281 citations · 1.2k across the 27 of their papers we have counts for
27 papers
Proliferation Transitions for Non-Abelian Anyons
Sakura Schafer-Nameki, Yunqin Zheng, Andrea Antinucci
We construct phase transitions that proliferate condensable anyons in general 2+1d topological orders, including non-abelian ones. The central tool that provides a systematic appro…
Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
Linhao Li, Masaki Oshikawa, Yunqin Zheng
The Kennedy-Tasaki (KT) transformation was used to construct the gapped symmetry protected topological (SPT) phase from the symmetry breaking phase with open boundary condition, an…
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…
Subsystem Non-Invertible Symmetry Operators and Defects
Weiguang Cao, Linhao Li, Masahito Yamazaki +1
We explore non-invertible symmetries in two-dimensional lattice models with subsystem symmetry. We introduce a subsystem -gauging procedure, called the s…
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…
Non-Invertible Duality Transformation Between SPT and SSB Phases
Linhao Li, Masaki Oshikawa, Yunqin Zheng
In 1992, Kennedy and Tasaki constructed a non-local unitary transformation that maps between a spontaneously symmetry breaking phase and the Halda…
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…
Boson-fermion duality with subsystem symmetry
Weiguang Cao, Masahito Yamazaki, Yunqin Zheng
We explore an exact duality in d between the fermionization of a bosonic theory with a subsystem symmetry and a fermionic theory with a subsyst…
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…
Decorated Defect Construction of Gapless-SPT States
Linhao Li, Masaki Oshikawa, Yunqin Zheng
Symmetry protected topological (SPT) phases are one of the simplest, yet nontrivial, gapped systems that go beyond the Landau paradigm. In this work, we study an extension of the n…
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 …
Chiral Approximation to Twisted Bilayer Graphene: Exact Intra-Valley Inversion Symmetry, Nodal Structure and Implications for Higher Magic Angles
Jie Wang, Yunqin Zheng, Andrew J. Millis +1
This paper presents a mathematical and numerical analysis of the flatband wavefunctions occurring in the chiral model of twisted bilayer graphene at the "magic" twist angles. We sh…
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…
Gauge Enhanced Quantum Criticality and Time Reversal Domain Wall: SU(2) Yang-Mills Dynamics with Topological Terms
Juven Wang, Yi-Zhuang You, Yunqin Zheng
We explore the low energy dynamics of the four siblings of Lorentz symmetry enriched SU(2) Yang-Mills theory with a theta term at in d. Due to a mixed anomaly between…
Multi-Layer Restricted Boltzmann Machine Representation of 1D Quantum Many-Body Wave Functions
Huan He, Yunqin Zheng, B. Andrei Bernevig +1
We consider representing two classes of 1D quantum wave functions of spin systems, including the AKLT and CFT correlator wave functions, in terms of multi-layer restricted Boltzman…
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…
Restricted Boltzmann Machines and Matrix Product States of 1D Translational Invariant Stabilizer Codes
Yunqin Zheng, Huan He, Nicolas Regnault +1
We discuss the relations between restricted Boltzmann machine (RBM) states and the matrix product states (MPS) for the ground states of 1D translational invariant stabilizer codes.…
Tunneling Topological Vacua via Extended Operators: (Spin-)TQFT Spectra and Boundary Deconfinement in Various Dimensions
Juven Wang, Kantaro Ohmori, Pavel Putrov +6
Distinct quantum vacua of topologically ordered states can be tunneled into each other via extended operators. The possible applications include condensed matter and quantum cosmol…
Entanglement entropy of (3+1)D topological orders with excitations
Xueda Wen, Huan He, Apoorv Tiwari +2
Excitations in (3+1)D topologically ordered phases have very rich structures. (3+1)D topological phases support both point-like and string-like excitations, and in particular the l…
Entanglement Entropy From Tensor Network States for Stabilizer Codes
Huan He, Yunqin Zheng, B. Andrei Bernevig +1
In this paper, we present the construction of tensor network states (TNS) for some of the degenerate ground states of 3D stabilizer codes. We then use the TNS formalism to obtain t…