Výsledky vyhledávání - "Luis J. Boya"

Akademický článek

Relation of the Cyclotomic Equation with the Harmonic and Derived Series

Publikováno v: The Scientific World Journal, Vol 2015 (2015)

We associate some (old) convergent series related to definite integrals with the cyclotomic equation xm-1=0, for several natural numbers m; for example, for m=3, x3-1=(x-1)(1+x+x2) leads to ∫01dx(1/(1+x+x2))=π/(33)=(1-1/2)+(1/4-1/5)+(1/7-1/8)+⋯.

Externí odkaz: https://doaj.org/article/23f42da56d3e447cb2ede0c74eafec25

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Akademický článek

Introduction to Sporadic Groups

Autor: Luis J. Boya

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 009 (2011)

This is an introduction to finite simple groups, in particular sporadic groups, intended for physicists. After a short review of group theory, we enumerate the 1+1+16=18 families of finite simple groups, as an introduction to the sporadic groups. The

Externí odkaz: https://doaj.org/article/3e9c97dd9bf24c8b929a3c1388818668

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On the Weyl Approach to Tensor Representations of Exceptional Lie Groups: The Case of G2 and F4

Autor: Luis J. Boya, Rutwig Campoamor-Stursberg

Publikováno v: British Journal of Mathematics & Computer Science. 6:1-12

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1e672278d53c77a5ddf7db78e7521fd1
https://doi.org/10.9734/bjmcs/2015/10887

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On Hexagonal Structures in Higher Dimensional Theories

Autor: Antonio Segui, Luis J. Boya, Adil Belhaj

Publikováno v: International Journal of Theoretical Physics. 52:130-136

We analyze the geometrical background under which many Lie groups relevant to particle physics are endowed with a (possibly multiple) hexagonal structure. There are several groups appearing, either as special holonomy groups on the compactification p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fd2c69ec6c7415171b060a7156e25ba
https://doi.org/10.1007/s10773-012-1312-6

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On the masses of elementary particles

Autor: Luis J. Boya, Cristian Rivera

Publikováno v: Physics of Particles and Nuclei. 42:800-811

We make an attempt to describe the spectrum of masses of elementary particles, as it comes out empirically in six distinct scales. We argue for some rather well defined mass scales, like the electron mass: it seems to us that there is a minimum mass

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::27abbacf4c477e5a8060c800379a4a5d
https://doi.org/10.1134/s1063779611050030

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The d-dim Oscillator and Kepler Problems. The Potential 1/x 2

Autor: Luis J. Boya

Publikováno v: International Journal of Theoretical Physics. 50:2106-2113

We compare the extra degeneracy of both the Oscillator and the Kepler problems in d dimensions as superintegrable systems. Addition of a centrifugal term like 1/r2 does not substantially change the solutions. We argue that both systems just describe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c28a61deffd211226a13f249f95e8592
https://doi.org/10.1007/s10773-010-0596-7

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ON F-THEORY QUIVER MODELS AND KAC–MOODY ALGEBRAS

Autor: Rachid Ahl Laamara, Leila Medari, Antonio Segui, Luis J. Boya, Adil Belhaj

Publikováno v: International Journal of Geometric Methods in Modern Physics. :989-999

We discuss quiver gauge models with bi-fundamental and fundamental matter obtained from F-theory compactified on ALE spaces over a four dimensional base space. We focus on the base geometry which consists of intersecting F0=CP1xCP1 Hirzebruch complex

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9372d2a7f4768a41f0c5bbec9cb6e6e9
https://doi.org/10.1142/s0219887810004671

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COMPOSITION ALGEBRAS AND THE TWO FACES OF G2

Autor: Rutwig Campoamor-Stursberg, Luis J. Boya

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

We consider composition and division algebras over the real numbers: We note two r\^oles for the group $G_{2}$: as automorphism group of the octonions and as the isotropy group of a generic 3-form in 7 dimensions. We show why they are equivalent, by

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d961565d83664c7a12b922622a7ea906
https://doi.org/10.1142/s0219887810004348

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Symmetric spaces of exceptional groups

Autor: Luis J. Boya

Publikováno v: Physics of Atomic Nuclei. 73:209-213

We adress the problem of the reasons for the existence of 12 symmetric spaces with the exceptional Lie groups. The 1+2 cases for $G_2$ and $F_4$ respectively are easily explained from the octonionic nature of these groups. The 4+3+2 cases on the $E_{

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a88627a12012305bc610e89029dbd4c4
https://doi.org/10.1134/s1063778810020018

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Note on the natural system of units

Autor: Cristian Rivera, Luis J. Boya, E. C. G. Sudarshan

Publikováno v: Pramana. 73:961-968

We propose to substitute Newton's constant GN for another constant G2, as if the gravitational force would fall off with the 1/r law, instead of the 1/r 2 ;s o we describe a system of natural units with G2 ,c and . We adjust the value of G2 so that t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ebc3b5fc28c17d5f800dc38514134487
https://doi.org/10.1007/s12043-009-0172-y

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