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Hitoshi Murayama (Berkeley / Kavli IPMU)6/29/26, 9:30 AMinvited talk
Lattice fermions are now highly successful in describing dynamical degrees of freedom in gauge theories, in particular for precise predictions on the hadron spectra or muon anomalous magnetic moment. Yet chiral gauge theories are still at the frontier. So far, the only ideas about dynamics of chiral gauge theories have been the tumbling hypothesis, which postulates the non-perturbative...
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Dr Srimoyee Sen (Iowa State University)6/29/26, 11:00 AMinvited talk
Abstract: Four-dimensional chiral gauge theory can be formulated as the boundary theory on a five-dimensional manifold in a manner that may be realized on a finite lattice. There are interesting features of these theories which defy a purely four-dimensional conception of universality. We find that QCD when embedded in a chiral gauge theory (the Standard Model) and regulated this way appears...
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Yigal shamir (Tel Aviv University)6/29/26, 2:00 PMinvited talk
It is difficult to reconcile chiral symmetry with the lattice because of the fermion doubling problem. I start by explaining why simple solutions, that work for the global chiral symmetry of QCD, fail in the case of a chiral gauge theory. I will then introduce the "symmetric mass generation", or SMG, paradigm, which aims to decouple the fermion doublers by introducing judiciously chosen...
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Shoto Aoki (RIKEN iTHEMS)6/29/26, 3:30 PMinvited talk
We study the duality of lattice Maxwell theory in the modified Villain formulation, employing an ultra-local action with a theta term. Although this action is known to become non ultra-local through the Poisson resummation formula, we show that this non ultra-locality can be removed by incorporating a non-local transformation procedure into the definition of the $\mathcal{S}$-transformation....
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Shu-Heng Shao (Massachusetts Institute of Technology)6/30/26, 9:30 AMinvited talk
We present an explicit Hamiltonian that realizes an exact lattice chiral U(1)_V x U(1)_A recently proposed. Nielsen-Ninomiya-type no-go theorems are evaded by using lattice bosons rather than fermions. The continuum limit is a compact boson field theory with an axion-like coupling. While U(1)_V shifts the lattice scalar, U(1)_A acts on short axion string excitations. We demonstrate the chiral...
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Yoshio Kikukawa (University of Tokyo)6/30/26, 11:00 AMinvited talk
We first discuss the reflection positivity in the path-integral formalism of Spin(10) chiral lattice gauge theory with overlap Weyl fermions,
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where the fermion path-integral measure is formulated by the complete saturation of ’t Hooft vertecies in right-handed components.
We next examine the relation of domain-wall fermion in Hamilotnian formalism to Creutz-Horvath-Neuberger (CHN) Dirac... -
Cenke Xu (University of California, Santa Barbara)6/30/26, 2:00 PMinvited talk
We first review the basic concept, necessary conditions, and well-known examples of symmetric mass generation. Then we will apply these general ideas to lattice-QCD, focusing on the staggered fermions. We also discuss the current status of the efforts of observing SMG in lattice-QCD.
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Tatsuya Yamaoka (The University of Osaka)6/30/26, 3:30 PMoral talk
We discuss taste-splitting mass terms and their symmetries in the 3+1 dimensional staggered fermion system, and show that the one-link mass term in the x-direction preserves the largest symmetry. Using this mass term, we construct a 2+1 dimensional boundary theory and demonstrate that the flavor SU(2) symmetry and parity anomaly of the boundary theory are reproduced by the conserved charges...
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Latham Boyle (University of Edinburgh)6/30/26, 4:00 PMoral talk
We propose a way to formulate a realistic chiral gauge theory like the standard model on a lattice (or a general simplicial complex in curved spacetime), so that it has the correct continuum limit, with the correct symmetries and (co)homological properties, and no unwanted doublers or anomalies. Building on recent ideas of Catterall and collaborators, our approach uses restricted Kahler-Dirac...
