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K-theoretic Global Symmetry in String-constructed QFT and T-duality

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arXiv:2404.16097v1 Announce Type: new
Abstract: We propose that generalized symmetries in some string-constructed QFTs are given by twisted K-theory, so as to be manifestly consistent under T-duality. We thus have \textit{even-form} and \textit{odd-form} symmetries determined by $K^*_N(\partial X)$, the twisted K-theory as D-brane charges on the asymptotic boundary $\partial X$ of internal geometry $X$ with twist class $N$. For these QFTs, "\textit{$p$-form symmetries}" are no longer separately well-defined for individual $p$, but instead mixed up. We discuss 6D ADE-type (2,0) SCFTs and some 6d (1,0) LSTs as examples, and demonstrate their twisted K-theoretic symmetries to be consistent with T-duality.

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