We investigate the arrival time and the Faraday rotation of extragalactic electromagnetic signals coming from fast radio bursts (FRBs) and propagating through chiral cosmic media within the framework of the Maxwell-Carroll-Field-Jackiw (MCFJ) electrodynamics. By treating the interstellar medium as a cold, ionized chiral plasma, we derive the time delay between two traveling signals and express it in terms of modified dispersion measures (DMs) containing chiral contributions. The Faraday rotation angle is written in terms of modified rotation measures (RMs). By combining the DMs and redshift data from a set of FRBs, we achieve constraints on the chiral parameter magnitude at the order of ${10}^{-26}-{10}^{-24}\mathrm{GeV}$. The Faraday rotation formulae and RM measurements yield upper bounds as stringent as ${10}^{-43}\mathrm{GeV}$ on the MCFJ parameters.

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• Extensions of gauge sector
• Faraday effect
• Plasma optics
• Transient & explosive astronomical phenomena
• Neutron stars & pulsars