Results 21 to 30 of about 53,900 (153)

Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras

Известия Иркутского государственного университета: Серия "Математика", 2019
Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker, V. M. Levchuk, E. A. Sotnikova   +2 more
doaj   +1 more source

Supersymmetric localization in AdS5 and the protected chiral algebra

Journal of High Energy Physics, 2018
N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory admits [1] a protected subsector isomorphic to a two-dimensional chiral algebra, obtained by passing to the cohomology of a certain supercharge. In the large N limit, we expect this chiral algebra to have a
Federico Bonetti, Leonardo Rastelli
doaj   +1 more source

Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries [PDF]

AUT Journal of Mathematics and Computing
The Kaluza-Klein theory can be reckoned as a classical unified field theory of two of the significant forces of nature gravitation and electromagnetism.
Fatemeh Ahangari
doaj   +1 more source

Trivalent Categories for Adjoint Representations of Exceptional Lie Algebras

, 2022
We consider the universal pivotal, symmetric, monoidal, $\Bbbk$-linear category, generated by a Schurian object with a skew-symmetric multiplication, and study some of its quotients. We show that these quotients give rise to either vector product algebras or representation categories of exceptional Lie algebras.
openaire   +2 more sources

Superalgebras in $N=1$ Gauge Theories [PDF]

, 1996
$N=1$ supersymmetric gauge theories with global flavor symmetries contain a gauge invariant W-superalgebra which acts on its moduli space of gauge invariants. With adjoint matter, this superalgebra reduces to a graded Lie algebra. When the gauge group is
Banks, Intriligator, Intriligator, Patera, Pierre Ramond, Seiberg, Shifman   +6 more
core   +3 more sources

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

Strings from $N=2$ Gauged Wess-Zumino-Witten Models [PDF]

, 1995
We present an algebraic approach to string theory. An embedding of $sl(2|1)$ in a super Lie algebra together with a grading on the Lie algebra determines a nilpotent subalgebra of the super Lie algebra.
A. Bais, A. Boresch, A. Sevrin, A. Sevrin, B. Gato-Rivera, E. Ragoucy, F. Delduc, F. Delduc, H. Ooguri, J.O. Madsen, K. Landsteiner, K. Schoutens, L. Frappat, M. Bershadsky, M. Rocek, M. Scheunert, N. Berkovits, P. Goddard, P. Sorba   +18 more
core   +2 more sources

Minuscule representations, invariant polynomials, and spectral covers

, 2002
Given a minuscule representation of a simple Lie algebra, we find an algebraic model for the action of a regular element and show that these models can be glued together over the adjoint quotient, viewed as the set of all regular conjugacy classes of the
Friedman, Robert, Morgan, John W.
core   +2 more sources

A commutant realization of Odake's algebra [PDF]

, 2013
The bc\beta\gamma-system W of rank 3 has an action of the affine vertex algebra V_0(sl_2), and the commutant vertex algebra C =Com(V_0(sl_2), W) contains copies of V_{-3/2}(sl_2) and Odake's algebra O.
Andrew, R. Linshaw, Thomas Creutzig
core   +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, EarlyView.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source