  The problem of a heavy quark-anti-quark pair which have constant eternal
acceleration in opposite directions in the vacuum of deconfined maximally
supersymmetric Yang-Mills theory is studied both in perturbation theory and at
strong coupling using AdS/CFT. Perturbation theory is summed to obtain what is
conjectured to be an exact result. It is shown to agree with a particular
prescription for computing the disc amplitude in the string theory dual and it
yields a value $s=\sqrt{\lambda}$ for the entanglement entropy of the quark and
anti-quark.
