281 citations · 1.2k across the 27 of their papers we have counts for
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When are Duality Defects Group-Theoretical?
Zhengdi Sun, Yunqin Zheng
A quantum field theory with a finite abelian symmetry may be equipped with a non-invertible duality defect associated with gauging . For certain , duality defects admit a…
Classification of chiral fermionic CFTs of central charge
Philip Boyle Smith, Ying-Hsuan Lin, Yuji Tachikawa +1
We classify two-dimensional purely chiral conformal field theories which are defined on two-dimensional surfaces equipped with spin structure and have central charge less than or e…
Symmetry TFTs and Anomalies of Non-Invertible Symmetries
Justin Kaidi, Emily Nardoni, Gabi Zafrir +1
It is known that the 't Hooft anomalies of invertible global symmetries can be characterized by an invertible TQFT in one higher dimension. The analogous statement remains to be un…
Symmetry TFTs for Non-Invertible Defects
Justin Kaidi, Kantaro Ohmori, Yunqin Zheng
Given any symmetry acting on a -dimensional quantum field theory, there is an associated -dimensional topological field theory known as the Symmetry TFT (SymTFT). The Sym…
Non-Invertible Symmetries of SYM and Twisted Compactification
Justin Kaidi, Gabi Zafrir, Yunqin Zheng
Non-invertible symmetries have recently been understood to provide interesting contraints on RG flows of QFTs. In this work, we show how non-invertible symmetries can also be used…
Kramers-Wannier-like duality defects in (3+1)d gauge theories
Justin Kaidi, Kantaro Ohmori, Yunqin Zheng
We introduce a class of non-invertible topological defects in (3+1)d gauge theories whose fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in…
Comments on compatibility between Conformal symmetry and Continuous higher-form symmetries
Yasunori Lee, Yunqin Zheng
We study the compatibility between the conformal symmetry together with the unitarity and the continuous higher-form symmetries. We show that the d-dimensional unitary conformal fi…
Fermionization and boundary states in 1+1 dimensions
Yoshiki Fukusumi, Yuji Tachikawa, Yunqin Zheng
In the last few years it was realized that every fermionic theory in 1+1 dimensions is a generalized Jordan-Wigner transform of a bosonic theory with a non-anomalous …
Higher Anomalies, Higher Symmetries, and Cobordisms II: Lorentz Symmetry Extension and Enriched Bosonic/Fermionic Quantum Gauge Theory
Zheyan Wan, Juven Wang, Yunqin Zheng
We systematically study Lorentz symmetry extensions in quantum field theories (QFTs) and their 't Hooft anomalies via cobordism. The total symmetry can be expressed in terms o…
Quantum 4d Yang-Mills Theory and Time-Reversal Symmetric 5d Higher-Gauge Topological Field Theory
Zheyan Wan, Juven Wang, Yunqin Zheng
We explore 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d gapped short/long-range entangled (SRE/LRE) topological states. Specifically, we explore 4d time-re…
New Higher Anomalies, SU(N) Yang-Mills Gauge Theory and Sigma Model
Zheyan Wan, Juven Wang, Yunqin Zheng
We hypothesize a new and more complete set of anomalies of certain quantum field theories (QFTs) and then give an eclectic verification. First, we propose a set of 't Hooft higher…