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Multi-wavelength simultaneous observations are essential to the constraintson the origin of fast radio bursts (FRBs). However, it is a significantobservational challenge due to the nature of FRBs as transients with a radiomillisecond duration, which occur randomly in the sky regardless of time andposition. Here, we report the search for short-time fast optical bursts in theGWAC archived data associated with FRB 20181130B, which were detected by theFive Hundred Meter Spherical Radio Telescope (FAST) and recently reported. Nonew credible sources were detected in all single GWAC images with an exposuretime of 10 s, including image with coverage of the expected arrival time inoptical wavelength by taking the high dispersion measurements into account. Ourresults provide a limiting magnitude of 15.43$\pm0.04$ mag in R band,corresponding to a flux density of 1.66 Jy or 8.35 mag in AB system by assumingthat the duration of the optical band is similar to that of the radio band ofabout 10 ms. This limiting magnitude makes the spectral index of $\alpha<0.367$from optical to radio wavelength. The possible existence of longer durationoptical emission was also investigated with an upper limits of 0.33 Jy (10.10mag), 1.74 mJy (15.80 mag) and 0.16 mJy (18.39 mag) for the duration of 50 ms,10 s and 6060 s, respectively. This undetected scenario could be partiallyattributed to the shallow detection capability, as well as the high inferreddistance of FRB 20181130B and the low fluence in radio wavelength. The futuredetectability of optical flashes associated with nearby and bright FRBs arealso discussed in this paper.

Constrains on optical emission of FAST-detected FRB 20181130B with GWAC synchronized observations