# N =1 supergravitational heterotic galileons

## Abstract

Heterotic M -theory consists of a five-dimensional manifold of the form S ^{1}/Z _{2} × M _{4}. It has been shown that one of the two orbifold planes, the “observable” sector, can have a low energy particle spectrum which is precisely the N = 1 super-symmetric standard model with three right-handed neutrino chiral supermultiplets. The other orbifold plane constitutes a “hidden” sector which, since its communication with the observable sector is suppressed, will be ignored in this paper. However, the finite fifth-dimension allows for the existence of three-brane solitons which, in order to render the vacuum anomaly free, must appear. That is, heterotic M -theory provides a natural framework for brane-world cosmological scenarios coupled to realistic particle physics. The complete worldvolume action of such three-branes is unknown. Here, treating these solitons as probe branes, we construct their scalar worldvolume Lagrangian as a derivative expansion of the heterotic DBI action. In analogy with similar calculations in the M _{5} and AdS _{5} context, this leads to the construction of “heterotic Galileons”. However, realistic vacua of heterotic M -theory are necessarily N = 1 supersymmetric in four dimensions. Hence, we proceed to supersymmetrize the three-brane worldvolume action, first in flat superspace andmore »

- Authors:

- Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy

- Publication Date:

- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)

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

- OSTI Identifier:
- 1505217

- Grant/Contract Number:
- [SC0007901]

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- [Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11]; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; p-branes; Supergravity Models; Superstrings and Heterotic Strings; Supersymmetric Effective Theories

### Citation Formats

```
Deen, Rehan, and Ovrut, Burt. N =1 supergravitational heterotic galileons. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)026.
```

```
Deen, Rehan, & Ovrut, Burt. N =1 supergravitational heterotic galileons. United States. doi:10.1007/jhep11(2017)026.
```

```
Deen, Rehan, and Ovrut, Burt. Wed .
"N =1 supergravitational heterotic galileons". United States. doi:10.1007/jhep11(2017)026. https://www.osti.gov/servlets/purl/1505217.
```

```
@article{osti_1505217,
```

title = {N =1 supergravitational heterotic galileons},

author = {Deen, Rehan and Ovrut, Burt},

abstractNote = {Heterotic M -theory consists of a five-dimensional manifold of the form S1/Z2 × M4. It has been shown that one of the two orbifold planes, the “observable” sector, can have a low energy particle spectrum which is precisely the N = 1 super-symmetric standard model with three right-handed neutrino chiral supermultiplets. The other orbifold plane constitutes a “hidden” sector which, since its communication with the observable sector is suppressed, will be ignored in this paper. However, the finite fifth-dimension allows for the existence of three-brane solitons which, in order to render the vacuum anomaly free, must appear. That is, heterotic M -theory provides a natural framework for brane-world cosmological scenarios coupled to realistic particle physics. The complete worldvolume action of such three-branes is unknown. Here, treating these solitons as probe branes, we construct their scalar worldvolume Lagrangian as a derivative expansion of the heterotic DBI action. In analogy with similar calculations in the M5 and AdS5 context, this leads to the construction of “heterotic Galileons”. However, realistic vacua of heterotic M -theory are necessarily N = 1 supersymmetric in four dimensions. Hence, we proceed to supersymmetrize the three-brane worldvolume action, first in flat superspace and then extend the results to N = 1 supergravity. Such a worldvolume action may lead to interesting cosmology, such as “bouncing” universe models, by allowing for the violation of the Null Energy Condition (NEC).},

doi = {10.1007/jhep11(2017)026},

journal = {Journal of High Energy Physics (Online)},

number = [11],

volume = [2017],

place = {United States},

year = {2017},

month = {11}

}

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#### Figures / Tables:

Works referenced in this record:

##
Classically Stable Nonsingular Cosmological Bounces

journal, September 2016

- Ijjas, Anna; Steinhardt, Paul J.
- Physical Review Letters, Vol. 117, Issue 12

##
Galilean genesis: an alternative to inflation

journal, November 2010

- Creminelli, Paolo; Nicolis, Alberto; Trincherini, Enrico
- Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 11

##
G-bounce

journal, November 2011

- Easson, Damien A.; Sawicki, Ignacy; Vikman, Alexander
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 11

##
Bouncing Cosmologies: Progress and Problems

journal, February 2017

- Brandenberger, Robert; Peter, Patrick
- Foundations of Physics, Vol. 47, Issue 6

##
Supergravitational conformal Galileons

journal, August 2017

- Deen, Rehan; Ovrut, Burt
- Journal of High Energy Physics, Vol. 2017, Issue 8

##
Higher-derivative supergravity and moduli stabilization

journal, October 2015

- Ciupke, David; Louis, Jan; Westphal, Alexander
- Journal of High Energy Physics, Vol. 2015, Issue 10

##
Emerging potentials in higher-derivative gauged chiral models coupled to $ \mathcal{N}=1 $ supergravity

journal, November 2012

- Farakos, Fotis; Kehagias, Alex
- Journal of High Energy Physics, Vol. 2012, Issue 11

##
Heterotic kink solitons and their worldvolume action

journal, September 2012

- Ovrut, Burt A.; Stokes, James
- Journal of High Energy Physics, Vol. 2012, Issue 9

##
Fully stable cosmological solutions with a non-singular classical bounce

journal, January 2017

- Ijjas, Anna; Steinhardt, Paul J.
- Physics Letters B, Vol. 764

##
A new class of four-dimensional $ \mathcal{N}{ = 1} $ supergravity with non-minimal derivative couplings

journal, May 2012

- Farakos, Fotis; Germani, Cristiano; Kehagias, Alex
- Journal of High Energy Physics, Vol. 2012, Issue 5

