$N=1$ Supergravitational Heterotic Galileons

Rehan Deen; Burt Ovrut

doi:10.1007/JHEP11(2017)026

paper

$N = 1$ Supergravitational Heterotic Galileons

arXiv:1707.05305 · doi:10.1007/JHEP11(2017)026

Abstract

Heterotic $M$ -theory consists of a five-dimensional manifold of the form $S^{1} / Z_{2} \times M_{4}$ . 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 $A d S_{5}$ 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).

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

N=1 Supergravitational Heterotic Galileons

Abstract

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$N = 1$ Supergravitational Heterotic Galileons