Theta, time reversal and temperature

  title={Theta, time reversal and temperature},
  author={Davide Gaiotto and Anton Kapustin and Z. Komargodski and Nathan Seiberg},
  journal={Journal of High Energy Physics},
A bstractSU(N ) gauge theory is time reversal invariant at θ = 0 and θ = π. We show that at θ = π there is a discrete ’t Hooft anomaly involving time reversal and the center symmetry. This anomaly leads to constraints on the vacua of the theory. It follows that at θ = π the vacuum cannot be a trivial non-degenerate gapped state. (By contrast, the vacuum at θ = 0 is gapped, non-degenerate, and trivial.) Due to the anomaly, the theory admits nontrivial domain walls supporting lower-dimensional… 

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