Dynamical Abelianization and anomalies in chiral gauge theories

Bolognesi, Stefano; Konishi, Kenichi; Luzio, Andrea

doi:10.1007/jhep12(2022)110

Cited by 7 publications

(9 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let us first discuss the possibility of an IR phase of this sort for the ψχη model, that is the (N ψ , N χ ) = (1, 1) model. Take for example the 't Hooft [SU (8) η ] 3 anomaly, where SU (8) η is the global symmetry acting on the anti-fundamentals η. This anomaly is N in UV, because they are anti-fundamentals fields under SU (N ).…”

Section: Hypothetical Confining Symmetric Phasementioning

confidence: 99%

“…This anomaly is N in UV, because they are anti-fundamentals fields under SU (N ). To saturate it in the IR it would require ∝ N distinct gauge invariant composite fermions charged under SU (8) system confines, with no global symmetry breaking and with some massless "baryons" saturating the 't Hooft anomalies, thus does not appear to be likely here, at least in the large N limit [2,13,15].…”

Section: Hypothetical Confining Symmetric Phasementioning

confidence: 99%

“…The unbroken gauge group U (1) N −1 is generated by the Cartan subalgebra. More precisely [8], we require that the condensate (5.1), (5.2) induce the symmetry breaking…”

Section: Dynamical Abelianizationmentioning

confidence: 99%

“…It is the purpose of this review work to discuss a wide class of strongly-coupled SU (N ) chiral gauge theories and their possible IR physics, based on the work [1][2][3][4][5][6][7][8] done in the last several years. In spite of many years of efforts [9][10][11][12][13][14][15][16][17][18][19][20], and in spite of important possible applications in the context of realistic model building beyond the standard model of the fundamental interactions, our understanding of the dynamics of chiral gauge theories is still quite unsatisfactory today.…”

Section: Introductionmentioning

confidence: 99%

“…To understand the interplay between the types of massless matter fermions and these phases of the system under study, is one of the central themes of this work. This work is basically a review of our previous results [1][2][3][4][5][6][7][8], but a special emphasis will be put on an exploration of more general, new types of phases and low-energy effective actions, than those already discussed in literature or by ourselves. Keeping such an aim in mind, the discussions on the generalized symmetries and applications of the mixed anomalies will be left to another review work [7].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Dynamics of strongly-coupled chiral gauge theories

Bolognesi

Konishi

Luzio

2023

J. Phys.: Conf. Ser.

Self Cite

View full text Add to dashboard Cite

We study the dynamics of SU(N) chiral gauge theories with massless fermions belonging to various combinations of the symmetric, antisymmetric or fundamental representations. We limit ourselves to the gauge-anomaly-free and asymptotically free systems. These theories have a global symmetry group with the associated ’t Hooft anomaly-matching conditions severely limiting the possible RG flows. Recent developments on the applications of the generalized symmetries and the stronger requirement of the matching of the mixed anomalies also give further indications on the possible IR dynamics. In vectorlike theories such as the quantum chromodynamics (QCD), gauge-invariant “quark-antiquark” condensates form and characterize the IR dynamics, and the anomaly matching involves the Nambu-Goldstone (NG) bosons. In some other special cases, such as the Bars-Yankielowicz (BY) or Georgi-Glashow (GG) models, a hypothetical solution was proposed in the literature, with no global symmetry breaking and with some simple set of composite massless fermions saturating all the anomalies. For the BY and GG systems, actually, a more plausible candidate for their IR physics is the dynamical Higgs phase, with a few simple bi-fermion color-flavor locked condensates, breaking the color and flavor symmetries, partially or totally. Remarkably, the ’t Hooft anomaly-matching (and generalized anomaly-matching) conditions are automatically satisfied in this phase. Another interesting possibility, occurring in some chiral gauge theories, is dynamical Abelianization, familiar from N = 2 supersymmetric gauge theories. We explore here even more general types of possible IR phases than the ones mentioned above, for wider classes of models. With the help of large-N arguments we look for IR free theories, whereas the MAC (maximal attractive channel) criterion might suggest some simple bi-fermion condensates characterizing the IR dynamics of the systems. In many cases the low-energy effective theories are found to be described by quiver-like gauge theories, some of the (nonAbelian) gauge groups are infrared-free while some others might be asymptotically free.

show abstract

Section: Hypothetical Confining Symmetric Phasementioning

confidence: 99%

Section: Hypothetical Confining Symmetric Phasementioning

confidence: 99%

“…The unbroken gauge group U (1) N −1 is generated by the Cartan subalgebra. More precisely [8], we require that the condensate (5.1), (5.2) induce the symmetry breaking…”

Section: Dynamical Abelianizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Dynamics of strongly-coupled chiral gauge theories

Bolognesi

Konishi

Luzio

2023

J. Phys.: Conf. Ser.

Self Cite

View full text Add to dashboard Cite

show abstract

Symmetry TFTs for 3d QFTs from M-theory

Beest

Gould

Schäfer‐Nameki

et al. 2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We derive the Symmetry Topological Field Theories (SymTFTs) for 3d supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric engineering or holography. These 4d SymTFTs encode the symmetry structures of the 3d QFTs, for instance the generalized global symmetries and their ’t Hooft anomalies. Using differential cohomology, we derive the SymTFT by reducing M-theory on a 7-manifold Y7, which either is the link of a conical Calabi-Yau four-fold or part of an AdS4× Y7 holographic solution. In the holographic setting we first consider the 3d $$ \mathcal{N} $$ N = 6 ABJ(M) theories and derive the BF-couplings, which allow the identification of the global form of the gauge group, as well as 1-form symmetry anomalies. Secondly, we compute the SymTFT for 3d $$ \mathcal{N} $$ N = 2 quiver gauge theories whose holographic duals are based on Sasaki-Einstein 7-manifolds of type Y7 = Yp,k($$ \mathbbm{CP} $$ CP 2). The SymTFT encodes 0- and 1-form symmetries, as well as potential ’t Hooft anomalies between these. Furthermore, by studying the gapped boundary conditions of the SymTFT we constrain the allowed choices for U(1) Chern-Simons terms in the dual field theory.

show abstract

Disconnected 0-form and 2-group symmetries

Bhardwaj¹,

Gould²

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by a connected Lie group, which captures the possible backgrounds of the continuous 0-form symmetries the theory can be coupled to. Finite 0-form symmetries can act as outer-automorphisms of this connected Lie group. Consequently, possible background couplings to both continuous and finite 0-form symmetries are described by a disconnected Lie group, and we call the resulting symmetry structure a disconnected 0-form symmetry. Additionally, finite 0-form symmetries may act on the 1-form symmetry group. The 1-form symmetries and continuous 0-form symmetries may combine to form a 2-group, which when combined with finite 0-form symmetries leads to another type of 2-group, that we call a disconnected 2-group and the resulting symmetry structure a disconnected 2-group symmetry. Examples of arbitrarily complex disconnected 0-form and 2-group symmetries in any spacetime dimension are furnished by gauge theories: with 1-form symmetries arising from the center of the gauge group, continuous 0-form symmetries arising as flavor symmetries acting on matter content, and finite 0-form symmetries arising from outer-automorphisms of gauge and flavor Lie algebras.

show abstract

Dynamical Abelianization and anomalies in chiral gauge theories

Cited by 7 publications

References 55 publications

Dynamics of strongly-coupled chiral gauge theories

Dynamics of strongly-coupled chiral gauge theories

Symmetry TFTs for 3d QFTs from M-theory

Disconnected 0-form and 2-group symmetries

Contact Info

Product

Resources

About