Results 91 to 100 of about 115,374 (223)

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

Noncommutative Field Theory from twisted Fock space

, 2006
We construct a quantum field theory in noncommutative spacetime by twisting the algebra of quantum operators (especially, creation and annihilation operators) of the corresponding quantum field theory in commutative spacetime.
Chang Hyon Vac, D. Bahns, Hyeong-Chan Kim, J. E. Moyal, Jae Hyung Yee, Jong-Geon Bu, Robert M. Wald, S. Majid, Steven Weinberg, Youngone Lee   +9 more
core   +1 more source

Non-Abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices

Physical Review Research, 2020
By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually noncommutative), we derive a class of higher-rank tensor non-Abelian gauge ...
Juven Wang, Shing-Tung Yau
doaj   +1 more source

A Unified Approach to Image Recognition and Cryptography via Flexible Weak Inverse Property Quasigroups

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography. Its distinctive traits introduce genuine concepts and procedures not found in conventional associative algebra, yielding to new results from studies and breakthroughs in multiple disciplines ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, Samuel Asefa Fufa, Abdul Rauf Khan   +5 more
wiley   +1 more source

Perturbative Symmetries on Noncommutative Spaces

, 2004
Perturbative deformations of symmetry structures on noncommutative spaces are studied in view of noncommutative quantum field theories. The rigidity of enveloping algebras of semi-simple Lie algebras with respect to formal deformations is reviewed in the
Amelino-Camelia G., Amelino-Camelia G., Calmet X., Carow-Watamura C., CHRISTIAN BLOHMANN, Drinfeld V. G., Drinfeld V. G., Drinfeld V. G., Faddeev L. D., Iltan E. O., Jurco B., Kassel C., Madore J., Manin Y. I., Matusis A., Minwalla S., Seiberg N., Sklyanin E. K.   +17 more
core   +1 more source

PBW Deformations of Smash Products Involving Hopf Algebra of Kac–Paljutkin Type

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Let H2n2 be the Kac–Paljutkin–type Hopf algebra of dimension 2n2, A its graded Koszul Artin–Schelter regular H2n2‐module algebra of Dimension 2, A! the Koszul dual of A, and Acop the braided‐opposite algebra of A. This paper describes (0, 1)‐degree PBW deformations of the smash product A♯H2n2 and those of A!♯H2n2 under the condition that the Koszul ...
Yujie Gao, Shilin Yang, Naihuan Jing
wiley   +1 more source

Noncommutative gauge symmetry in the fractional quantum Hall effect

Journal of High Energy Physics
We show that a system of particles on the lowest Landau level can be coupled to a probe U(1) gauge field A $$ \mathcal{A} $$ μ in such a way that the theory is invariant under a noncommutative U(1) gauge symmetry.
Yi-Hsien Du, Umang Mehta, Dam Thanh Son
doaj   +1 more source

Unification of κ-Minkowski and extended Snyder spaces

Physics Letters B, 2021
In a recent paper, we have studied associative realizations of the noncommutative extended Snyder model, obtained by including the Lorentz generators (tensorial coordinates) and their conjugated momenta.
S. Meljanac, S. Mignemi
doaj  

EXISTENCE OF ASYMPTOTIC EXPANSIONS IN NONCOMMUTATIVE QUANTUM FIELD THEORIES [PDF]

Reviews in Mathematical Physics, 2008
Starting from the complete Mellin representation of Feynman amplitudes for noncommutative vulcanized scalar quantum field theory, introduced in a previous publication, we generalize to this theory the study of asymptotic behaviors under scaling of arbitrary subsets of external invariants of any Feynman amplitude.
I. Roditi, C. A. Linhares, Adolfo P C Malbouisson   +2 more
openaire   +3 more sources

Harnessing quantum power: Revolutionizing materials design through advanced quantum computation

Materials Genome Engineering Advances, Volume 2, Issue 4, December 2024.
The robust framework for advanced materials design via the quantum machine learning is summarized in this review, emphasizing the transformative potential of quantum technologies in revolutionizing materials innovation. Abstract The design of advanced materials for applications in areas of photovoltaics, energy storage, and structural engineering has ...
Zikang Guo, Rui Li, Xianfeng He, Jiang Guo, Shenghong Ju   +4 more
wiley   +1 more source