Results 81 to 90 of about 139,367 (266)

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

Fortschritte der Physik, EarlyView.
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis, Danai Roumelioti, Stelios Stefas, George Zoupanos   +3 more
wiley   +1 more source

THEORY OF LOOPS AND STRINGS WITH MATTER IN THE ADJOINT REPRESENTATION

International Journal of Modern Physics A, 1995
We have presented canonical and path integral formulations of a theory of loops and closed strings with the matter field quanta transforming in the adjoint representation of the SU (N) gauge group. The physical processes arising out of the interactions of loops and closed strings are discussed.
Jnanadeva Maharana, Lambodar Prasad Singh   +1 more
openaire   +3 more sources

A conservative numerical scheme for the multilayer shallow‐water equations on unstructured meshes

Quarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving scheme is derived for the multilayer shallow water model, making use of the direct connection between energy conservation and the skew symmetry of the Poisson bracket for the model. A new mechanism is proposed to prevent layer interface outcropping.
Qingshan Chen
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  

On different approaches to IRF lattice models. Part II

Journal of High Energy Physics
This paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories.
Vladimir Belavin, Doron Gepner, J. Ramos Cabezas, Boris Runov   +3 more
doaj   +1 more source

Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras

, 2003
We compute the short distance expansion of fields or operators that live in the coadjoint representation of an infinite dimensional Lie algebra by using only properties of the adjoint representation and its dual.
Gates Jr, S. James, Linch III, W. D., Phillips, J., Rodgers, V. G. J.   +3 more
core   +1 more source

On the impact of observation‐error correlations in data assimilation, with application to along‐track altimeter data

Quarterly Journal of the Royal Meteorological Society, EarlyView.
We study the impact of observation‐error correlations in data assimilation using both a simple idealised system and a more realistic configuration. A spectral analysis of data assimilation in the idealised system allows us to gain insights on the effect of observation‐error correlations, which are then validated using the realistic configuration.
Olivier Goux, Anthony T. Weaver, Selime Gürol, Oliver Guillet, Andrea Piacentini   +4 more
wiley   +1 more source

Electroweak gauge invariant Higgs multiplets

Journal of High Energy Physics
We investigate the potential of general Higgs multiplets. We establish the domain of general Higgs multiplets within the context of the adjoint representation.
M. Maniatis
doaj   +1 more source

When ancient numerical demons meet physics-informed machine learning: adjoint-based gradients for implicit differentiable modeling [PDF]

Hydrology and Earth System Sciences
Recent 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, W. J. M. Knoben, M. P. Clark, D. Feng, D. Feng, K. Lawson, K. Sawadekar, C. Shen   +7 more
doaj   +1 more source

Casimir eigenvalues for universal Lie algebra

, 2012
For two different natural definitions of Casimir operators for simple Lie algebras we show that their eigenvalues in the adjoint representation can be expressed polynomially in the universal Vogel's parameters $\alpha, \beta, \gamma$ and give explicit ...
A. N. Sergeev, A. P. Veselov, Bourbaki N., Cohen A. M., Deligne P., Duflo M., Gelfand I. M., Kac V. G., R. L. Mkrtchyan   +8 more
core   +1 more source