The compatibility with the duality for partial Hasse invariants

We give a simple and natural proof for the compatibility of the Hasse invariant with duality. We then study a $p$-divisible group with an action of the ring of integers of a finite ramified extension of $\mathbb{Q}_p$. We suppose that it satisfies the Pappas-Rapoport condition ; in that case the Hasse invariant is a product of partial Hasse invariants, each of which can be expressed in terms of primitive Hasse invariants. We then show that the dual of the $p$-divisible group naturally satisfies a Pappas-Rapoport condition, and prove the compatibility with the duality for the partial and primitive Hasse invariants.Comment: 12 page

Compatible abelian symmetries in N-Higgs-Doublet Models

We analyze the compatibility between abelian symmetries acting in two different sectors of a theory using the Smith Normal Form method. We focus on N-Higgs-doublet models (NHDMs) and on the compatibility between symmetries in the Higgs potential and in the Yukawa interactions, which were separately analyzed previous works. It is shown that two equal (isomorphic) symmetry groups that act in two separate sectors are not necessarily compatible in the whole theory and an upper bound is found for the size of the group that can be implemented in the entire NHDM. We also develop useful techniques to analyze compatibility and extend a symmetry from one sector to another. Consequences to the supersymmetric case are briefly discussed.Comment: v2: 40pp; some modifications in text, brief discussion on the supersymmetric case added; to appear in JHE

Research and innovation in power electronics systems applied to energy management

The Power Electronics Systems Group (GSEP) at University Carlos III de Madrid (Spain) offers its wide experience and background in consultancy, R&D projects with private and public funding and pre-industrial prototype building in four main topics: energy conversion (design, modelling and prototyping of equipments and systems), magnetic components modelling and design, photovoltaic systems and electromagnetic compatibility (EMC)

Spontaneous Breaking of Gauge Groups to Discrete Symmetries

Many models of beyond Standard Model physics connect flavor symmetry with a discrete group. Having this symmetry arise spontaneously from a gauge theory maintains compatibility with quantum gravity and can be used to systematically prevent anomalies. We minimize a number of Higgs potentials that break gauge groups to discrete symmetries of interest, and examine their scalar mass spectra.Comment: 45 page

Quark-Antiquark Regge Trajectories in Large N_c QCD

We apply methods developed by Lovelace, Lipatov and Kirschner to evaluate the leading Regge trajectories \alpha(t) with the quantum numbers of nonexotic quark-antiquark mesons at N_c = infinity and in the limit of t going to minus infinity. In this region renormalization group improved perturbation theory should be valid. We discuss the compatibility of nonlinear trajectories with narrow resonance approximations.Comment: 12 pages 1 figure not include