Certain CFTs with a global $U(1)$ symmetry become superfluids when coupled to a chemical potential. When this happens, a Goldstone effective field theory controls the spectrum and correlators of the lightest large charge operators. We show that in 3d, this EFT contains a single parity-violating 1-derivative term with quantized coefficient. This term forces the superfluid ground state to have vortices on the sphere, leading to a spectrum of large charge operators that is remarkably richer than in parity-invariant CFTs. We test our predictions in a weakly coupled Chern-Simons matter theory.
Bootstrapping currents and stress tensors in 3d CFTs
Walter Burke Institute for Theoretical Physics, Caltech（加州理工学院沃尔特·伯克理论物理研究所）；Institut des Hautes Études Scientifiques（高等科学研究所）；Leinweber Institute for Theoretical Physics, Randall Laboratory of Physics, University of Michigan（密歇根大学莱因韦伯理论物理研究所）；Department of Mathematics, King’s College London（伦敦国王学院数学系）；Kavli Institute for Theoretical Physics, University of California, Santa Barbara（加州大学圣塔芭芭拉分校卡弗里理论物理研究所）；Department of Physics, Yale University（耶鲁大学物理系）
Scalar quasinormal modes of rotating black holes in parity-violating gravity
Tokyo Metropolitan University（东京都立大学）；Yukawa Institute for Theoretical Physics, Kyoto University（京都大学汤川理论物理研究所）；College of Humanities and Sciences, Nihon University（日本大学文理学部）；Chulalongkorn University（朱拉隆功大学）；The University of Tokyo（东京大学）
