Results 61 to 70 of about 297,060 (285)
Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras
Nuclear Physics B, 2018 We study the ground states and left-excited states of the Ak−1 N=(2,0) little string theory. Via a theorem by Atiyah [1], these sectors can be captured by a supersymmetric nonlinear sigma model on CP1 with target space the based loop group of SU(k).
Meer Ashwinkumar +4 more
doaj +1 more source
A Sharper Ramsey Theorem for Constrained Drawings
Journal of Graph Theory, EarlyView.ABSTRACT Given a graph G $G$ and a collection C ${\mathscr{C}}$ of subsets of Rd ${{\mathbb{R}}}^{d}$ indexed by the subsets of vertices of G $G$, a constrained drawing of G $G$ is a drawing where each edge is drawn inside some set from C ${\mathscr{C}}$, in such a way that nonadjacent edges are drawn in sets with disjoint indices.
Pavel Paták
wiley +1 more source
Multiloop Lie algebras and the construction of extended affine Lie algebras
Journal of Algebra, 2010 31 pages, corrected typos, added ...
openaire +3 more sources
Poisson-Lie T-duality of WZW model via current algebra deformation
Journal of High Energy Physics, 2020 Poisson-Lie T-duality of the Wess-Zumino-Witten (WZW) model having the group manifold of SU(2) as target space is investigated. The whole construction relies on the deformation of the affine current algebra of the model, the semi-direct sum su 2 ℝ ⊕ ⋅ a $
Francesco Bascone +2 more
doaj +1 more source
PsyCh Journal, EarlyView.ABSTRACT Social desirability affects several aspects of human life. However, the neuropsychological mechanisms underlying individual differences in social desirability remain unclear. This study explored the neuroanatomical basis of individual differences in social desirability using regional gray matter density (rGMD) as a brain indicator in a sample ...
Rui Li, Ling‐Xiang Xia
wiley +1 more source
Braided Tensor Categories of Admissible Modules for Affine Lie Algebras [PDF]
Communications in Mathematical Physics, 2017 Using the tensor category theory developed by Lepowsky, Zhang and the second author, we construct a braided tensor category structure with a twist on a semisimple category of modules for an affine Lie algebra at an admissible level.
T. Creutzig, Yi-Zhi Huang, Jinwei Yang
semanticscholar +1 more source
Schur Functions and Affine Lie Algebras
Journal of Algebra, 1998 AbstractWe make use of the representation theory of the infinite-dimensional Lie algebrasa∞,b∞, and [formula] to derive explicit formulas relating Schur'sP-functions to Schur'sS-functions.
Séverine Leidwanger, Bernard Leclerc
openaire +2 more sources
From phase space to integrable representations and level-rank duality
Journal of High Energy Physics, 2018 We explicitly find representations for different large N phases of Chern-Simons matter theory on S 2 × S 1. These representations are characterised by Young diagrams.
Arghya Chattopadhyay +2 more
doaj +1 more source
Smooth affine group schemes over the dual numbers [PDF]
Épijournal de Géométrie Algébrique, 2019 We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
doaj +1 more source
The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley +1 more source