Results 81 to 90 of about 1,499,028 (285)
Adjoint Chiral Supermultiplets and Their Phenomenology [PDF]
Phys.Rev.D74:075010,2006, 2006 Matter fields in the MSSM are chiral supermultiplets in fundamental (or singlet) representations of the standard model gauge group. In this paper we introduce chiral superfields in the adjoint representation of $SU(3)_C$ and study the effective field theory and phenomenology of them.
arxiv +1 more source
On conjugating representations and adjoint representations of semisimple groups
Inventiones Mathematicae, 1988 where Ea is a direct sum of irreducible G-modules of highest weight 2. Here we consider the conjugating representation in arbitrary characteristic and prove the appropriate version of Richardson's Theorem (under small, and almost certainly unnecessary, characteristic/root-system restrictions).
openaire +2 more sources
An Algebraic Roadmap of Particle Theories
Annalen der Physik, EarlyView.The SO(10) grand unified theory, the Georgi–Glashow SU(5) grand unified theory, the Pati–Salam model, the Left–Right Symmetric model, and the Standard model have been studied extensively since the 1970s. Recasting these models in a division algebraic language elucidates how they are each in fact connected.
N. Furey
wiley +1 more source
Automatic adjoint-based inversion schemes for geodynamics: reconstructing the evolution of Earth's mantle in space and time [PDF]
Geoscientific Model DevelopmentReconstructing the thermo-chemical evolution of Earth's mantle and its diverse surface manifestations is a widely recognised grand challenge for the geosciences.
S. Ghelichkhan +5 more
doaj +1 more source
Embedding of the Georgi-Glashow SU(5) model in the superconformal algebra
Journal of High Energy Physics, 2023 We present a scheme to construct grand unified models based on the superconformal algebra and the inclusion of matter fields in the adjoint representation of supersymmetry. As an illustration, we implemented the Georgi-Glashow SU(5) model.
P. D. Alvarez, R. A. Chavez, J. Zanelli
doaj +1 more source
An Algebraic Roadmap of Particle Theories Part II: Theoretical Checkpoints
Annalen der Physik, EarlyView.Algebraic models of particle physics are often met with recurring obstacles. An ideal algebraic model should ‘1e conform to the Coleman‐Mandula theorem, ‘2e evade familiar fermion doubling problems, ‘3e naturally explain the Standard Model's chirality, ‘4e exclude B‐L gauge symmetry at low energy, and ‘5e explain the existence of three generations ...
Nichol Furey
wiley +1 more source
Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations
Annalen der Physik, EarlyView.A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona +2 more
wiley +1 more source
The Canadian Journal of Chemical Engineering, EarlyView.The boundary‐regulated distributed parameter system of an axial dispersion tubular reactor with delayed recycle is showcased, along with the optimal observer‐based control strategy developed using a late‐lumping method for its stabilization. Abstract The optimal control of an axial tubular reactor with a recycle stream is addressed as a key type of ...
Behrad Moadeli +2 more
wiley +1 more source
Structure of the Enveloping Algebras
Acta Polytechnica, 2007 The adjoint representations of several small dimensional Lie algebras on their universal enveloping algebras are explicitly decomposed. It is shown that commutants of raising operators are generated as polynomials in several basic elements.
Č. Burdík, O. Navrátil, S. Pošta
doaj
When ancient numerical demons meet physics-informed machine learning: adjoint-based gradients for implicit differentiable modeling [PDF]
Hydrology and Earth System SciencesRecent advances in differentiable modeling, a genre of physics-informed machine learning that trains neural networks (NNs) together with process-based equations, have shown promise in enhancing hydrological models' accuracy, interpretability, and ...
Y. Song +7 more
doaj +1 more source