28 citations · 127 across the 25 of their papers we have counts for
26 papers
Difference between pair creation and anomaly matching: Nontrivial aspects of invertible symmetries and defects in models
Yoshiki Fukusumi, Shuma Nakashiba
We study the connection between the Wess-Zumino-Witten (WZW) model and WZW model, enforcing the symmetries. The fundamental underlying str…
Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions
Yoshiki Fukusumi, Yuma Furuta
We study the role of generalized symmetry in massless renormalization group flows or Higgs transitions. In particular, we revisit the massless renormalization group flows in unitar…
Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries
Yoshiki Fukusumi, Shuma Nakashiba
We study the classification of the gapped phases or massive renormalization group (RG) flows dual to the massless RG flows under changing the sign of the coupling constants. Wherea…
Boundary critical phenomena in the quantum Ashkin-Teller model
Yifan Liu, Natalia Chepiga, Yoshiki Fukusumi +1
We investigate the boundary critical phenomena of the one-dimensional quantum Ashkin-Teller model using boundary conformal field theory and density matrix renormalization group (DM…
Classifying fusion rules of anyons or SymTFTs: A general algebraic formula for domain wall problems and quantum phase transitions
Yoshiki Fukusumi
We propose a formula for the transformation law of anyons in topologically ordered phases or topological quantum field theories (TQFTs) through a gapped or symmetry-preserving doma…
Generalizing fusion rules by shuffle: Symmetry-based classifications of nonlocal systems constructed from similarity transformations
Yoshiki Fukusumi, Taishi Kawamoto
We study fusion rings, or symmetry topological field theories (SymTFTs), which lie outside the non-negative integer matrix representation (NIM-rep), by combining knowledge from gen…
Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls
Yoshiki Fukusumi, Taishi Kawamoto
We study conformal field theories (CFTs) and their classifications from a modern perspective based on the abstract algebraic formalism of symmetries or conserved charges, known as…
Extending fusion rules with finite subgroups: A general construction of extended conformal field theories and their orbifoldings
Yoshiki Fukusumi, Shinichiro Yahagi
We construct the symmetry extended fusion ring of bulk and chiral theories and the corresponding modular partition functions with nonanomalous subgroup $Z_{n}(\subset Z_{N}…
Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
Yoshiki Fukusumi, Yuma Furuta
We propose a general quantum Hamiltonian formalism of a renormalization group (RG) flow with an emphasis on generalized symmetry by interpreting the elementary relationship between…
Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
Yoshiki Fukusumi
We study gauging operations (or group extensions) in (smeared) boundary conformal field theories (BCFTs) and bulk conformal field theories, and their applications to various phenom…
Edge modes of topologically ordered systems as emergent integrable flows: Robustness of algebraic structures in nonlinear quantum fluid dynamics
Yoshiki Fukusumi
In these decades, it has been gradually established that edge modes of a wide class of topologically ordered systems are governed by the bulk-edge correspondence and anyon condensa…
Fusion rule in conformal field theories and topological orders: A unified view of correspondence and (fractional) supersymmetry and their relation to topological holography
Yoshiki Fukusumi
The algebraic or ring structure of anyons, called the fusion rule, is one of the most fundamental research interests in contemporary studies on topological orders (TOs) and the cor…
Protected edge modes based on the bulk and boundary renormalization group: A relationship between duality and generalized symmetry
Yoshiki Fukusumi
We propose a theoretical formulation of protected edge modes in the language of quantum field theories based on the contemporary understanding of the renormalization group. We use…
Operator-state correspondence in simple current extended conformal field theories: Toward a general understanding of chiral conformal field theories and topological orders
Yoshiki Fukusumi, Guangyue Ji, Bo Yang
In this work, we revisit the operator-state correspondence in the Majorana conformal field theory (CFT) with emphasis on its semion representation. Whereas the semion representatio…
Composing parafermions: a construction of fractional quantum Hall systems and a modern understanding of confinement and duality
Yoshiki Fukusumi
In this work, we propose a modern view of the integer spin simple currents which have played a central role in discrete torsion. We reintroduce them as nonanomalous composite parti…
Gaplessness protected by bulk-edge correspondence
Yoshiki Fukusumi
After almost half a century of Laughlin's celebrated study of the wavefunctions of integer and fractional quantum Hall effects, there have still existed difficulties to prove wheth…
Fermionic fractional quantum Hall states: A modern approach to systems with bulk-edge correspondence
Yoshiki Fukusumi, Bo Yang
In contemporary physics, especially in condensed matter physics, fermionic topological order and its protected edge modes are one of the most important objects. In this work, we pr…
Kubo's response theory and bosonization with a background gauge field and irrelevant perturbations
Yoshiki Fukusumi, Osor S. Barišić
Using conformal field theory calculations of the energy spectrum, within the XXZ model we investigate effects of the flux insertion and the Umklapp term. We discuss two approaches…
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 …
Spin interfaces and crossing probabilities of spin clusters in parafermionic models
Yoshiki Fukusumi, Marco Picco, Raoul Santachiara
We consider fractal curves in two-dimensional spin lattice models. These are N states spin models that undergo a continuous ferromagnetic-paramagnetic phase transition descri…
Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
Yoshiki Fukusumi, Shumpei Iino
We study the realizations of topological defects in 1d quantum Ising model with open boundary condition at criticality. Applying the construction discussed in [M. Hauru, G. Evenbly…
Bosonization with a background gauge field
Yuan Yao, Yoshiki Fukusumi
Bosonization is one of the most significant frameworks to analyze fermionic systems. In this work, we propose a new bosonization of Dirac fermion coupled with background gau…
Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
Chung-Yu Lo, Yoshiki Fukusumi, Masaki Oshikawa +2
An impurity in a Tomonaga-Luttinger liquid leads to a crossover between short- and long-distance regime which describes many physical phenomena. However, calculation of the entire…
Scaling of polarization amplitude in quantum many-body systems in one dimension
Ryohei Kobayashi, Yuya O. Nakagawa, Yoshiki Fukusumi +1
Resta proposed a definition of the electric polarization in one-dimensional systems in terms of the ground-state expectation value of the large gauge transformation operator. Vanis…