Higher Flavor Symmetries in the Standard Model

Córdova, Clay; Koren, Seth

doi:10.1002/andp.202300031

Cited by 7 publications

(3 citation statements)

References 77 publications

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“…which describes Maxwell's equation-source free. Hence its fractional analog is simply 1,2 (r, t ) = 0;…”

Section: Fme Fgem Frsmentioning

confidence: 99%

“…Nevertheless, Table (1) gives a synopsis of the fractional gravitoelectromagnetic equations (FGEM), the fractional Maxwell equations (FME), and the fractional Riemann-Silberstein equations (FRS).…”

Section: Fme Fgem Frsmentioning

confidence: 99%

“…It turns out, that such models may provide a researcher with promising insight into the possibilities encompassing the larger problem at hand, whether that may be a solution or application. Nevertheless, we adopt a simple Lagrangian density which is based upon the Standard Model (SM) of particle physics [1]. To be specific, the Lagrangian density reflects the W ± and Z o bosons, plus the electromagnetic vector potential A µ , and the gluon vector field, A i µ .…”

Section: Introductionmentioning

confidence: 99%

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Free Fractional Gauge Fields: An Elementary Model Based on the Standard Model (SM)

Eastmond

2024

Preprint

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We study the Lagrangian density for freely propagating gauge fields on the basis of the Stan- dard Model (SM); namely its fractional counterpart. From this, we attain some free fractional Klein- Gordon equations, associated with the electromagnetic, weak, and strong forces. In addition to that, we verify that the Lagrange density is gauge invariant by virtue of the fractional Hessian condition. Also, using the fractional energy density we establish the fractional continuity equation for the freely propa- gating gauge bosons. And finally, a fractional analog of the Riemann-Silberstein vector and its equation is presented. Hence, we formulate fractional analogs of the Riemann-Silberstein and gravitoelectro- magnetic equations, which are compared to the fractional Maxwell’s equations.

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“…which describes Maxwell's equation-source free. Hence its fractional analog is simply 1,2 (r, t ) = 0;…”

Section: Fme Fgem Frsmentioning

confidence: 99%

Section: Fme Fgem Frsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Free Fractional Gauge Fields: An Elementary Model Based on the Standard Model (SM)

Eastmond

2024

Preprint

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Coupling a Cosmic String to a TQFT

Brennan,

Hong,

Wang

2024

J. High Energ. Phys.

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A common framework of particle physics consists of two sectors of particles, such as the Standard Model and a dark sector, with some interaction between them. In this work, we initiate the study of a qualitatively different setup in which one of the sectors is a topological quantum field theory (TQFT). Instead of particles, the physics of a TQFT only manifests itself in non-trivial spacetime topologies or in the presence of topological defects. In particular, we consider two possible ways in which axionic cosmic strings can interact with a ℤn TQFT. One of them, by extending the structure of the axion coupling, leads to specific predictions for the localized degrees of freedom on the cosmic string, which can in turn effect their evolution and leave observable signals. The second approach, by gauging a discrete subgroup of the axionic shift symmetry, leads to dramatic changes in the string spectrum. We stress that the scenario considered here should be regarded as a plausible way for new physics to arise since it can be the low energy effective field theory for quite generic scenarios at high energies. To demonstrate this point and further illustrate the physical implications, we construct UV completions for both of the cases of couplings to TQFTs. While detailed predictions for observable signals of such scenarios require further investigation, our results demonstrate that there are rich new phenomena in this scenario.

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Dimensionally reducing generalized symmetries from (3+1)-dimensions

Nardoni,

Sacchi,

Sela

et al. 2024

J. High Energ. Phys.

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Recently there has been an increasing interest in the study of generalized symmetries in dimensions higher than two. This has lead to the discovery of various manifestations of generalized symmetries, notably higher-group and non-invertible symmetries, in four dimensions. In this paper we shall examine what happens to this structure when the 4d theory is compactified to lower dimensions, specifically to 3d and 2d, where we shall be mainly interested in generalized symmetry structures whose origin can be linked to mixed flavor-gauge anomalies. We discuss several aspects of the compactification, and in particular argue that under certain conditions the discussed generalized symmetry structure may trivialize in the infrared. Nevertheless, we show that even when this happens the presence of the 4d generalized symmetry structure may still leave an imprint on the low-energy theory in terms of additional ’t Hooft anomalies or by breaking part of the symmetry. We apply and illustrate this using known examples of compactifications from four dimensions, particularly, the reduction of 4d $$ \mathcal{N} $$ N = 1 U(Nc) SQCD on a circle to 3d and on a sphere to 2d.

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Higher Flavor Symmetries in the Standard Model

Cited by 7 publications

References 77 publications

Free Fractional Gauge Fields: An Elementary Model Based on the Standard Model (SM)

Free Fractional Gauge Fields: An Elementary Model Based on the Standard Model (SM)

Coupling a Cosmic String to a TQFT

Dimensionally reducing generalized symmetries from (3+1)-dimensions

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