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Recently, DeLaunay et al. (2016) discovered a gamma-ray transient, SwiftJ0644.5-5111, associated with the fast radio burst (FRB) 131104. They alsoreported follow-up broadband observations beginning two days after the FRB andprovided upper limits on a putative afterglow of this transient. In this paper,we show that if such a transient drives a relativistic shock as in acosmological gamma-ray burst (GRB), these upper limits are consistent with anenvironment of which density is much less than that of an interstellar mediumbut typical for the outskirts' density of a galaxy when the typical values ofthree microphysical parameters of the shock are taken. This appears to beinconsistent with the catastrophic event models in which the central engine ofSwift J0644.5-5111 is surrounded by an interstellar medium, but together withthe properties of the gamma-ray transient, favors the binary neutron starmerger origin. We further constrain the physical parameters of the postmergerobject by assuming that Swift J0644.5-5111 results from internal dissipation ofa spinning-down pulsar wind, and we find that the postmerger object is anultra-strongly magnetized, very rapidly rotating pulsar. This merger eventshould have given birth to a gravitational wave burst, an FRB, and a short GRBor an extended X-ray/gamma-ray emission if a relativistic jet of the GRB ismissed. Such "triplets" would be testable in the near future with the advancedLIGO and Virgo gravitational-wave observatories.

Could FRB 131104 Originate from the Merger of Binary Neutron Stars?