Pseudo-Riemannian Structures in Pati-Salam models

Pati-Salam model in curved space-time and sheaf quantization

This note aims to give a self-contain and detail explanation about U(k')times U(k) Pati-Salam model in curved space-time which derived from (1+n)-dimensional square root Lorentz manifold by self-parallel transportation principle. The concepts foundation of manifold from view point of category theory, fiber bundle and sheaf theories are reviewed. There are extra U(k')times U(k)-principal bundle and U(k)-associated bundle than (1+n)-dimensional Lorentz manifold. The conservative currents on square root Lorentz manifold are discussed preliminary. A detail proof of relation from sheaf quantization…

The standard model, the Pati-Salam model, and "Jordan geometry"

We argue that the ordinary commutative-and-associative algebra of spacetime coordinates (familiar from general relativity) should perhaps be replaced, not by a noncommutative algebra (as in noncommutative geometry), but rather by a Jordan algebra (leading to a framework which we term "Jordan geometry"). We present the Jordan algebra (and representation) that most nearly describes the standard model of particle physics, and we explain that it actually describes a certain (phenomenologically viable) extension of the standard model: by three right-handed (sterile) neutrinos, a complex scalar fiel…

具有额外 $SU(2)_{L_2/R_2}$ 规范对称性的 ${\cal N}=1$ 超对称 Pati-Salam 模型从相交的 D6 膜中产生

The ${\cal N}=1$ supersymmetric Pati-Salam models with extra $SU(2)_{L_2/R_2}$ gauge symmetry from intersecting D6-branes

通过引入额外 D6 膜堆，研究者构造了具有额外 $SU(2)_{L_2/R_2}$ 规范对称性的 ${\cal N}=1$ 超对称 Pati-Salam 模型，并首次实现了三族超对称模型。