At finite temperature, anomaly is generally known to be contaminated, and thus the 't Hooft anomaly matching does not work after thermal compactification. Meanwhile, I have read paper saying that anomaly from higher-form symmetry can remains robust even at finite temperature, e.g.,
- "Circle compactification and ’t Hooft anomaly" , by Yuya Tanizaki, Tatsuhiro Misumi, Norisuke Sakaic;
- "Theta, Time Reversal, and Temperature", by Davide Gaiotto, Anton Kapustin, Zohar Komargodski, and Nathan Seiberg.
However, I do not understand their derivations, can any one help to comment/explain on this?
