Survey of two time physics

Two-time physics (2T) is a general reformulation of one-time physics (1T) that displays previously unnoticed hidden symmetries in 1T dynamical systems and establishes previously unknown duality type relations among them. This may play a role in displaying the symmetries and constructing the dynamics of little understood systems, such as M-theory. 2T physics describes various 1T dynamical systems as different d-dimensional ``holographic'' views of the same 2T system in

d+2

dimensions. The ``holography'' is due to gauge symmetries that tend to reduce the number of effective dimensions. Different 1T evolutions (i.e. different Hamiltonians) emerge from the same 2T theory when gauge fixing is done with different embeddings of d dimensions inside d+2 dimensions. Thus, in the 2T setting, the distinguished 1T which we call ``time'' is a gauge dependent concept. The 2T action has also a global SO(d,2) symmetry in flat spacetime, or a more general d+2 symmetry in curved spacetime, under which all dimensions are on an equal footing. This symmetry is observable in many 1T systems, but it remained unknown until discovered in the 2T formalism. 2T physics has mainly been developed in the context of particles, including spin and supersymmetry, but some advances have also been made with strings and p-branes, and insights for M-theory have already emerged. In the case of particles, there exists a general worldline formulation with background fields, as well as a field theory formulation, both described in terms of fields that depend on d+2 coordinates. The Standard Model of particle physics can be regarded as a gauge fixed form of a 2T theory in 4+2 dimensions. These facts already provide evidence for a new type of higher dimensional unification.

Note:

Latex, 22 pages, 1 figure Report-no: CITUSC/00-048

talk: Los Angeles 2000/03
talk: Vitoria 2000/04/25
talk: Moscow 2000/06/05
talk: Copenhagen 2000/06/19
talk: Istanbul 2000/06/19
space-time: signature
M-theory
string model
time
holography

References(50)

Figures(0)

Gauged duality, conformal symmetry and space-time with two times

I. Bars
(
- Southern California U.
)
,
C. Deliduman
(
- Southern California U.
)
,
O. Andreev
(
- Southern California U.
)

- Phys.Rev.D 58 (1998) 066004
•
e-Print:
- hep-th/9803188
•
DOI:
- 10.1103/PhysRevD.58.066004

Conformal symmetry and duality between free particle, H - atom and harmonic oscillator

Itzhak Bars
(
- Southern California U.
)

- Phys.Rev.D 58 (1998) 066006
•
e-Print:
- hep-th/9804028
•
DOI:
- 10.1103/PhysRevD.58.066006

Examples of black holes in two time physics

Sascha Vongehr
(
- Southern California U.
)

e-Print:
- hep-th/9907077

Two - time physics

Itzhak Bars
(
- Southern California U.
)

•
e-Print:
- hep-th/9809034

Hidden symmetries, AdS(D) x S**n, and the lifting of one time physics to two time physics

Itzhak Bars
(
- Southern California U.
)

- Phys.Rev.D 59 (1999) 045019
•
e-Print:
- hep-th/9810025
•
DOI:
- 10.1103/PhysRevD.59.045019

Gauge symmetry in phase space with spin: A Basis for conformal symmetry and duality among many interactions

- Phys.Rev.D 58 (1998) 106004
•
e-Print:
- hep-th/9806085
•
DOI:
- 10.1103/PhysRevD.58.106004

Strings, branes and two time physics

I. Bars
(
- Southern California U.
)
,
C. Deliduman
(
- Southern California U.
)
,
D. Minic
(
- Southern California U.
)

- Phys.Lett.B 466 (1999) 135-143
•
e-Print:
- hep-th/9906223
•
DOI:
- 10.1016/S0370-2693(99)01127-2

Supersymmetric two time physics

I. Bars
(
- Southern California U.
)
,
C. Deliduman
(
- Southern California U.
)
,
D. Minic
(
- Southern California U.
)

- Phys.Rev.D 59 (1999) 125004
•
e-Print:
- hep-th/9812161
•
DOI:
- 10.1103/PhysRevD.59.125004

Lifting M theory to two time physics

- Phys.Lett.B 457 (1999) 275-284
•
e-Print:
- hep-th/9904063
•
DOI:
- 10.1016/S0370-2693(99)00582-1

2T physics formulation of superconformal dynamics relating to twistors and supertwistors

Itzhak Bars
(
- Southern California U.
)

- Phys.Lett.B 483 (2000) 248-256
•
e-Print:
- hep-th/0004090
•
DOI:
- 10.1016/S0370-2693(00)00591-8

Two time physics with gravitational and gauge field backgrounds

Itzhak Bars
(
- Southern California U. and
- CIT-USC
)

- Phys.Rev.D 62 (2000) 085015
•
e-Print:
- hep-th/0002140
•
DOI:
- 10.1103/PhysRevD.62.085015

Two time physics in field theory

Itzhak Bars
(
- CIT-USC and
- Southern California U.
)

- Phys.Rev.D 62 (2000) 046007
•
e-Print:
- hep-th/0003100
•
DOI:
- 10.1103/PhysRevD.62.046007

- Phys.Rev.D 54 (1996) 5203-5210
•
e-Print:
- hep-th/9604139
•
DOI:
- 10.1103/PhysRevD.54.5203

S theory

Itzhak Bars
(
- Southern California U.
)

- Phys.Rev.D 55 (1997) 2373-2381
•
e-Print:
- hep-th/9607112
•
DOI:
- 10.1103/PhysRevD.55.2373

Algebraic structure of S theory

Itzhak Bars
(
- Southern California U.
)

- Sakharov Conference 1996:355-363,
- Sakharov Conference 1996:355-363
•
e-Print:
- hep-th/9608061

A Case for fourteen-dimensions

Itzhak Bars
(
- CERN
)

- Phys.Lett.B 403 (1997) 257-264
•
e-Print:
- hep-th/9704054
•
DOI:
- 10.1016/S0370-2693(97)00550-9

Supermembranes and the Signature of Space-time

M.P. Blencowe
(
- Imperial Coll., London
)
,
M.J. Duff
(
- Imperial Coll., London and
- CERN
)

- Nucl.Phys.B 310 (1988) 387-404
•
DOI:
- 10.1016/0550-3213(88)90155-1

Selfduality and $N=2$ String {MAGIC}

Hirosi Ooguri
(
- Chicago U. and
- Chicago U., EFI
)
,
Cumrun Vafa
(
- Harvard U.
)

- Mod.Phys.Lett.A 5 (1990) 1389-1398,
- Boston PASCOS 1990:435-448
•
DOI:
- 10.1142/S021773239000158X

Geometry of N=2 strings

Hirosi Ooguri
(
- Chicago U. and
- Chicago U., EFI
)
,
Cumrun Vafa
(
- Harvard U.
)

- Nucl.Phys.B 361 (1991) 469-518,
- In *Trieste 1990, Proceedings, String theory and quantum gravity* 157-173 and Chicago Univ. - EFI 91-005 (91/01,rec.Feb.) 62 p
•
DOI:
- 10.1016/0550-3213(91)90270-8

N=2 heterotic strings

Hirosi Ooguri
(
- Kyoto U., RIMS
)
,
Cumrun Vafa
(
- Harvard U.
)

- Nucl.Phys.B 367 (1991) 83-104
•
DOI:
- 10.1016/0550-3213(91)90042-V

Evidence for F theory

Cumrun Vafa
(
- Harvard U.
)

- Nucl.Phys.B 469 (1996) 403-418
•
e-Print:
- hep-th/9602022
•
DOI:
- 10.1016/0550-3213(96)00172-1

Supersymmetric Yang-Mills equations in (10+2)-dimensions

Hitoshi Nishino
(
- Maryland U.
)
,
Ergin Sezgin
(
- Texas A-M
)

- Phys.Lett.B 388 (1996) 569-576
•
e-Print:
- hep-th/9607185
•
DOI:
- 10.1016/S0370-2693(96)01181-1

SuperYang-Mills in (11,3)-dimensions

Ergin Sezgin
(
- Texas A-M
)

- Phys.Lett.B 403 (1997) 265-272
•
e-Print:
- hep-th/9703123
•
DOI:
- 10.1016/S0370-2693(97)00516-9

1-25 of 50
1
2
25 / page