Supersymmetric two-time physics
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We construct an Sp(2,R) gauge invariant particle action which possesses manifest space-time SO(d,2) symmetry, global supersymmetry and kappa supersymmetry. The global and local supersymmetries are non-Abelian generalizations of Poincar\'e type supersymmetries and are consistent with the presence of two timelike dimensions. In particular, this action provides a unified and explicit superparticle representation of the superconformal groups OSp(N/4), SU(2,2/N) and $\mathrm{OSp}{(8}^{*}/\mathrm{N})$ which underlie various AdS-CFT dualities in M or string theory. By making diverse Sp(2,R) gauge choices our action reduces to diverse one-time physics systems, one of which is the ordinary (one-time) massless superparticle with superconformal symmetry that we discuss explicitly. We show how to generalize our approach to the case of superalgebras, such as OSp(1/32), which do not have direct space-time interpretations in terms of only zero branes, but may be realizable in the presence of p-branes.
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The 11-dimensional extended superalgebra provides a model-independent signal for 12 dimensions in M-theory with (10,2) signature.
“It was noted that this structure provides a model-independent signal for 12 dimensions in Mtheory with (10, 2) signature [13], since the 32 supercharges may be viewed as a Weyl spinor in 12 dimensions and the 528 bosonic charges may be viewed as a 2-form plus a self-dual 6-form in 12 dimensions,”
From Survey of two-time physics (2001) · cites this paper as [13]
The Discussion (pp. 15–16) describes an OSp(1/32) algebra relevant to M-theory in an SO(10,2) basis, with a 32-component spinor and two-form and six-form generators. It does not describe the 11-dimensional extended superalgebra as a model-independent signal for 12 dimensions, or state the count of 528 bosonic charges. (LLM, conf=0.84)
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Cites
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605 · see citing works
<i>AdS</i><sub>3</sub> black holes and a stringy exclusion principle
Maldacena, J., & Strominger, A. (1998) · Journal of High Energy Physics · doi:10.1088/1126-6708/1998/12/005 · Cited by 822 · see citing works
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Research works printed but not linked: 13
- [2][2] I. Bars, Phys. Rev. D58 ( 1998) 066006, or hep-th/9804028. - · arXiv
- [3][3] I. Bars and C. Deliduman, Phys. Rev. D58 (1998) 106004, or hep-th/9806085. - · arXiv
- [4][4] I. Bars, 'Two-Time Physics', hep-th/9809034, to appear in the proceedings of the XXIII rd Int. Colloq. on Group Theor. Methods in Physics, Hobart, Australia, July 1998, hep-th/9809034. - · arXiv
- [5][5] I. Bars, 'Hidden Symmetries, AdS D × S n , and the lifting of one-time physics to two-time physics', hep-th/9810025, to appear in Phys. Rev. D. - · arXiv
- [6][6] J. Maldacena, hep-th/9711200; S. S. Gubser, I. R. Klebanov and A. M. Polyakov, hep-th/9802109; E. Witten, hep-th/9802150. - · arXiv
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Sorted by citations
Bars, I. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/16/303 · Cited by 114 · see citing works
Self-citation
- Authors
- Bars, I., Deliduman, C., & Minic, D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1999-05-07
- Volume
- 59
- Issue
- 12
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W1984878952
- Cited by
- 63
- References
- 2
- Citations by year
- 2025: 3 · 2024: 4 · 2023: 2 · 2022: 1 · 2020: 2 · 2019: 3 · 2015: 1
- FWCI
- 5.60
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- two-time physics, supersymmetry, kappa-symmetry, superparticle, superconformal symmetry, AdS/CFT correspondence, M-theory, string theory, superalgebras, p-branes
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