Discrete remnants of orbifolding

Biermann, Steffen; Mutter, A.; Parr, Erik; Ratz, Michael; Vaudrevange, Patrick K.S.

doi:10.1103/physrevd.100.066030

Cited by 7 publications

(3 citation statements)

References 26 publications

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“…Examples for such outer automorphisms include the so-called leftright parity [45]. It is known that such symmetries can originate as discrete remnants of gauge symmetries either by dialing appropriate VEVs [46,47] or by orbifolding [48]. As the exchange of the U(1) factors is part of the original U(4) gauge symmetry of the model, we have identified yet another way in which these outer automorphism can emerge from an explicit gauge symmetry.…”

Section: Jhep05(2021)078mentioning

confidence: 98%

Metaplectic flavor symmetries from magnetized tori

Almumin

Chen

Knapp–Pérez

et al. 2021

J. High Energ. Phys.

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We revisit the flavor symmetries arising from compactifications on tori with magnetic background fluxes. Using Euler’s Theorem, we derive closed form analytic expressions for the Yukawa couplings that are valid for arbitrary flux parameters. We discuss the modular transformations for even and odd units of magnetic flux, M, and show that they give rise to finite metaplectic groups the order of which is determined by the least common multiple of the number of zero-mode flavors involved. Unlike in models in which modular flavor symmetries are postulated, in this approach they derive from an underlying torus. This allows us to retain control over parameters, such as those governing the kinetic terms, that are free in the bottom-up approach, thus leading to an increased predictivity. In addition, the geometric picture allows us to understand the relative suppression of Yukawa couplings from their localization properties in the compact space. We also comment on the role supersymmetry plays in these constructions, and outline a path towards non-supersymmetric models with modular flavor symmetries.

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Section: Jhep05(2021)078mentioning

confidence: 98%

Metaplectic flavor symmetries from magnetized tori

Almumin

Chen

Knapp–Pérez

et al. 2021

J. High Energ. Phys.

Self Cite

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“…The approach to flavons suggested above is somewhat analogous to extra-dimensional grand unified theories (GUTs) compactified on orbifolds, often called "orbifold GUTs" [6][7][8][9][10][11][12][13][14][15]. They are typically based on S 1 /Z 2 or T 2 /(Z 2 × Z 2 ) orbifolds, where Higgs doublettriplet splitting may be achieved within the framework of extra dimensions [8].…”

Section: Introductionmentioning

confidence: 99%

Flavon alignments from orbifolding: SU(5) × SU(3) model with 𝕋6/∆(54)

Anda¹,

King²,

Perdomo³

et al. 2019

J. High Energ. Phys.

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We systematically develop the formalism necessary for ensuring that boundary conditions of flavon fields in extra dimensions are consistent with heterotic string theory. Having developed a set of consistency conditions on the boundary conditions, we explore a series of examples of orbifolds in various dimensions to see which ones can satisfy them. In addition we impose the further phenomenological requirements of having non-trivial flavon vacuum alignments and also of having quarks and leptons located appropriately in extra dimensions. The minimal successful case seems to be a 10d theory with a SU(3) fl gauged flavour symmetry, where the sixdimensional torus is compactified on a T 6 /∆(54) orbifold. We construct a realistic SU(5) grand unified theory along these lines, leading to tribimaximal-reactor lepton mixing, which we show to be consistent with current neutrino data.

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“…Depending on the application, processes such as the single-lip or BTA deep hole drilling are used. In comparison, the use of twisted drills can achieve much higher productivity and flexibility [1,2] . However, there is currently a lack of sound knowledge about the process behavior of complex machining operations, so that appropriate research must be carried out in order to improve process reliability and the resulting workpiece quality [3] .…”

Section: Introductionmentioning

confidence: 99%

Experimental and simulative investigation of the oil distribution during a deep-hole drilling process and comparing of the RANS kω-SST and RANS hybrid SAS-SST turbulence model

Oezkaya¹

2018

TSE

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Helical deep hole drilling is a process frequently used in industrial applications to produce bores with a large length to diameter ratio. For better cooling and lubrication, the deep drilling oil is fed directly into the bore hole via two internal cooling channels. Due to the inaccessibility of the cutting area, experimental investigations that provide information on the actual machining and cooling behavior are difficult to carry out. In this paper, the distribution of the deep drilling oil is investigated both experimentally and simulatively and the results are evaluated. For the Computational Fluid Dynamics (CFD) simulation, two different turbulence models, i.e. the RANS k-ω-SST and hybrid SAS-SST model, are used and compared. Thereby, the actual used deep drilling oil is modelled instead of using fluid dynamic parameters of water, as is often the case. With the hybrid SAS-SST model, the flow could be analyzed much better than with the RANS k-ω-SST model and thus the processes that take place during helical deep drilling could be simulated with realistic details. Both the experimental and the simulative results show that the deep drilling oil movement is almost exclusively generated by the tool rotation. At the tool’s cutting edges and in the flute, the flow velocity drops to zero for the most part, so that no efficient cooling and lubrication could take place there. In addition, cavitation bubbles form and implode, concluding in the assumption that the process heat is not adequately dissipated and the removal of chips is adversely affected, which in turn can affect the service life of the tool and the bore quality. The carried out investigations show that the application of CFD simulation is an important research instrument in machining technology and that there is still great potential in the area of tool and process optimization.

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Discrete remnants of orbifolding

Cited by 7 publications

References 26 publications

Metaplectic flavor symmetries from magnetized tori

Metaplectic flavor symmetries from magnetized tori

Flavon alignments from orbifolding: SU(5) × SU(3) model with 𝕋6/∆(54)

Experimental and simulative investigation of the oil distribution during a deep-hole drilling process and comparing of the RANS kω-SST and RANS hybrid SAS-SST turbulence model

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