D3-brane Vacua in Stabilized Compactifications

Abstract

D3-branes feel no force in no-scale flux compactifications of type IIB string theory, but the nonperturbative effects required to stabilize the Kahler moduli break the no-scale structure and generate a potential for D3-brane motion, confining the branes to certain loci. D3-branes away from these loci break supersymmetry spontaneously, by an F-term. We present the general conditions for supersymmetric D3-brane vacua in models with a single Kahler modulus, then explicitly calculate these vacua for D3-branes moving on the tip of the warped deformed conifold. We find both continuous moduli spaces and isolated vacua. In addition, we show that anti-D3-branes and D3-branes are localized to the same regions by the nonperturbative potential, avoiding a potential obstacle to brane inflation. We apply these results to determine whether angular motion of a brane in a throat could play an important role in inflation, and find that any inflation along the angular directions is short-lived because the field space is very small.

30 pages, LaTeX. v2: references added, typos fixed

References in corpus (5)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• A Delicate Universe
• Progress in D-brane model building
• Brane Inflation : String Theory viewed from the Cosmos
• On the Moduli Dependence of Nonperturbative Superpotentials in Brane Inflation

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• DBI Global Strings
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• Systematics of multi-field effects at the end of warped brane inflation
• Moduli stabilization in heterotic M-theory
• Inflation on an Open Racetrack
• The Cosmological Constant Problem and Inflation in the String Landscape
• Brane/flux annihilation transitions and nonperturbative moduli stabilization
• Curvatons in Warped Throats
• Potential for the slow-roll inflation, mass scale hierarchy and Dark Energy from the Type IIA supergravity
• Nonsupersymmetric brane vacua in stabilized compactifications