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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

We explicitly calculate the topological terms that arise in IR effective field theories for $SU(N)$ gauge theories on $\mathbb{R}^3 \times S^1$ by integrating out all but the lightest modes. We then show how these terms match all…

High Energy Physics - Theory · Physics 2021-02-03 Erich Poppitz , F. David Wandler

We present a simple argument which seems to favor, when applied to a large class of strongly-coupled chiral gauge theories, a dynamical-Higgs-phase scenario, characterized by certain bifermion condensates. Flavor symmetric confining vacua…

High Energy Physics - Theory · Physics 2021-09-01 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio

The symmetries and dynamics of simple chiral $SU(N)$ gauge theories, with matter Weyl fermions in a two-index symmetric tensor and $N+4$ anti-fundamental representations, are examined, by taking advantage of the recent developments…

High Energy Physics - Theory · Physics 2020-05-22 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio

A simple model of dark matter contains a light Dirac field charged under a hidden U(1) gauge symmetry. When a chiral matter content in a strong dynamics satisfies the t'Hooft anomaly matching condition, a massless baryon is a natural…

High Energy Physics - Phenomenology · Physics 2019-09-04 Ayuki Kamada , Masaki Yamada , Tsutomu T. Yanagida

In a large class of chiral gauge theories in four dimensions it was found that certain natural assumption about the bifermion condensates leads to the infrared effective theory where the 't Hooft anomaly matching conditions are satisfied in…

High Energy Physics - Theory · Physics 2024-10-03 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio , Matteo Orso

We describe the anomaly structure of an composite Higgs model in which the $SO(5)/SO(4)$ coset structure of the minimal model is extended by an additional, non-linearly-realized $U(1)_{\eta}$. In addition, we show that the effective…

High Energy Physics - Phenomenology · Physics 2017-02-01 Ben Gripaios , Marco Nardecchia , Tevong You

The low energy effective theory of the N=1 supersymmetric SU(5) gauge theory with chiral superfields in the 5* and 10 representations is constructed. Instead of postulating the confinement of SU(5) (confining picture), only the confinement…

High Energy Physics - Theory · Physics 2009-10-30 Noriaki Kitazawa

On the basis of an observation due to Kiskis, Narayanan and Neuberger, we show that there is a remnant of chiral anomalies in the reduced model when a Dirac operator which obeys the Ginsparg-Wilson relation is employed for the fermion…

High Energy Physics - Lattice · Physics 2009-11-07 Yoshio Kikukawa , Hiroshi Suzuki

Strongly interacting massive particles are viable dark matter candidates. We consider a dark $Sp(4)$ gauge theory with $N_f=2$ fermions in the pseudo-real fundamental representation and construct the chiral low-energy effective theory. We…

High Energy Physics - Phenomenology · Physics 2023-03-22 Suchita Kulkarni , Axel Maas , Seán Mee , Marco Nikolic , Josef Pradler , Fabian Zierler

We study the discrete chiral- and center-symmetry 't Hooft anomaly matching in the charge-$q$ two-dimensional Schwinger model. We show that the algebra of the discrete symmetry operators involves a central extension, implying the existence…

High Energy Physics - Theory · Physics 2018-10-17 Mohamed M. Anber , Erich Poppitz

We build a matrix model of a chiral [SU(N)]^K gauge theory (5D SQCD deconstructed down to 4D) using random unitary matrices to model chiral bifundamental fields (N,N-bar) (without (N-bar,N)). We verify the duality by matching the loop…

High Energy Physics - Theory · Physics 2009-11-11 Edoardo Di Napoli , Vadim S. Kaplunovsky

Inspired by the Standard Model of particle physics, we discuss a mechanism for constructing chiral, anomaly-free gauge theories. The gauge symmetries and particle content of such theories are identified using subgroups and complex…

High Energy Physics - Phenomenology · Physics 2016-08-17 Jeffrey M. Berryman , André de Gouvêa , Daniel Hernández , Kevin J. Kelly

We show how to extend the 't Hooft anomaly matching conditions to discrete symmetries. We check these discrete anomaly matching conditions on several proposed low-energy spectra of certain strongly interacting gauge theories. The excluded…

High Energy Physics - Theory · Physics 2007-05-23 Csaba Csaki , Hitoshi Murayama

We use a low-energy effective approach, the extended linear sigma model, to study realizations of the $U(1)_A$ anomaly with different operators, linear and quadratic in the 't Hooft determinant. After discussing the parameterization in…

High Energy Physics - Phenomenology · Physics 2026-01-08 Francesco Giacosa , Győző Kovács , Péter Kovács , Robert D. Pisarski , Fabian Rennecke

We elaborate on an extension of the Standard Model with a gauge structure enlarged by a single anomalous U(1), where the presence of a Wess-Zumino term is motivated by the Green-Schwarz mechanism of string theory. The additional gauge…

High Energy Physics - Phenomenology · Physics 2009-09-29 Claudio Coriano , Nikos Irges , Simone Morelli

Little Higgs theories often rely on an internal parity ("T-parity'') to suppress non-standard electroweak effects or to provide a dark matter candidate. We show that such a symmetry is generally broken by anomalies, as described by the…

High Energy Physics - Phenomenology · Physics 2010-04-06 Christopher T. Hill , Richard J. Hill

We consider a class of theories with a $U(1)_X$ gauge symmetry associated with leptonic chiral currents. The low-energy effective field theory includes a light spin-$1$ boson coupled to the electroweak gauge sector via a Wess-Zumino term,…

High Energy Physics - Phenomenology · Physics 2025-09-05 Luca Di Luzio , Marco Nardecchia , Claudio Toni

We discuss the BCF anomaly of massless QCD-like theories, first obtained by Anber and Poppitz, from the viewpoint of the low energy effective theories. We assume that the QCD-like theories exhibit spontaneous chiral symmetry breaking due to…

High Energy Physics - Theory · Physics 2023-02-15 Tatsuki Nakajima , Tadakatsu Sakai , Ryo Yokokura

A realistic extension of the minimal $SU(5)$ theory consisting of the addition of an adjoint fermion is known to predict light real fermion and scalar weak triplets, potentially accessible at the LHC. These particles, in addition to playing…

High Energy Physics - Phenomenology · Physics 2023-01-11 Goran Senjanović , Michael Zantedeschi
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