Abstract
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).
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
F.L. Bezrukov and M. Shaposhnikov, The Standard Model Higgs boson as the inflaton, Phys. Lett. B 659 (2008) 703 [arXiv:0710.3755] [INSPIRE].
M.B. Einhorn and D.R.T. Jones, Inflation with Non-minimal Gravitational Couplings in Supergravity, JHEP 03 (2010) 026 [arXiv:0912.2718] [INSPIRE].
S. Ferrara, R. Kallosh, A. Linde, A. Marrani and A. Van Proeyen, Jordan Frame Supergravity and Inflation in NMSSM, Phys. Rev. D 82 (2010) 045003 [arXiv:1004.0712] [INSPIRE].
R. Deen, B.A. Ovrut and A. Purves, Supersymmetric Sneutrino-Higgs Inflation, Phys. Lett. B 762 (2016) 441 [arXiv:1606.00431] [INSPIRE].
J. Khoury, B.A. Ovrut, P.J. Steinhardt and N. Turok, The Ekpyrotic universe: Colliding branes and the origin of the hot big bang, Phys. Rev. D 64 (2001) 123522 [hep-th/0103239] [INSPIRE].
J. Khoury, B.A. Ovrut, N. Seiberg, P.J. Steinhardt and N. Turok, From big crunch to big bang, Phys. Rev. D 65 (2002) 086007 [hep-th/0108187] [INSPIRE].
J. Khoury, B.A. Ovrut, P.J. Steinhardt and N. Turok, Density perturbations in the ekpyrotic scenario, Phys. Rev. D 66 (2002) 046005 [hep-th/0109050] [INSPIRE].
E.I. Buchbinder, J. Khoury and B.A. Ovrut, New Ekpyrotic cosmology, Phys. Rev. D 76 (2007) 123503 [hep-th/0702154] [INSPIRE].
E.I. Buchbinder, J. Khoury and B.A. Ovrut, On the initial conditions in new ekpyrotic cosmology, JHEP 11 (2007) 076 [arXiv:0706.3903] [INSPIRE].
E.I. Buchbinder, J. Khoury and B.A. Ovrut, Non-Gaussianities in new ekpyrotic cosmology, Phys. Rev. Lett. 100 (2008) 171302 [arXiv:0710.5172] [INSPIRE].
P. Creminelli and L. Senatore, A smooth bouncing cosmology with scale invariant spectrum, JCAP 11 (2007) 010 [hep-th/0702165] [INSPIRE].
D.A. Easson, I. Sawicki and A. Vikman, G-Bounce, JCAP 11 (2011) 021 [arXiv:1109.1047] [INSPIRE].
Y.-F. Cai, D.A. Easson and R. Brandenberger, Towards a Nonsingular Bouncing Cosmology, JCAP 08 (2012) 020 [arXiv:1206.2382] [INSPIRE].
R.H. Brandenberger, The Matter Bounce Alternative to Inflationary Cosmology, arXiv:1206.4196 [INSPIRE].
R. Brandenberger and P. Peter, Bouncing Cosmologies: Progress and Problems, Found. Phys. 47 (2017) 797 [arXiv:1603.05834] [INSPIRE].
M. Koehn, J.-L. Lehners and B.A. Ovrut, Cosmological super-bounce, Phys. Rev. D 90 (2014) 025005 [arXiv:1310.7577] [INSPIRE].
M. Koehn, J.-L. Lehners and B. Ovrut, Nonsingular bouncing cosmology: Consistency of the effective description, Phys. Rev. D 93 (2016) 103501 [arXiv:1512.03807] [INSPIRE].
A. Ijjas and P.J. Steinhardt, Classically stable nonsingular cosmological bounces, Phys. Rev. Lett. 117 (2016) 121304 [arXiv:1606.08880] [INSPIRE].
A. Ijjas and P.J. Steinhardt, Fully stable cosmological solutions with a non-singular classical bounce, Phys. Lett. B 764 (2017) 289 [arXiv:1609.01253] [INSPIRE].
P. Creminelli, A. Nicolis and E. Trincherini, Galilean Genesis: An alternative to inflation, JCAP 11 (2010) 021 [arXiv:1007.0027] [INSPIRE].
K. Hinterbichler, A. Joyce, J. Khoury and G.E.J. Miller, Dirac-Born-Infeld Genesis: An Improved Violation of the Null Energy Condition, Phys. Rev. Lett. 110 (2013) 241303 [arXiv:1212.3607] [INSPIRE].
G. Goon, K. Hinterbichler and M. Trodden, Symmetries for Galileons and DBI scalars on curved space, JCAP 07 (2011) 017 [arXiv:1103.5745] [INSPIRE].
G. Goon, K. Hinterbichler and M. Trodden, A New Class of Effective Field Theories from Embedded Branes, Phys. Rev. Lett. 106 (2011) 231102 [arXiv:1103.6029] [INSPIRE].
G.R. Dvali, G. Gabadadze and M. Porrati, 4-D gravity on a brane in 5-D Minkowski space, Phys. Lett. B 485 (2000) 208 [hep-th/0005016] [INSPIRE].
A. Nicolis, R. Rattazzi and E. Trincherini, The Galileon as a local modification of gravity, Phys. Rev. D 79 (2009) 064036 [arXiv:0811.2197] [INSPIRE].
C. de Rham and A.J. Tolley, DBI and the Galileon reunited, JCAP 05 (2010) 015 [arXiv:1003.5917] [INSPIRE].
A. Lukas, B.A. Ovrut and D. Waldram, On the four-dimensional effective action of strongly coupled heterotic string theory, Nucl. Phys. B 532 (1998) 43 [hep-th/9710208] [INSPIRE].
