Results 41 to 50 of about 43,068 (192)

Generalizing the $$\mathfrak {bms}_{3}$$ bms3 and 2D-conformal algebras by expanding the Virasoro algebra

European Physical Journal C: Particles and Fields, 2018
By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the $$\mathfrak {bms}_{3}$$ bms3 algebra are obtained from the Virasoro algebra.
Ricardo Caroca, Patrick Concha, Evelyn Rodríguez, Patricio Salgado-Rebolledo   +3 more
doaj   +1 more source

From Dynkin diagram symmetries to fixed point structures [PDF]

, 1995
Any automorphism of the Dynkin diagram of a symmetrizable Kac-Moody algebra induces an automorphism of the algebra and a mapping between its highest weight modules.
A.N. Schellekens, A.N. Schellekens, A.N. Schellekens, Bert Schellekens, C. Saclioglu, Christoph Schweigert, J Fuchs, J Fuchs, Jürgen Fuchs, V.G. Kac   +9 more
core   +5 more sources

On realizations of Lie algebras

Acta Polytechnica
We discuss and compare the main methods for constructing of Lie vector fields from the given Lie algebra structure constants. Generic realizations of three conformal algebras are obtained by the algebraic method and all realizations of the three ...
Maryna Nesterenko, Maryna Nesterenko, Severin Pošta, Mykola Staryi   +3 more
doaj   +1 more source

On the Ado Theorem for finite Lie conformal algebras with Levi decomposition

, 2012
We prove that a finite torsion-free conformal Lie algebra with a splitting solvable radical has a finite faithful conformal representation.Comment: 11 ...
Jacobson N., Neretin Yu. A., Pavel Kolesnikov, Procesi C., Roitman M.   +4 more
core   +1 more source

Infinite dimensional Lie algebras in 4D conformal quantum field theory

, 2008
The concept of global conformal invariance (GCI) opens the way of applying algebraic techniques, developed in the context of 2-dimensional chiral conformal field theory, to a higher (even) dimensional space-time.
, Bojko Bakalov, Bourbaki N, CNRS, Enright T, Haag R, Haag R, Ivan Todorov, Karl-Henning Rehren, Lang S, Nikolay M Nikolov, Nikolov N M, Nikolov N M Rehren K-H Todorov I Dobrev V, Segal I   +13 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Poincare gauge gravity from nonmetric gravity

Nuclear Physics B
We consider general linear gauge theory, with independent solder form and connection. These spaces have both torsion and nonmetricity. We show that the Cartan structure equations together with the defining equation for nonmetricity allow the mixed ...
James T. Wheeler
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

$n$-Lie conformal algebras and its associated infinite-dimensional $n$-Lie algebras

, 2022
In this paper, we introduce a $\{λ_{1\to n-1}\}$-bracket and a distribution notion of an $n$-Lie conformal algebra. For any $n$-Lie conformal algebra $R$, there exists a series of associated infinite-dimensional linearly compact $n$-Lie algebras $\{(\mathscr{L}ie_p\mbox{ }R)_\_\}_{(p\ge1)}$. We show that torsionless finite $n$-Lie conformal algebras $R$
Wang, Mengjun, Luo, Lipeng, Wu, Zhixiang
openaire   +2 more sources

Cohomology of Conformal Algebras

, 1998
Conformal algebra is an axiomatic description of the operator product expansion of chiral fields in conformal field theory. On the other hand, it is an adequate tool for the study of infinite-dimensional Lie algebras satisfying the locality property. The
Bakalov, Bojko, Kac, Victor G., Voronov, Alexander A.   +2 more
core   +1 more source