Results 1 to 10 of about 2,108,594 (166)
SL $$(2,{\mathbb{C}})$$ ( 2 , C ) non-Abelian gauge fields in a photonic molecule array [PDF]
Nature CommunicationsEngineering the topological properties of the system has been a longstanding subject in physics. Here, we propose a scheme to simulate topological materials with a non-Abelian gauge field in synthetic space-frequency dimensions where the symmetry between
Zhaohui Dong, Xianfeng Chen, Luqi Yuan
doaj +2 more sources
On the motive of O'Grady's six dimensional hyper-K\"{a}hler varieties [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove that the rational Chow motive of a six dimensional hyper-K\"{a}hler variety obtained as symplectic resolution of O'Grady type of a singular moduli space of semistable sheaves on an abelian surface $A$ belongs to the tensor category of motives ...
Salvatore Floccari
doaj +1 more source
Abelian Complex Structures and Generalizations
Complex Manifolds, 2021 After a review on the development of deformation theory of abelian complex structures from both the classical and generalized sense, we propose the concept of semi-abelian generalized complex structure.
Poon Yat Sun
doaj +1 more source
The Abelian Kernel of an Inverse Semigroup
Mathematics, 2020 The problem of computing the abelian kernel of a finite semigroup was first solved by Delgado describing an algorithm that decides whether a given element of a finite semigroup S belongs to the abelian kernel.
A. Ballester-Bolinches +1 more
doaj +1 more source
$a\times b=c$ in $2+1$D TQFT [PDF]
Quantum, 2021 We study the implications of the anyon fusion equation $a\times b=c$ on global properties of $2+1$D topological quantum field theories (TQFTs). Here $a$ and $b$ are anyons that fuse together to give a unique anyon, $c$.
Matthew Buican +2 more
doaj +1 more source
Hopf and Lie algebras in semi-additive Varieties [PDF]
Logical Methods in Computer Science, 2017 We study Hopf monoids in entropic semi-additive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor.
Hans-E. Porst
doaj +1 more source
The least dimonoid congruences on relatively free trioids
Математичні Студії, 2022 When Loday and Ronco studied ternary planar trees, they introduced types of algebras, called trioids and trialgebras. A trioid is a nonempty set equipped with three binary associative operations satisfying additional eight axioms relating these ...
A. V. Zhuchok
doaj +1 more source
Transposition Regular AG-Groupoids and Their Decomposition Theorems
Mathematics, 2022 In this paper, we introduce transposition regularity into AG-groupoids, and a variety of transposition regular AG-groupoids (L1/R1/LR, L2/R2/L3/R3-groupoids) are obtained. Their properties and structures are discussed by their decomposition theorems: (1)
Yudan Du, Xiaohong Zhang, Xiaogang An
doaj +1 more source
Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves
Journal of Mathematical Cryptology, 2020 We describe a framework for constructing an efficient non-interactive key exchange (NIKE) protocol for n parties for any n ≥ 2. Our approach is based on the problem of computing isogenies between isogenous elliptic curves, which is believed to be ...
Boneh Dan +7 more
doaj +1 more source
Many phases of generalized 3D instanton crystals
SciPost Physics, 2021 Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. In this article we initiate the analysis of the three-dimensional crystal
Matti Jarvinen, Vadim Kaplunovsky, Jacob Sonnenschein
doaj +1 more source