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We study the warping and tearing of a geometrically thin,non-self-gravitating disk surrounding binary supermassive black holes on aneccentric orbit. The circumbinary disk is significantly misaligned with thebinary orbital plane, and is subject to the time-dependent tidal torques. Inprinciple, such a disk is warped and precesses, and is torn into mutuallymisaligned rings in the region, where the tidal precession torques are strongerthan the local viscous torques. We derive the tidal-warp and tearing radii ofthe misaligned circumbinary disks around eccentric SMBH binaries. We find thatin disks with the viscosity parameter, alpha, larger than a critical valuedepending on the disk aspect ratio, the disk warping appears outside thetearing radius. This condition is expressed as alpha > sqrt{H/3r} for H/r~<0.1, where H is the disk scale height. If alpha < sqrt{H/3r}, only the disktearing occurs because the tidal warp radius is inside the tearing radius,where most of disk material is likely to rapidly accrete onto SMBHs. In warpedand torn disks, both the tidal-warp and the tearing radii most strongly dependon the binary semi-major axis, although they also mildly depend on the otherorbital and disk parameters. This strong dependence enables us to estimate thesemi-major axis, once the tidal warp or tearing radius is determinedobservationally: For the tidal warp radius of 0.1 pc, the semi-major axis isestimated to be ~10^{-2} pc for 10^7 Msun black hole with typical orbital anddisk parameters. We also briefly discuss the possibility that central objectsof observed warped maser disks in active galactic nuclei are supermassive blackhole binaries.

Warping and tearing of misaligned circumbinary disks around eccentric SMBH binaries