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We present the discovery of the variable optical and X-ray counterparts tothe radio millisecond pulsar (MSP) PSR J1306-40, recently discovered by Keaneet al. We find that both the optical and X-ray fluxes are modulated with thesame period, which allows us to measure for the first time the orbital periodP$_{\rm orb}$=1.09716[6] d. The optical properties are consistent with a mainsequence companion with spectral type G to mid K and, together with the X-rayluminosity (8.8$\times$10$^{31}$ erg s$^{-1}$ in the 0.5-10 keV band, for adistance of 1.2 kpc), confirm the redback classification of this pulsar. Ourresults establish the binary nature of PSR J1306-40, which has the longestP$_{\rm orb}$ among all known compact binary MSPs in the Galactic disk. Webriefly discuss these findings in the context of irradiation and intrabinaryshock emission in compact binary MSPs.

The 26.3-hr orbit and multi-wavelength properties of the "redback" millisecond pulsar PSR J1306-40