Dimensional reduction for D3-brane moduli

Warped string compactifications are central to many attempts to stabilize moduli and connect string theory with cosmology and particle phenomenology. we present a first-principles derivation of the low-energy 4d effective theory from dimensional reduction of a d3-brane in a warped calabi-yau compactification of type iib string theory with imaginary self-dual 3-form flux, including effects of d3-brane motion beyond the probe approximation, and find the metric on the moduli space of brane positions, the universal volume modulus, and axions descending from the 4-form potential. as d3-branes be considered as carrying either electric or magnetic charges for the self-dual 5-form field strength, we present calculations in both duality frames. our results are consistent with, but extend significantly, earlier results on the low-energy effective theory arising from d3-branes in string compactifications.