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Hersh Singh (Fermilab)7/1/26, 9:30 AMinvited talk
We study quantum simulation algorithms for two formulations of Hamiltonian lattice fermions with an exact chiral symmetry based on the domain-wall and overlap formulations. We present a quantum simulation algorithm based on Quantum Signal Processing (QSP), which optimally preserves the Ginsparg-Wilson (GW) relation and therefore the chiral symmetry. We show how QSP effectively constructs an...
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Daisuke Yamamoto (CHS, Nihon University)7/1/26, 11:00 AMinvited talk
We propose a qubit-based framework for quantum simulations of quantum field theories in curved spacetimes using quantum spin systems. Starting from a spin-1/2 Hamiltonian with spatially and temporally varying exchange couplings and magnetic fields, we first map the system through the Jordan-Wigner transformation to a lattice Hamiltonian of Majorana fermions. Taking the continuum limit, the...
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Ryohei Kobayashi (University of Tokyo)7/1/26, 2:00 PMinvited talk
I will talk about a way to characterize anomalies of higher-form symmetries in lattice models. I also plan to mention higher-form anomalies intrinsic in (2+1)D fermionic systems and their lattice realizations, based on an ongoing work with Matthew Yu.
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Kazutoshi Ohta (Meiji Gakuin University)7/1/26, 3:30 PMinvited talk
We propose a construction of fermions on arbitrary graphs, regarded as discrete space-time. In our framework, the Dirac operator for fermions on the graph is formulated in terms of an incidence matrix deformed by specific parameters. Consequently, the partition function of the model is given by the inverse of the graph zeta function (Ihara zeta function). We explore the physical significance...
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Ryan Thorngren (UCLA)7/2/26, 9:30 AMinvited talk
We propose a Hamiltonian framework for constructing chiral gauge
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theories on the lattice based on symmetry disentanglers: constant-depth
circuits of local unitaries that transform not-on-site symmetries into on-
site ones. When chiral symmetry can be realized not-on-site and such a
disentangler exists, the symmetry can be implemented in a strictly local
Hamiltonian and gauged by standard... -
Lei Gioia Yang (California Institute of Technology)7/2/26, 11:00 AMoral talk
We construct Hamiltonian models on a 3+1D cubic lattice for a single Weyl fermion and for a single Weyl doublet protected by exact (as opposed to emergent) chiral symmetries. In the former, we find a not-on-site, noncompact chiral symmetry which can be viewed as a Hamiltonian analog of the Ginsparg-Wilson symmetry in Euclidean lattice models of Weyl fermions. In the latter, we combine an...
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Dr Tokiro Numasawa (The University of Tokyo)7/2/26, 11:30 AMoral talk
We study the Lieb-Schultz-Mattis anomaly in Majorana chains with dissipation.
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In Hamiltonian systems, Majorana translations flow to chiral fermion parity symmetries in the continuum limit.
In this talk, we investigate the relation between Majorana translations and chiral fermion parity in open quantum systems.
We present an anomaly among weak and strong symmetries that is peculiar to open... -
28. Lattice 2D $U(1)$ chiral gauge theory and magnetically charged vertex operators via bosonizationOkuto Morikawa (RIKEN)7/2/26, 2:00 PMinvited talk
Two-dimensional Abelian chiral gauge theories provide a useful setting for studying the interplay between gauge invariance, locality, and anomalies on the lattice. In this talk, I will discuss a lattice formulation of 2D $U(1)$ chiral gauge theory based on bosonization, with particular emphasis on magnetically charged vertex operators.
In the bosonized description, charged fermionic...
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Alvaro Pastor Gutierrez (RIKEN iTHEMS)7/2/26, 3:40 PMposter
The infrared structure of gauge theories with chiral fermions remains largely unexplored. In this talk I will investigate the Bars-Yankielowicz class using the functional renormalisation group, building on recent developments in gauge-fermion systems that provide clear criteria for confinement and dynamical symmetry breaking.