##
Heterotic and Type I string dynamics from eleven dimensions

journal, February 1996

- Hořava, Petr; Witten, Edward
- Nuclear Physics B, Vol. 460, Issue 3

##
Vector bundle extensions, sheaf cohomology, and the heterotic standard model

journal, January 2006

- Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
- Advances in Theoretical and Mathematical Physics, Vol. 10, Issue 4

##
Inflation with non-minimal gravitational couplings in supergravity

journal, March 2010

- Einhorn, Martin B.; Timothy Jones, D. R.
- Journal of High Energy Physics, Vol. 2010, Issue 3

##
A smooth bouncing cosmology with scale invariant spectrum

journal, November 2007

- Creminelli, Paolo; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 11

##
Non-Gaussianities in New Ekpyrotic Cosmology

journal, May 2008

- Buchbinder, Evgeny I.; Khoury, Justin; Ovrut, Burt A.
- Physical Review Letters, Vol. 100, Issue 17

##
The exact MSSM spectrum from string theory

journal, May 2006

- Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
- Journal of High Energy Physics, Vol. 2006, Issue 05

##
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC

journal, September 2012

- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- Physics Letters B, Vol. 716, Issue 1

##
Supersymmetric Sneutrino-Higgs inflation

journal, November 2016

- Deen, Rehan; Ovrut, Burt A.; Purves, Austin
- Physics Letters B, Vol. 762

##
The Particle Spectrum of Heterotic Compactifications

journal, December 2004

- Donagi, Ron; He, Yang-Hui; Ovrut, Burt A.
- Journal of High Energy Physics, Vol. 2004, Issue 12

##
Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

journal, September 2012

- Aad, G.; Abajyan, T.; Abbott, B.
- Physics Letters B, Vol. 716, Issue 1

##
Towards a nonsingular bouncing cosmology

journal, August 2012

- Cai, Yi-Fu; Easson, Damien A.; Brandenberger, Robert
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 08

##
Heterotic M-theory in five dimensions

journal, July 1999

- Lukas, André; Ovrut, Burt A.; Stelle, K. S.
- Nuclear Physics B, Vol. 552, Issue 1-2

##
Dirac-Born-Infeld Genesis: An Improved Violation of the Null Energy Condition

journal, June 2013

- Hinterbichler, Kurt; Joyce, Austin; Khoury, Justin
- Physical Review Letters, Vol. 110, Issue 24

##
On the four-dimensional effective action of strongly coupled heterotic string theory

journal, October 1998

- Lukas, André; Ovrut, Burt A.; Waldram, Daniel
- Nuclear Physics B, Vol. 532, Issue 1-2

##
The Standard Model Higgs boson as the inflaton

journal, January 2008

- Bezrukov, Fedor; Shaposhnikov, Mikhail
- Physics Letters B, Vol. 659, Issue 3

##
On ghost-free supersymmetric galileons

journal, November 2013

- Farakos, Fotis; Germani, Cristiano; Kehagias, Alex
- Journal of High Energy Physics, Vol. 2013, Issue 11

##
4D gravity on a brane in 5D Minkowski space

journal, July 2000

- Dvali, Gia; Gabadadze, Gregory; Porrati, Massimo
- Physics Letters B, Vol. 485, Issue 1-3

##
Eleven-dimensional supergravity on a manifold with boundary

journal, September 1996

- Hořava, Petr; Witten, Edward
- Nuclear Physics B, Vol. 475, Issue 1-2

##
Matplotlib: A 2D Graphics Environment

journal, January 2007

- Hunter, John D.
- Computing in Science & Engineering, Vol. 9, Issue 3

##
On the initial conditions in new ekpyrotic cosmology

journal, November 2007

- Buchbinder, Evgeny I.; Khoury, Justin; Ovrut, Burt A.
- Journal of High Energy Physics, Vol. 2007, Issue 11

##
Moduli spaces of fivebranes on elliptic Calabi-Yau threefolds

journal, November 1999

- Donagi, Ron; Ovrut, Burt A.; Waldram, Daniel
- Journal of High Energy Physics, Vol. 1999, Issue 11

##
A Standard Model from the *E* _{8} × *E* _{8} heterotic superstring

journal, June 2005

- Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
- Journal of High Energy Physics, Vol. 2005, Issue 06

##
Supersymmetric hidden sectors for heterotic standard models

journal, September 2013

- Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
- Journal of High Energy Physics, Vol. 2013, Issue 9

##
A heterotic standard model

journal, July 2005

- Braun, Volker; He, Yang-Hui; Ovrut, Burt A.
- Physics Letters B, Vol. 618, Issue 1-4

##
Symmetries for Galileons and DBI scalars on curved space

journal, July 2011

- Goon, Garrett; Hinterbichler, Kurt; Trodden, Mark
- Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07

##
Supergravity for effective theories

journal, March 2012

- Baumann, Daniel; Green, Daniel
- Journal of High Energy Physics, Vol. 2012, Issue 3

##
Elliptic Calabi-Yau Threefolds with *Z* _{3} × *Z* _{3} Wilson Lines

journal, December 2004

- Braun, Volker; Ovrut, Burt A.; Pantev, Tony
- Journal of High Energy Physics, Vol. 2004, Issue 12

##
New Class of Effective Field Theories from Embedded Branes

journal, June 2011

- Goon, Garrett L.; Hinterbichler, Kurt; Trodden, Mark
- Physical Review Letters, Vol. 106, Issue 23

##
Holomorphic vector bundles and non-perturbative vacua in M-theory

journal, June 1999

- Donagi, Ron; Lukas, André; Ovrut, Burt A.
- Journal of High Energy Physics, Vol. 1999, Issue 06

Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*