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Master project : Gauge dualities: from Seiberg to Standard Model phenomenology

Advisor: Giacomo Cacciapaglia

Gauge dualities link two different gauge theories as describing the same low energy physics, one being weakly coupled at high energies (UV) the other at low energies (IR). The most famous example is due to N.Seiberg [1], who studied the IR physics of N=1 supersymmetric QCD. It was later found in [2] that the duality may hold in the non-supersymmetric limit. The key ingredient being the matching of the anomalies of the shared global symmetries.

In this project, we aim at identifying other non-supersymmetric dualities, starting from N=1 supersymmetric cases in the literature. For example, see [3] and [4]. Such theories will be classified in terms of the (different) gauge symmetries and fermion content, and the shared global symmetries. We will carefully check that a suitable supersymmetry breaking pattern exists, which allows to deduce the non-supersymmetric duality from the supersymmetric one.

Non-supersymmetric gauge dualities can be used to extend the physics of the Standard Model. One example was recently studied in [5]. The internship will be followed by a thesis proposal focusing on the application of gauge dualities to extensions of the standard model. This will include a detailed definition of the two dual theories, and study of the collider and cosmological phenomenology of the Dual Standard Model.

[1] N.Seiberg, "Electric - magnetic duality in supersymmetric nonAbelian gauge theories," Nucl. Phys. B 435 (1995), 129-146 [arXiv:hep-th/9411149 [hep-th]].

[2] M.Mojaza, M.Nardecchia, C.Pica and F.Sannino, "Dual of QCD with One Adjoint Fermion," Phys. Rev. D 83 (2011), 065022 [arXiv:1101.1522 [hep-th]].

[3] C.Csaki, W.Skiba and M.Schmaltz, "Exact results and duality for SP(2N) SUSY gauge theories with an antisymmetric tensor," Nucl. Phys. B 487 (1997), 128-140 [arXiv:hep-th/9607210 [hep-th]].

[4] C.Csaki, M.Schmaltz, W.Skiba and J.Terning, "Selfdual N=1 SUSY gauge theories," Phys. Rev. D 56 (1997), 1228-1238 [arXiv:hep-th/9701191 [hep-th]].

[5] G.Cacciapaglia and F.Sannino, "Charting standard model duality and its signatures," Phys. Rev. D 111 (2025) no.3, 035013 [arXiv:2407.17281 [hep-ph]].