D3-brane vacua in stabilized compactifications

D3-branes feel no force in no-scale flux compactifications of type IIB stringtheory, but the nonperturbative effects required to stabilize the Kahler modulibreak the no-scale structure and generate a potential for D3-brane motion,confining the branes to certain loci. D3-branes away from these loci breaksupersymmetry spontaneously, by an F-term. We present the general conditionsfor supersymmetric D3-brane vacua in models with a single Kahler modulus, thenexplicitly calculate these vacua for D3-branes moving on the tip of the warpeddeformed conifold. We find both continuous moduli spaces and isolated vacua. Inaddition, we show that anti-D3-branes and D3-branes are localized to the sameregions by the nonperturbative potential, avoiding a potential obstacle tobrane inflation. We apply these results to determine whether angular motion ofa brane in a throat could play an important role in inflation, and find thatany inflation along the angular directions is short-lived because the fieldspace is very small.Comment: 30 pages, LaTeX. v2: references added, typos fixe