Warped flux compactification and brane gravity

Abstract

We find a simple exact solution of 6-dimensional braneworld which captures some essential features of warped flux compactification, including a warped geometry, compactification, a magnetic flux, and one or two 3-brane(s). In this setup we analyze how the Hubble expansion rate on each brane changes when the brane tension changes. It is shown that effective Newton’s constant resulting from this analysis agrees with that inferred by simply integrating extra dimensions out. Based on the result, a general formula for effective Newton’s constant is conjectured and its application to cosmology Warped flux compactification is one of essential parts of the construction of de Sitter vacua in string theory by Kachru, Kallosh, Linde and Trivedi [1] 1. A warped throat region [11] is smoothly attached to a Calabi-Yau manifold and all moduli except for the volume modulus are stabilized by fluxes [12]. The volume modulus is thought to be