42 citations · 206 across the 36 of their papers we have counts for
12 papers · 1 filter
On Hexagonal Structures in Higher Dimensional Theories
Adil Belhaj, Luis J. Boya, Antonio Segui
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…
Holonomy Groups Coming From F-Theory Compactification
Adil Belhaj, Luis J. Boya, Antonio Segui
We study holonomy groups coming from F-theory compactifications. We focus mainly on SO(8) as 12-4=8 and subgroups SU(4), Spin(7), G2 and SU(3) suitable for descent from F-theory, M…
On F-theory Quiver Models and Kac-Moody Algebras
Rachid Ahl Laamara, Adil Belhaj, Luis J. Boya +2
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…
On Local F-theory Geometries and Intersecting D7-branes
Rachid Ahl Laamara, Adil Belhaj, Luis J. Boya +1
We discuss local F-theory geometries and theirs gauge theory dualities in terms of intersecting D7-branes wrapped four-cycles in Type IIB superstring. The manifolds are built as el…
Supersymmetry and Polytopes
Luis J. Boya
We make an imaginative comparison between the Minimal Supersymmetric Standard Model and the 24-cell polytope in four dimensions, the Octacube.
Relation Between Holonomy Groups in Superstrings, M and F-theories
Adil Belhaj, Luis J. Boya, Antonio Segui
We consider manifolds with special holonomy groups SU(3), G2 and Spin(7) as suitable for compactification of superstrings, M-theory and F-theory (with only one time) respectively.…
The Spin-Statistics Theorem in Arbitrary Dimensions
Luis J. Boya, E. C. G. Sudarshan
We investigate the spin-statistics connection in arbitrary dimensions for hermitian spinor or tensor quantum fields with a rotationally invariant bilinear Lagrangian density. We us…
Arguments for F-theory
Luis J. Boya
After a brief review of string and -Theory we point out some deficiencies. Partly to cure them, we present several arguments for ``-Theory'', enlarging spacetime to …
Octonions and M-theory
Luis J. Boya
We explain how structures related to octonions are ubiquitous in M-theory. All the exceptional Lie groups, and the projective Cayley line and plane appear in M-theory. Exceptional…
Topological charges and the genus of surfaces
Luis J. Boya, Antonio J. Segui-Santonja
We show that the topological charge of the n-soliton solution of the sine-Gordon equation n is related to the genus g > 1 of a constant negative curvature compact surface described…
Renormalization in 1D Quantum Mechanics: contact interactions
Luis J Boya, Alejandro Rivero
We build a toy model of the Wilson-Kogut renormalization group in one dimensional Quantum Mechanics. With it, we show how the RG flow in the space of 1-D S matrices of finite range…
Point Interactions from Flux Conservation
Luis J. Boya, E. C. G. Sudarshan
We show that the physical requirement of flux conservation can substitute for the usual matching conditions in point interactions. The study covers an arbitrary superposition of $δ…