. Bars, “Gravity in 2T-Physics”, Phys. Rev. D77
Original
2008
Later among the works it cites.
I. Bars and S-H Chen, “Geometry and Symmetry Structures in 2T Gravity”, Phys. Rev. D79 (2009) 085021 [arXiv:0811.2510 (hep-th)]
Original
2009
Later among the works it cites.
I. Bars and Y.C. Kuo, “N=2,4 Supersymmetric Gauge Field Theory in 2T-physics” Phys. Rev. D79
Original
2009
Later among the works it cites.
M. Cicoli, C.P. Burgess and F. Quevedo, “Fibre inflation: observable gravity waves from IIB string compactifications”, JCAP 03
Original
2009
Later among the works it cites.
W. Siegel, Int. J. Mod. Phys. A3
2015
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