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Debris disks are dusty, optically thin structures around main sequence stars.HD 106906AB is a short-period stellar binary, host to a wide separation planet,HD 106906b, and a debris disk. Only a few known systems include a debris diskand a directly imaged planet, and HD 106906 is the only one in which the planetis exterior to the disk. The debris disk is edge-on and highly asymmetric inscattered light. Here we resolve the disk structure at a resolution of 0.38"(39 au) with the Atacama Large Millimeter/submillimeter Array (ALMA) at awavelength of 1.3 mm. We model the disk with both a narrow and broad ring ofmaterial, and find that a radially broad, axisymmetric disk between radii of$\sim$50$-$100 au is able to capture the structure of the observations withoutevidence of any asymmetry or eccentricity, other than a tentative stellocentricoffset. We place stringent upper limits on both the gas and dust content of aputative circumplanetary disk. We interpret the ALMA data in concert withscattered light observations of the inner ring and astrometric constraints onthe planet's orbit, and find that the observations are consistent with alarge-separation, low-eccentricity orbit for the planet. A dynamical analysisindicates that the central binary can efficiently stabilize planetesimal orbitsinterior to $\sim$100 au, which relaxes the constraints on eccentricity andsemimajor axis somewhat. The observational constraints are consistent with insitu formation via gravitational instability, but cannot rule out a scatteringevent as the origin for HD 106906b's current orbit.

Millimeter Dust Emission and Planetary Dynamics in the HD 106906 System