Eur. Phys. J. C (2017) 77: 277
https://doi.org/10.1140/epjc/s10052-017-4857-y

Regular Article - Theoretical Physics

Modulus stabilization in a non-flat warped braneworld scenario

¹ Department of Astrophysics and Cosmology, S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake City, Kolkata, 700106, India
² Department of Theoretical Physics, Indian Association for the Cultivation of Science, 2A and 2B Raja S C Mullick Road, Kolkata, 700032, India

^* e-mail: tpssg@iacs.res.in

Received: 3 March 2017
Accepted: 24 April 2017
Published online: 3 May 2017

Abstract

The stability of the modular field in a warped brane world scenario has been a subject of interest for a long time. Goldberger and Wise (GW) proposed a mechanism to achieve this by invoking a massive scalar field in the bulk space-time neglecting the back-reaction. In this work, we examine the possibility of stabilizing the modulus without bringing about any external scalar field. We show that instead of flat 3-branes as considered in Randall–Sundrum (RS) warped braneworld model, if one considers a more generalized version of warped geometry with de Sitter 3-brane, then the brane vacuum energy automatically leads to a modulus potential with a metastable minimum. Our result further reveals that in this scenario the gauge hierarchy problem can also be resolved for an appropriate choice of the brane’s cosmological constant.