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Theoretical Physics, general interest

Speaker:

Federico Carta & Julia Gehrlein

Institution:

Instituto de Física Teórica UAM-CSIC

Location&Place:

IFT Seminar Room/Red Room

Abstract:

Fourth meeting in a series where PhD students of physics talk about their research. We want to create a friendly atmosphere where the youngest researchers can practice giving a talk about their work. For this reason, seniors are supposed not(!) to attend.

Federico Carta will talk about *Hilbert series and mixed branches of 3d N=4 T[SU(N)] theories*:

We consider mixed branches of 3d N= 4 T[SU(N)] theory. We compute the Hilbert series of the Coulomb branch part of the mixed branch from a restriction rule acting on the Hilbert series of the full Coulomb branch that will truncate the magnetic charge summation only to the subset of BPS dressed monopole operators that arise in the Coulomb branch sublocus where the mixed branch stems. This restriction can be understood directly from the type IIB brane picture by a relation between the magnetic charges of the monopoles and brane position moduli. We also apply the restriction rule to the Higgs branch part of a given mixed branch by exploiting 3d mirror symmetry. Both cases show complete agreement with the results calculated by different methods.

Julia Gehrlein will talk about *Corrections to leptonic sum rules*:

Correlations between light neutrino observables are common predictions of a large class of models based on the (discrete) symmetry approach to lepton flavour. Neutrino mass sum rules connect the three (complex) light neutrino mass eigenvalues among each other and mixing sum rules relate the leptonic mixing angles and the Dirac phase. However, in nearly all cases known, the sum rules are not exact and receive corrections from various sources. We will discuss generic corrections to these sum rules which arise for example from higher dimensional operators or renormalisation group evolution and present the effect of the corrections on the predictions from sum rules found in the literature. While in most cases the predictions of mass sum rules are fairly stable running effects for the mixing sum rules have to be taken into account to realistically probe the predictions from the sum rules in concrete models.

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