$N=1$ Supergravitational Heterotic Galileons

Abstract

Heterotic $M$-theory consists of a five-dimensional manifold of the form $S^1/{\mathbf{Z}}_2\times M_4$. 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 $N=1$ supersymmetric 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 $Ad{S}_5$ 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 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).

arXiv commentVersion 3: Typos corrected, updated to be consistent with journal version. 39 pages, 4 figures

References in corpus (35)

• 4D Gravity on a Brane in 5D Minkowski Space
• The Standard Model Higgs boson as the inflaton
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Towards a Nonsingular Bouncing Cosmology
• Heterotic M-theory in Five Dimensions
• Bouncing Cosmologies: Progress and Problems
• Galilean Genesis: an alternative to inflation
• G-Bounce
• DBI and the Galileon reunited
• A Heterotic Standard Model
• On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory
• A smooth bouncing cosmology with scale invariant spectrum
• The Exact MSSM Spectrum from String Theory
• Symmetries for Galileons and DBI scalars on curved space
• Classically stable non-singular cosmological bounces
• A Standard Model from the E8 x E8 Heterotic Superstring
• Non-Gaussianities in New Ekpyrotic Cosmology
• Inflation with Non-minimal Gravitational Couplings and Supergravity
• Fully stable cosmological solutions with a non-singular classical bounce
• Holomorphic Vector Bundles and Non-Perturbative Vacua in M-Theory
• The Particle Spectrum of Heterotic Compactifications
• General Embedded Brane Effective Field Theories
• DBI Genesis: An Improved Violation of the Null Energy Condition
• On the Initial Conditions in New Ekpyrotic Cosmology
• Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N=1 Supergravity
• Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines
• Moduli Spaces of Fivebranes on Elliptic Calabi-Yau Threefolds
• Supergravity for Effective Theories
• On Ghost-free Supersymmetric Galileons
• A New Class of Four-Dimensional N=1 Supergravity with Non-minimal Derivative Couplings
• Supersymmetric Sneutrino-Higgs Inflation
• Supersymmetric Hidden Sectors for Heterotic Standard Models
• Heterotic Kink Solitons and their Worldvolume Action
• Supergravitational Conformal Galileons

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