We extract light curves for 4554 objects with 9<G<19 in the K2 superstamp observations of the globular cluster M4, including 3784 cluster members, and search for variability. Among cluster-member objects, we detect 66 variables, of which 52 are new discoveries. Among objects not belonging to the cluster, we detect 24 variables, of which 20 are new discoveries. We additionally discover 57 cluster-member suspected variables, 10 cluster-non-member suspected variables, and four variables with ambiguous cluster membership. Our light curves reach sub-millimagnitude precision for the cluster horizontal branch, permitting us to detect asteroseismic activity in six horizontal branch stars outside the instability strip and one inside the strip but with only ~1mmag amplitude variability. Nineteen additional stars along the red giant branch also have detected asteroseismic variability. Several eclipsing binaries are found in the cluster, including a 4.6 day detached eclipsing binary and an EW-class eclipsing binary, as well as an EW with uncertain cluster membership and three other candidate EWs. A 22 day detached eclipsing binary is also found outside the cluster. We identify a candidate X-ray binary that is a cluster member with quiescent and periodic ~20mmag optical variability. We also obtain high-precision light curves for 10 of the previously known RR Lyrae variables in the cluster and identify one as a candidate Blazhko variable with a Blazhko period in excess of 78d.

Cone search capability for table J/ApJS/244/12/table2 (Results for variables from Clement+ (2001AJ....122.2587C ; see V/150) and Stetson+ (2014, J/PASP/126/521))

Cone search capability for table J/ApJS/244/12/table3 (Newly discovered cluster variables)

Cone search capability for table J/ApJS/244/12/table4 (Newly discovered variables that are indeterminable blends)

Cone search capability for table J/ApJS/244/12/table5 (Newly discovered variables that are not cluster members)

Cone search capability for table J/ApJS/244/12/table1 (Stars examined)