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Imaginary chemical potentials serve as a useful tool to constrain the QCDphase diagram and to gain insight into the thermodynamics of stronglyinteracting matter. In this study, we report on the first determination of thephase diagram for arbitrary imaginary baryon and isospin chemical potentials athigh temperature using one-loop perturbation theory, revealing a nontrivialstructure of Roberge-Weiss (RW) phase transitions in this plane. Subsequently,this system is simulated numerically with $N_{\rm f}=2$ unimproved staggeredquarks on $N_{\tau}=4$ lattices at a range of temperatures at one of the RWphase transitions. We establish a lower bound for the light quark mass, wherethe first-order transition line terminates in a tricritical point. It is foundthat this tricritical mass is increased as compared to the case of purelybaryonic imaginary chemical potentials, indicating that our setup is moreadvantageous for identifying critical behavior towards the chiral limit.Finally, the dynamics of local Polyakov loop clusters is also studied inconjuction with the RW phase transition.

The light Roberge-Weiss tricritical endpoint at imaginary isospin and baryon chemical potential