Abstract
We derive a selection rule among the ()-dimensional SU(2) Wess-Zumino-Witten theories, based on the global anomaly of the discrete symmetry found by Gepner and Witten. In the presence of both the SU(2) and symmetries, a renormalization-group flow is possible between level- and level- Wess-Zumino-Witten theories only if mod 2 . This classifies the Lorentz-invariant, SU(2)-symmetric critical behavior into two “symmetry-protected” categories corresponding to even and odd levels, restricting possible gapless critical behavior of translation-invariant quantum spin chains.
- Received 25 March 2015
DOI:https://doi.org/10.1103/PhysRevLett.118.021601
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Physics Subject Headings (PhySH)
Particles & Fields