arXiv subjects

Matteo Orso

Publications and source records attributed to Matteo Orso.

3 recordsLinked to original sources

arXiv2026

Infrared spectra of some strongly--coupled chiral gauge theories

Several simple asymptotically-free chiral gauge theories are studied. The only ``free parameters'' of our models are the choice of the gauge group and the matter Weyl fermion representations, and the relative magnitudes of the renormalization-group-invariant scales $\Lambda_i$ associated with each gauge group. None of our models has nontrivial nonabelian global symmetries (``family''--like fermion representations). We rely on some recent theoretical developments on the dynamics of strongly--coupled chiral gauge theories, based on the generalized symmetries and associated new types of anomaly-matching consideration, but also on the solid knowledge on vectorlike gauge theories such as QCD and supersymmetric Yang-Mills theories. The structures of the infrared effective theories, the RG flows, and the light spectra found in these models are surprisingly rich and intriguing.

hep-th↗

arXiv2024

Chiral gauge theories, generalized anomalies and breakdown of the color-flavor-locked center symmetry

We study the strong-interaction dynamics of a class of $4D$ chiral $SU(N)$ gauge theories with a fermion in a symmetric second-rank tensor representation and a number of fermions in an anti-antisymmetric tensor representation, extending the previous work on chiral gauge theories such as the Bars-Yankielowicz and the generalized Georgi-Glashow models. The main tool of our analysis is the anomalies obstructing the gauging of certain 1-form color-flavor-locked center symmetry, together with some flavor symmetries. The matching requirement for these mixed-anomalies strongly favors dynamical Higgs phases caused by bifermion condensate formation, against a confinement phase with no condensates and no symmetry breaking, or a confinement phase with multifermion color-singlet condensates only. Dynamical gauge symmetry breaking and the spontaneous breaking of a $U(1)$ symmetry caused by such condensates mean that the color-flavor-locked 1-form center symmetry itself is lost in the infrared. One is led to a solution, if not unique, which satisfies fully the conventional as well as the new, generalized 't Hooft anomaly matching requirements.

hep-th↗

arXiv2024

Natural Anomaly Matching

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 an entirely evident fashion, without need of verifying arithmetic equations. This is due to the fact that in these systems, characterized by dynamical color (and flavor) symmetry breaking, the quantum numbers and multiplicities of the low-energy massless fermions match exactly those of the fermions in the UV theory which do not condense and remain massless, with respect to the unbroken symmetries. This means also that the stronger constraints following from the matching request of mixed anomalies involving certain generalized 1-form center symmetries, as well as some global anomalies such as Witten's $SU(2)$ anomaly, are all fully satisfied. It is the aim of this note to clarify better the working of this phenomenon (which we call Natural Anomaly Matching), correct some earlier statements made about it, and illustrate it further with a few new examples.

hep-th↗