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We show that two distinct phases arise: one exhibiting both... -
Yuki Furukawa (University of Tokyo)7/2/26, 3:40 PMposter
In this work, we study exotic theta terms in the 2+1d $\phi$-theory, which provides a continuum description of the XY-plaquette model. The $\phi$-theory can be viewed as a fractonic analogue of the 1+1d compact boson and exhibits momentum and winding subsystem symmetries. In this theory, discontinuous field configurations play a crucial role. Although such configurations spoil the naive...
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Pasquale MArra (Sophia U)7/2/26, 3:40 PMposter
I found an extended duality (triality) between Dirac fermions in periodic spacetime metrics, nonrelativistic fermions in gauge fields (e.g., Harper-Hofstadter model), and in periodic scalar fields on a lattice (e.g., Aubry-André model). This indicates an unexpected equivalence between spacetime metrics, gauge fields, and scalar fields on the lattice, which is understood as different physical...
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Shunsuke Yasunaga (Institute of Science Tokyo)7/2/26, 3:40 PMposter
Domain-wall fermions provide a good lattice realization of chiral fermions by introducing an additional fifth dimension. At finite fifth-dimensional extent, residual chiral symmetry breaking remains and is characterized by the residual mass. We propose a machine-learning-based parameter-optimization approach to reduce the residual mass while keeping the fifth dimension short. This method aims...
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Sho Araki (Osaka university)7/2/26, 3:40 PMposter
Symmetric mass generation (SMG) is a mechanism for opening a gap
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without spontaneous breaking of symmetry,
which was first shown in the 1-dimensional Maojorana chain model by
Fidkowski and Kitaev(FK).
We consider the path-integral of the FK model on a 2-dimensional lattice
with and without domain-walls.
We numerically show that the $Z_8$ structure is properly encoded in
the Majorana... -
vatsalya vaibhav (Higgs Centre for Theoretical Physics, University of Edinburgh)7/2/26, 3:40 PMposter
We will look at the challenges faced in a field theoretic formulation of path-integral for chiral fermions in Euclidean signature. We point out a possible resolution to these challenges using the worldline formalism. To discuss the chiral nature of the theory, we consider a worldline action for Kahler-Dirac fermions on the lattice, and discuss the relationship to random walks and the 1D Ising...
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Dr Atsushi Ueda (Ghent University)7/3/26, 9:30 AMinvited talk
What happens when a charged chiral fermion interacts with a monopole? This fundamental question has arisen within the standard model. Callan discovered that what bounces back is not the original fermion but rather a particle that sometimes has a fractional charge, suggesting a fraction of electrons. This paradox, known as the "monopole paradox," has long posed interpretative challenges....
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Dr Vladimir Zakharov (Lorentz Institute, Leiden University)7/3/26, 11:00 AMinvited talk
Massless chiral fermions can become massive without spontaneous symmetry breaking for a special class of “anomaly-free” interactions. This phenomenon of “symmetric mass generation” (SMG) has been demonstrated numerically on a two-dimensional lattice, for a local discretization with a sine dispersion that doubles the fermion number. Here we demonstrate the effect on a one-dimensional lattice,...
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Yukimi Goto (東京大学)7/3/26, 2:00 PMinvited talk
In this talk, I discuss a lattice Nambu–Jona-Lasinio model with certain continuous chiral and two-flavor symmetries.
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For the Hamiltonian of this model, we construct a ground state that simultaneously breaks parity and flavor symmetries.
This phase structure may be viewed as analogous to the Aoki phase, although the model does not contain a Wilson term. -
Hidenori Fukaya (Osaka Univ.)7/3/26, 3:30 PMinvited talk
We employ $K$-theory to classify the Wilson Dirac operators to study gauge field topology on the lattice. In contrast to the index of the overlap Dirac operator defined through the Ginsparg-Wilson relation, which is restricted to flat tori in even dimensions, our formulation offers several key advantages: 1) It can be applied straightforwardly to the Atiyah-Patodi-Singer index for manifolds...
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