A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, The Universe as a domain wall, Phys. Rev. D 59 (1999) 086001 [hep-th/9803235] [INSPIRE].
A. Lukas, B.A. Ovrut, K.S. Stelle and D. Waldram, Heterotic M-theory in five-dimensions, Nucl. Phys. B 552 (1999) 246 [hep-th/9806051] [INSPIRE].
B.A. Ovrut and J. Stokes, Heterotic Kink Solitons and their Worldvolume Action, JHEP 09 (2012) 065 [arXiv:1205.4236] [INSPIRE].
R. Deen and B. Ovrut, Supergravitational Conformal Galileons, JHEP 08 (2017) 014 [arXiv:1705.06729] [INSPIRE].
P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven-dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [INSPIRE].
P. Hořava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B 475 (1996) 94 [hep-th/9603142] [INSPIRE].
A. Lukas, B.A. Ovrut and D. Waldram, Nonstandard embedding and five-branes in heterotic M-theory, Phys. Rev. D 59 (1999) 106005 [hep-th/9808101] [INSPIRE].
R. Donagi, A. Lukas, B.A. Ovrut and D. Waldram, Holomorphic vector bundles and nonperturbative vacua in M-theory, JHEP 06 (1999) 034 [hep-th/9901009] [INSPIRE].
R. Donagi, Y.-H. He, B.A. Ovrut and R. Reinbacher, The Particle spectrum of heterotic compactifications, JHEP 12 (2004) 054 [hep-th/0405014] [INSPIRE].
R. Donagi, B.A. Ovrut and D. Waldram, Moduli spaces of five-branes on elliptic Calabi-Yau threefolds, JHEP 11 (1999) 030 [hep-th/9904054] [INSPIRE].
V. Braun, B.A. Ovrut, T. Pantev and R. Reinbacher, Elliptic Calabi-Yau threefolds with Z(3) x Z(3) Wilson lines, JHEP 12 (2004) 062 [hep-th/0410055] [INSPIRE].
V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, A heterotic standard model, Phys. Lett. B 618 (2005) 252 [hep-th/0501070] [INSPIRE].
V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, A standard model from the E 8 × E 8 heterotic superstring, JHEP 06 (2005) 039 [hep-th/0502155] [INSPIRE].
V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, Vector bundle extensions, sheaf cohomology and the heterotic standard model, Adv. Theor. Math. Phys. 10 (2006) 525 [hep-th/0505041] [INSPIRE].
V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, The exact MSSM spectrum from string theory, JHEP 05 (2006) 043 [hep-th/0512177] [INSPIRE].
V. Braun, Y.-H. He and B.A. Ovrut, Supersymmetric Hidden Sectors for Heterotic Standard Models, JHEP 09 (2013) 008 [arXiv:1301.6767] [INSPIRE].
M. Brandle and A. Lukas, Five-branes in heterotic brane world theories, Phys. Rev. D 65 (2002) 064024 [hep-th/0109173] [INSPIRE].
N.D. Antunes, E.J. Copeland, M. Hindmarsh and A. Lukas, Kinky brane worlds, Phys. Rev. D 68 (2003) 066005 [hep-th/0208219] [INSPIRE].
C. Deffayet, G. Esposito-Farese and A. Vikman, Covariant Galileon, Phys. Rev. D 79 (2009) 084003 [arXiv:0901.1314] [INSPIRE].
J. Bagger and J. Wess, Supersymmetry and Supergravity, second edition, Princeton University Press (1992) [ISBN: 0-691-08556-0].
J. Khoury, J.-L. Lehners and B.A. Ovrut, Supersymmetric Galileons, Phys. Rev. D 84 (2011) 043521 [arXiv:1103.0003] [INSPIRE].
M. Koehn, J.-L. Lehners and B.A. Ovrut, Higher-Derivative Chiral Superfield Actions Coupled to N = 1 Supergravity, Phys. Rev. D 86 (2012) 085019 [arXiv:1207.3798] [INSPIRE].
D. Ciupke, J. Louis and A. Westphal, Higher-Derivative Supergravity and Moduli Stabilization, JHEP 10 (2015) 094 [arXiv:1505.03092] [INSPIRE].
D. Baumann and D. Green, Supergravity for Effective Theories, JHEP 03 (2012) 001 [arXiv:1109.0293] [INSPIRE].
F. Farakos, C. Germani, A. Kehagias and E.N. Saridakis, A New Class of Four-Dimensional N =1 Supergravity with Non-minimal Derivative Couplings, JHEP 05 (2012) 050 [arXiv:1202.3780] [INSPIRE].
F. Farakos and A. Kehagias, Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N = 1 Supergravity, JHEP 11 (2012) 077 [arXiv:1207.4767] [INSPIRE].
F. Farakos, C. Germani and A. Kehagias, On ghost-free supersymmetric galileons, JHEP 11 (2013) 045 [arXiv:1306.2961] [INSPIRE].
D. Ciupke, Scalar Potential from Higher Derivative \( \mathcal{N} \) = 1 Superspace, arXiv:1605.00651 [INSPIRE].
J.D. Hunter, Matplotlib: A 2d graphics environment, Comput. Sci. Eng. 9 (2007) 3.
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1707.05305
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Deen, R., Ovrut, B. N =1 supergravitational heterotic galileons. J. High Energ. Phys. 2017, 26 (2017). https://doi.org/10.1007/JHEP11(2017)026
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2017)026