Orbifold Branes in the $M_D \times M_{d^+} \times M_{d^-}$ Compactification of type II string on $S^1/Z_2$ and their cosmological applications

Michael Devin; Tibra Ali; Gerald Cleaver; Anzhong Wang; Qiang Wu

doi:10.1088/1126-6708/2009/10/095

paper

Orbifold Branes in the $M_{D} \times M_{d^{+}} \times M_{d^{-}}$ Compactification of type II string on $S^{1} / Z_{2}$ and their cosmological applications

arXiv:0907.1756 · doi:10.1088/1126-6708/2009/10/095

Abstract

In this paper, we study the implementation of brane worlds in type II string theory. Starting with the NS/NS sector of type II string, we first compactify the $(D + d_{+} + d_{-})$ -dimensional spacetime, and reduce the corresponding action to a D-dimensional effective action, where the topologies of $M_{d_{+}}$ and $M_{d_{-}}$ are arbitrary. We further compactify one of the $(D - 1)$ spatial dimensions on an $S^{1} / Z_{2}$ orbifold, and derive the gravitational and matter field equations both in the bulk and on the branes. Then, we investigate two key issues in such a setup: (i) the radion stability and radion mass; and (ii) the localization of gravity, and the corresponding Kaluza-Klein (KK) modes. We show explicitly that the radion is stable and its mass can be in the order of $G e V$ . In addition, the gravity is localized on the visible brane, and its spectrum of the gravitational KK towers is discrete and can have a mass gap of $T e V$ , too. The high order Yukawa corrections to the 4-dimensional Newtonian potential is exponentially suppressed, and can be negligible. Applying such a setup to cosmology, we obtain explicitly the field equations in the bulk and the generalized Friedmann equations on the branes.

arXiv commentrevtex4, 16 pages, 8 figures

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Cited by in corpus (1)

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Orbifold Branes in the MD​×Md+​×Md−​ Compactification of type II string on S1/Z2​ and their cosmological applications

Abstract

References in corpus (135)

Cited by in corpus (1)

Orbifold Branes in the $M_{D} \times M_{d^{+}} \times M_{d^{-}}$ Compactification of type II string on $S^{1} / Z_{2}$ and their cosmological applications