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Article overview
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Symmetry protection of critical phases and global anomaly in $1+1$ dimensions | Shunsuke C. Furuya
; Masaki Oshikawa
; | Date: |
25 Mar 2015 | Abstract: | We derive a selection rule among the $(1+1)$-dimensional SU(2)
Wess-Zumino-Witten theories, based on the global anomaly of the discrete
$mathbb{Z}_2$ symmetry found by Gepner and Witten. In the presence of both the
SU(2) and $mathbb{Z}_2$ symmetries, an RG flow is possible between level-$k$
and level-$k’$Wess-Zumino-Witten theories only if $kequiv k’ mod{2}$. This
classifies the Lorentz-invariant, SU(2)-symmetric critical behaviors into two
"symmetry-protected" categories, corresponding to even and odd levels. | Source: | arXiv, 1503.7292 | Services: | Forum | Review | PDF | Favorites |
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