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We explore 4-dimensional SU(N) gauge theory with a Weyl fermion in an irreducible self-conjugate representation. This theory, in general, has a discrete chiral symmetry. We use 't Hooft anomaly matching condition of the center symmetry and…

High Energy Physics - Theory · Physics 2019-01-30 Satoshi Yamaguchi

The anomaly polynomial of a theory can involve not only curvature two-forms of the flavor symmetry background but also two-forms on the space of coupling constants. As an example, we point out that there is a mixed anomaly between the…

High Energy Physics - Theory · Physics 2018-02-28 Yuji Tachikawa , Kazuya Yonekura

We study non-abelian gauge theories with fermions in a representation such that the surviving electric 1-form symmetry is $\mathbb{Z}_2$. This includes $SU(N)$ gauge theories with matter in the (anti)symmetric and $N$ even, and $USp(2N)$…

High Energy Physics - Theory · Physics 2023-09-18 Riccardo Argurio , Romain Vandepopeliere

Here we consider a one-dimensional $q$-state Potts model with an external magnetic field and an anisotropic interaction that selects neighboring sites that are in the spin state 1. The present model exhibits an unusual behavior in the…

Statistical Mechanics · Physics 2021-06-09 Yury Panov , Onofre Rojas

We explore the effects of breaking and restoration of chiral and axial symmetries using an extended three-flavor Nambu-Jona-Lasinio model that incorporates explicitly the axial anomaly through the 't Hooft interaction. We implement a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

Recently, the LHC has found several anomalies in exclusive semileptonic b --> s l^+ l^- decays. In this proceeding, we summarize the most important results of our global analysis of the relevant decay modes. After a discussion of the…

High Energy Physics - Phenomenology · Physics 2016-05-20 Sébastien Descotes-Genon , Lars Hofer , Joaquim Matias , Javier Virto

Symmetry breaking of continuous symmetries by extended dynamical defects entails the existence of defect families, which form conformal manifolds in a critical setup. In the presence of bulk 't Hooft anomalies, defects are in fact required…

High Energy Physics - Theory · Physics 2026-01-15 Christian Copetti

The spontaneous breaking of CP symmetry in 4D SU($N$) pure Yang-Mills theory at $\theta=\pi$ has recently attracted much attention in the context of the higher-form symmetry and the 't Hooft anomaly matching condition. Here we use Monte…

High Energy Physics - Theory · Physics 2025-05-09 Mitsuaki Hirasawa , Masazumi Honda , Akira Matsumoto , Jun Nishimura , Atis Yosprakob

We consider the three flavor Nambu-Jona-Lasinio model with the 't Hooft interaction incorporating the U(1)_A anomaly. In order to set the coupling strength of the 't Hooft term, we employ the topological susceptibility $\chi$ instead of the…

Nuclear Theory · Physics 2009-11-07 K. Ohnishi , K. Fukushima , K. Ohta

We define an 't Hooft anomaly index for a group acting on a 2d quantum lattice system by finite-depth circuits. It takes values in the degree-4 cohomology of the group and is an obstruction to on-siteability of the group action. We…

Mathematical Physics · Physics 2025-09-08 Anton Kapustin , Shixiong Xu

We study generalized global symmetries and their 't Hooft anomalies in 3d N=4 superconformal field theories (SCFTs). Following some general considerations, we focus on good quiver gauge theories, comprised of balanced unitary nodes and…

High Energy Physics - Theory · Physics 2024-03-20 Lakshya Bhardwaj , Mathew Bullimore , Andrea E. V. Ferrari , Sakura Schafer-Nameki

In this paper, we study the phenomenon of Hopf or more specifically quantum double symmetry breaking. We devise a criterion for this type of symmetry breaking which is more general than the one existing in the literature, and therefore…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 F. A. Bais , C. J. M. Mathy

In many extensions of the Standard Model, the alignment in flavor space of the fermion mass matrices and the Yukawa coupling matrices can be broken. The physical scalar boson $h(125)$ could then have flavor changing couplings. In this talk,…

High Energy Physics - Phenomenology · Physics 2016-05-11 Joachim Kopp

We study duality defects in 2+1d theories with $\bZ^{(0)}_N\times\bZ^{(1)}_N$ global symmetry and trivial mixed 't Hooft anomaly. By gauging these symmetries simultaneously in half of the spacetime, we define duality defects for theories…

High Energy Physics - Theory · Physics 2024-12-02 Wei Cui , Babak Haghighat , Lorenzo Ruggeri

We study 't Hooft anomalies and the related anomaly inflow for subsystem global symmetries. These symmetries and anomalies arise in a number of exotic systems, including models with fracton order such as the X-cube model. As is the case for…

Strongly Correlated Electrons · Physics 2022-08-31 Fiona J. Burnell , Trithep Devakul , Pranay Gorantla , Ho Tat Lam , Shu-Heng Shao

We deal with the presence of magnetic monopoles in a non Abelian model that generalizes the standard 't~Hooft-Polyakov model in three spatial dimensions. We investigate the energy density of the static and spherically symmetric solutions to…

High Energy Physics - Theory · Physics 2018-08-08 D. Bazeia , M. A. Marques , Gonzalo J. Olmo

Standard lore uses local anomalies to check the kinematic consistency of gauge theories coupled to chiral fermions, e.g. Standard Models (SM). Based on a systematic cobordism classification, we examine constraints from invertible quantum…

High Energy Physics - Theory · Physics 2020-12-24 Juven Wang

We present a class of warped extra dimension (composite Higgs) models which conjointly accommodates the t\bar t forward-backward asymmetry observed at the Tevatron and the direct CP asymmetry in singly Cabibbo suppressed D decays first…

High Energy Physics - Phenomenology · Physics 2015-06-11 Leandro Da Rold , Cédric Delaunay , Christophe Grojean , Gilad Perez

We study popular scalar extensions of the Standard Model, namely the singlet extension, the 2-Higgs doublet model (2HDM) and its extension by a singlet scalar. We focus on the contributions of the added scalars to the anomalous magnetic…

High Energy Physics - Phenomenology · Physics 2018-10-17 Venus Keus , Niko Koivunen , Kimmo Tuominen

The discrepancy between the measured value and the Standard Model prediction for the muon anomalous magnetic moment is one of the important issues in the particle physics. In this paper, we consider a two Higgs doublet model (2HDM) where…

High Energy Physics - Phenomenology · Physics 2020-01-29 Syuhei Iguro , Yuji Omura , Michihisa Takeuchi
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