Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly
Y Hayashi, Y Tanizaki - Journal of High Energy Physics, 2022 - Springer
A bstract We study properties of self-duality symmetry in the Cardy-Rabinovici model. The
Cardy-Rabinovici model is the 4d U (1) gauge theory with electric and magnetic matters, and …
Cardy-Rabinovici model is the 4d U (1) gauge theory with electric and magnetic matters, and …
Anomalies in the space of coupling constants and their dynamical applications I
It is customary to couple a quantum system to external classical fields. One application is to
couple the global symmetries of the system (including the Poincar\'{e} symmetry) to …
couple the global symmetries of the system (including the Poincar\'{e} symmetry) to …
Flag manifold sigma models: spin chains and integrable theories
This review is dedicated to two-dimensional sigma models with flag manifold target spaces,
which are generalizations of the familiar CP n− 1 and Grassmannian models. They naturally …
which are generalizations of the familiar CP n− 1 and Grassmannian models. They naturally …
Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond N-ality
M Nguyen, Y Tanizaki, M Ünsal - Journal of High Energy Physics, 2021 - Springer
A bstract We study a 3d lattice gauge theory with gauge group U (1) N− 1⋊ SN, which is
obtained by gauging the SN global symmetry of a pure U (1) N− 1 gauge theory, and we call …
obtained by gauging the SN global symmetry of a pure U (1) N− 1 gauge theory, and we call …
Modified instanton sum in QCD and higher-groups
Y Tanizaki, M Ünsal - Journal of High Energy Physics, 2020 - Springer
A bstract We consider the SU (N) Yang-Mills theory, whose topological sectors are restricted
to the instanton number with integer multiples of p. We can formulate such a quantum field …
to the instanton number with integer multiples of p. We can formulate such a quantum field …
Circle compactification and't Hooft anomaly
A bstract Anomaly matching constrains low-energy physics of strongly-coupled field
theories, but it is not useful at finite temperature due to contamination from high-energy …
theories, but it is not useful at finite temperature due to contamination from high-energy …
Lattice quantum Villain Hamiltonians: compact scalars, U (1) gauge theories, fracton models and quantum Ising model dualities
L Fazza, T Sulejmanpasic - Journal of High Energy Physics, 2023 - Springer
A bstract We construct Villain Hamiltonians for compact scalars and abelian gauge theories.
The Villain integers are promoted to integral spectrum operators, whose canonical …
The Villain integers are promoted to integral spectrum operators, whose canonical …
Anomaly and global inconsistency matching: angles, nonlinear sigma model, chains, and generalizations
We discuss the SU (3)/[U (1)× U (1)] nonlinear sigma model in 1+ 1D and, more broadly, its
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …
Anomaly matching for the phase diagram of massless -QCD
We elucidate that the phase diagram of massless N-flavor QCD under a ZN flavor-twisted
boundary condition (massless ZN-QCD) is constrained by a't Hooft anomaly involving two …
boundary condition (massless ZN-QCD) is constrained by a't Hooft anomaly involving two …
Center vortex and confinement in Yang–Mills theory and QCD with anomaly-preserving compactifications
Y Tanizaki, M Ünsal - Progress of Theoretical and Experimental …, 2022 - academic.oup.com
We construct an anomaly-preserving compactification of 4D gauge theories, including SU
(N) Yang–Mills theory, supersymmetric Yang–Mills theory, and quantum chromodynamics …
(N) Yang–Mills theory, supersymmetric Yang–Mills theory, and quantum chromodynamics …