Results 61 to 70 of about 142,196 (212)

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

Algebraic Integration of Sigma Model Field Equations

, 2009
We prove that the dualization algebra of the symmetric space coset sigma model is a Lie algebra and we show that it generates an appropriate adjoint representation which enables the local integration of the field equations yielding the first-order ones ...
A. Keurentjes, A. Keurentjes, E. Cremmer, E. Cremmer, N. T. Yılmaz, N. T. Yılmaz, N. T. Yılmaz   +6 more
core   +2 more sources

On conjugating representations and adjoint representations of semisimple groups

Inventiones Mathematicae, 1988
Let G be a reductive algebraic group over an algebraically closed field k and let G act (as k-algebra automorphisms) on a finitely generated k- algebra A. Suppose the algebra of invariants, \(C=A\) G, is a free polynomial k-algebra and that A is flat as a C-module.
openaire   +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  

Adjoint Representations of the Symmetric Group

, 2018
We study the restriction to the symmetric group, $\mc{S}_n$ of the adjoint representation of $\mt{GL}_n(\C)$. We determine the irreducible constituents of the space of symmetric as well as the space of skew-symmetric $n\times n$ matrices as $\mc{S}_n$-modules.
Can, Mahir Bilen, Jones, Miles
openaire   +2 more sources

Pontryagin maximum principle, (co)adjoint representation, and normal\n geodesics of left-invariant (sub-)Finsler metrics on Lie groups [PDF]

, 2019
V. N. Berestovskiĭ, И. А. Зубарева   +1 more
openalex   +3 more sources

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

Nonabelian fluids and helicities

Journal of High Energy Physics
In analogy with the non-Abelian gauge helicities conserved in time for “null fields”, that we have defined previously, in this paper we first define non-Abelian fluid helicities and then total non-Abelian helicities for combined non-Abelian fluid and ...
Horatiu Nastase, Jacob Sonnenschein
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

Representation of SU(infinity) Algebra for Matrix Models

, 2002
We investigate how the matrix representation of SU(N) algebra approaches that of the Poisson algebra in the large N limit. In the adjoint representation, the (N^2-1) times (N^2-1) matrices of the SU(N) generators go to those of the Poisson algebra in the
B. de Wit, C.K. Zachos, J. Ambjørn, J. Ambjørn, J. Hoppe, K.N. Anagnostopoulos, L. Smolin, N. Kitsunezaki, N. Kitsunezaki, Naofumi Kitsunezaki, Shozo Uehara   +10 more
core   +3 more sources