I was just skimming a new paper on how to state "duality invariant" theories, like electromagnetism with both electric and magnetic charges. In talking about the 6d (2,0) family of theories, it says (equation 4.1) that an auxiliary vector field that breaks Lorentz covariance is often needed, in order to make the overall theory Lorentz-invariant. This immediately reminded me e.g. of the "impostor field" appearing in a form of modified gravity due to Sabine Hossenfelder, and which has been used to model MOND. Can the auxiliary vector field of the duality-invariant theories be used in this way?
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