Results 101 to 110 of about 90,797 (173)

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

Failure of stability of a maximal operator bound for perturbed Nevo–Thangavelu means

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let G$G$ be a two‐step nilpotent Lie group, identified via the exponential map with the Lie‐algebra g=g1⊕g2$\mathfrak {g}=\mathfrak {g}_1\oplus \mathfrak {g}_2$, where [g,g]⊂g2$[\mathfrak {g},\mathfrak {g}]\subset \mathfrak {g}_2$. We consider maximal functions associated to spheres in a d$d$‐dimensional linear subspace H$H$, dilated by the ...
Jaehyeon Ryu, Andreas Seeger
wiley   +1 more source

Circle packings, renormalizations, and subdivision rules

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley   +1 more source

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

On the UV/IR mixing of Lie algebra-type noncommutatitive ϕ 4-theories

Journal of High Energy Physics
We show that a UV divergence of the propagator integral implies the divergences of the UV/IR mixing in the two-point function at one-loop for a ϕ 4-theory on a generic Lie algebra-type noncommutative space-time.
Kilian Hersent
doaj   +1 more source

Non-associative algebras of cubic matrices and their gauge theories

Journal of High Energy Physics
Motivated by M-theory, we define a new type of non-associative algebra involving usual and cubic matrices at the same time. The resulting algebra can be regarded as a two-term truncated L ∞ algebra giving rise to a fundamental identity between the two ...
Ralph Blumenhagen, Antonia Paraskevopoulou, Thomas Raml   +2 more
doaj   +1 more source

A Note on Dirac Operators on the Quantum Punctured Disk

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded outside of the zero mode.
Slawomir Klimek, Matt McBride
doaj   +1 more source

Yang-Mills field from fuzzy sphere quantum Kaluza-Klein model

Journal of High Energy Physics
Using the framework of quantum Riemannian geometry, we show that gravity on the product of spacetime and a fuzzy sphere is equivalent under minimal assumptions to gravity on spacetime, an su 2-valued Yang-Mills field A μi and a real-symmetric-matrix ...
Chengcheng Liu, