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We report on the first millisecond timescale radio interferometric search forthe new class of transient known as fast radio bursts (FRBs). We used the VeryLarge Array (VLA) for a 166-hour, millisecond imaging campaign to detect andprecisely localize an FRB. We observed at 1.4 GHz and produced visibilitieswith 5 ms time resolution over 256 MHz of bandwidth. Dedispersed images weresearched for transients with dispersion measures from 0 to 3000 pc/cm3. Notransients were detected in observations of high Galactic latitude fields takenfrom September 2013 though October 2014. Observations of a known pulsar showthat images typically had a thermal-noise limited sensitivity of 120 mJy/beam(8 sigma; Stokes I) in 5 ms and could detect and localize transients over awide field of view. Our nondetection limits the FRB rate to less than7e4/sky/day (95% confidence) above a fluence limit of 1.2 Jy-ms. Assuming aEuclidean flux distribution, the VLA rate limit is inconsistent with thepublished rate of Thornton et al. We recalculate previously published rateswith a homogeneous consideration of the effects of primary beam attenuation,dispersion, pulse width, and sky brightness. This revises the FRB rate downwardand shows that the VLA observations had a roughly 60% chance of detecting atypical FRB and that a 95% confidence constraint would require roughly 500hours of similar VLA observing. Our survey also limits the repetition rate ofan FRB to 2 times less than any known repeating millisecond radio transient.

A Millisecond Interferometric Search for Fast Radio Bursts with the Very Large Array