# Theory of metaparticles

## Abstract

We introduce and develop the theory of metaparticles. At the classical level, this is a world-line theory with the usual reparametrization invariance and two additional features. The theory is motivated by string theory on compact targets and can be thought of, at least at the noninteracting level, as a theory of particles at a given string level, or as a particle model for Born geometries. The first additional feature of the model is the presence of an additional local symmetry, which from the string point of view corresponds to the completion of worldsheet diffeomorphism invariance. From the particle world-line point of view, this symmetry is associated with an additional local constraint. The second feature is the presence of a nontrivial symplectic form on the metaparticle phase space, also motivated by string theory [L. Freidel, R. G. Leigh, and D. Minic, Noncommutativity of closed string zero modes, Phys. Rev. D 96, 066003 (2017)., L. Freidel, R. G. Leigh, and D. Minic, Intrinsic non-commutativity of closed string theory, J. High Energy Phys. 09 (2017) 060.]. Because of its interpretation as a particle model on Born geometry, the spacetime on which the metaparticle propagates is ambiguous, with different choices related by what, inmore »

- Authors:

- Publication Date:

- Research Org.:
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1503341

- Alternate Identifier(s):
- OSTI ID: 1611288

- Grant/Contract Number:
- SC0015655; FG02-13ER41917; SC0009973

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 6; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Strings & branes

## Citation Formats

```
Freidel, Laurent, Kowalski-Glikman, Jerzy, Leigh, Robert G., and Minic, Djordje. Theory of metaparticles. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.066011.
```

```
Freidel, Laurent, Kowalski-Glikman, Jerzy, Leigh, Robert G., & Minic, Djordje. Theory of metaparticles. United States. https://doi.org/10.1103/PhysRevD.99.066011
```

```
Freidel, Laurent, Kowalski-Glikman, Jerzy, Leigh, Robert G., and Minic, Djordje. Tue .
"Theory of metaparticles". United States. https://doi.org/10.1103/PhysRevD.99.066011.
```

```
@article{osti_1503341,
```

title = {Theory of metaparticles},

author = {Freidel, Laurent and Kowalski-Glikman, Jerzy and Leigh, Robert G. and Minic, Djordje},

abstractNote = {We introduce and develop the theory of metaparticles. At the classical level, this is a world-line theory with the usual reparametrization invariance and two additional features. The theory is motivated by string theory on compact targets and can be thought of, at least at the noninteracting level, as a theory of particles at a given string level, or as a particle model for Born geometries. The first additional feature of the model is the presence of an additional local symmetry, which from the string point of view corresponds to the completion of worldsheet diffeomorphism invariance. From the particle world-line point of view, this symmetry is associated with an additional local constraint. The second feature is the presence of a nontrivial symplectic form on the metaparticle phase space, also motivated by string theory [L. Freidel, R. G. Leigh, and D. Minic, Noncommutativity of closed string zero modes, Phys. Rev. D 96, 066003 (2017)., L. Freidel, R. G. Leigh, and D. Minic, Intrinsic non-commutativity of closed string theory, J. High Energy Phys. 09 (2017) 060.]. Because of its interpretation as a particle model on Born geometry, the spacetime on which the metaparticle propagates is ambiguous, with different choices related by what, in string theory, we would call T-duality. In this paper, we define the model and explore some of its principle classical and quantum properties, including causality and unitarity.},

doi = {10.1103/PhysRevD.99.066011},

journal = {Physical Review D},

number = 6,

volume = 99,

place = {United States},

year = {2019},

month = {3}

}

https://doi.org/10.1103/PhysRevD.99.066011

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Works referenced in this record:

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##
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##
Noncommutativity of closed string zero modes

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