We present the discovery of SDSS J135154.46-064309.0, a short-period variable observed using 30-minute cadence photometry in K2 Campaign 6. Follow-up spectroscopy and high-speed photometry support a classification as a new member of the rare class of ultracompact accreting binaries known as AM CVn stars. The spectroscopic orbital period of 15.65±0.12\,minutes makes this system the fourth-shortest period AM CVn known, and the second system of this type to be discovered by the Kepler spacecraft. The K2 data show photometric periods at 15.7306±0.0003\,minutes, 16.1121±0.0004\,minutes and 664.82±0.06\,minutes, which we identify as the orbital period, superhump period, and disc precession period, respectively. From the superhump and orbital periods we estimate the binary mass ratio q=M2/M1=0.111±0.005, though this method of mass ratio determination may not be well calibrated for helium-dominated binaries. This system is likely to be a bright foreground source of gravitational waves in the frequency range detectable by LISA, and may be of use as a calibration source if future studies are able to constrain the masses of its stellar components.
@article{arxiv.1804.07138,
title = {A 15.7-Minute AM CVn Binary Discovered in K2},
author = {M. J. Green and J. J. Hermes and T. R. Marsh and D. T. H. Steeghs and Keaton J. Bell and S. P. Littlefair and S. G. Parsons and E. Dennihy and J. T. Fuchs and J. S. Reding and B. C. Kaiser and R. P. Ashley and E. Breedt and V. S. Dhillon and N. P. Gentile Fusillo and P. Kerry and D. I. Sahman},
journal= {arXiv preprint arXiv:1804.07138},
year = {2018}
}