Results 91 to 100 of about 117,966 (253)

Twists of twisted generalized Weyl algebras

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2680-2697, September 2025.
Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley   +1 more source

Path Integral Spin Dynamics for Quantum Paramagnets

Advanced Physics Research, Volume 4, Issue 8, August 2025.
The study has developed a path integral method, which is a classical approach, combined with atomistic spin dynamics simulations to calculate thermal quantum expectation values. This method can handle Hamiltonians with non‐linear terms, which are important for describing uniaxial anisotropies and mechanical constraints.
Thomas Nussle, Pascal Thibaudeau, Stam Nicolis   +2 more
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

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

Global bases for Bosonic extensions of quantum unipotent coordinate rings

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract In the paper, we establish the global basis theory for the bosonic extension Â$\widehat{\mathcal {A}}$ associated with an arbitrary symmetrizable generalized Cartan matrix. When Â$\widehat{\mathcal {A}}$ is of simply laced finite type, Â$\widehat{\mathcal {A}}$ is isomorphic to the quantum Grothendieck ring Kq(Cg0)$\mathcal {K}_q(\mathcal ...
Masaki Kashiwara, Myungho Kim, Se‐jin Oh, Euiyong Park   +3 more
wiley   +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

Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity

, 2015
Noncommutative geometry, in its many incarnations, appears at the crossroad of various researches in theoretical and mathematical physics: from models of quantum space-time (with or without breaking of Lorentz symmetry) to loop gravity and string theory,
Martinetti, Pierre
core   +1 more source

Noncommutative Quantum Field Theories

, 2003
45 pages, 11 figures, lectures delivered at the XII Jorge Andre Swieca Summar School, Section Particles and Fields, Campos de Jordao, Brazil, 2003.
openaire   +2 more sources

Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley   +1 more source

A New Matrix Model for Noncommutative Field Theory

, 2003
We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra.
Alexandrov, Ambjørn, Ambjørn, Ambjørn, Bars, Becchi, Bietenholz, Boca, Douglas, Elliott, Fedele Lizzi, Giovanni Landi, Gopakumar, Gopakumar, Grosse, Gubser, Kajiura, Klebanov, Konechny, Krajewski, Landi, Langmann, Lizzi, Mandal, Martinec, Martinec, McGreevy, McGreevy, Minwalla, Richard J. Szabo, Rieffel, Sahraoui, Szabo   +32 more
core   +1 more source