Results 11 to 20 of about 56,617 (265)
IEEE Access, 2023 The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano +2 more
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The global gauge group structure of F-theory compactification with U(1)s
Journal of High Energy Physics, 2018 We show that F-theory compactifications with abelian gauge factors generally exhibit a non-trivial global gauge group structure. The geometric origin of this structure lies with the Shioda map of the Mordell-Weil generators.
Mirjam Cvetič, Ling Lin
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Journal of High Energy Physics, 2022 We give a general description of gauge symmetry breaking using vertical and remainder fluxes in 4D F-theory models. The fluxes can break a geometric gauge group to a smaller group and induce chiral matter, even when the larger group admits no chiral ...
Shing Yan Li, Washington Taylor
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Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – The authors have determined whether the points fixed by all the full and the partial Atkin–Lehner involutions WQ on X0(N) for N ≤ 50 are Weierstrass points or not.
Mustafa Bojakli, Hasan Sankari
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Fermion geometry and the renormalization of the Standard Model Effective Field Theory
Journal of High Energy Physics, 2023 The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions.
Benoît Assi +4 more
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Selective Survey on Spaces of Closed Subgroups of Topological Groups
Axioms, 2018 We survey different topologizations of the set S ( G ) of closed subgroups of a topological group G and demonstrate some applications using Topological Groups, Model Theory, Geometric Group Theory, and Topological Dynamics.
Igor V. Protasov
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Fluxes in exceptional field theory and threebrane sigma-models
Journal of High Energy Physics, 2019 Starting from a higher Courant bracket associated to exceptional generalized geometry, we provide a systematic derivation of all types of fluxes and their Bianchi identities for four-dimensional compactifications of M-theory.
Athanasios Chatzistavrakidis +3 more
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From Practice to New Concepts: Geometric Properties of Groups
Philosophia Scientiæ, 2012 The paper aims to show how mathematical practice, in particular with visual representations, can lead to new mathematical results. The argument is based on a case study from a relatively recent and promising mathematical subject—geometric group theory ...
Irina Starikova
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Polystable bundles and representations of their automorphisms
Complex Manifolds, 2022 Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly)stable if and only if their corresponding classes are (poly)stable in the sense of
Buchdahl Nicholas, Schumacher Georg
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Injective Hulls of Infinite Totally Split-Decomposable Metric Spaces
AxiomsWe extend the theory of splits in finite metric spaces to infinite ones. Within this more general framework, we investigate the class of spaces having metrics that are integer-valued and totally split-decomposable, as well as the polyhedral complex ...
Maël Pavón
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