Results 11 to 20 of about 62,563 (295)
Geometric Structures in Group Theory [PDF]
Oberwolfach Reports, 2014 The general subject of the conference was geometric group theory, that is the study of groups via suitable actions on spaces endowed with additional structures, for instance a distance, a measure (class), or both of them with natural compatibilities. The interactions with other mathematical fields such as algebraic topology (e.g.
Bridson, MR +3 more
openaire +3 more sources
Survey on geometric group theory [PDF]
, 2008 This article is a survey article on geometric group theory from the point of view of a non-expert who likes geometric group theory and uses it in his own research. The sections are: classical examples, basics about quasiisometry,properties and invariants of groups invariant under quasiisometry, rigidity, hyperbolic spaces and CAT(k)-spaces, the ...
Lück, W. (Wolfgang)
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Siegel modular flavor group and CP from string theory
Physics Letters B, 2021 We derive the potential modular symmetries of heterotic string theory. For a toroidal compactification with Wilson line modulus, we obtain the Siegel modular group Sp(4,Z) that includes the modular symmetries SL(2,Z)T and SL(2,Z)U (of the “geometric ...
Alexander Baur +4 more
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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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Topological Quantum Field Theory and the Geometric Langlands Correspondence [PDF]
, 2013 In the pioneering work of A. Kapustin and E. Witten, the geometric Langlands program of number theory was shown to be intimately related to duality of GL-twisted N=4 super Yang-Mills theory compactified on a Riemann surface. In this thesis, we generalize
Setter, Kevin Luke
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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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Introduction to geometric group theory [PDF]
, 2022 En este artículo haremos una introducción a la teoría geométricade grupos. Veremos cómo a partir de una presentación finita de un grupo, se puede dotar a dicho grupo de una estructura de espacio métrico; se discute la acción del grupo sobre dicho espacio
Salazar-Díaz, Olga +1 more
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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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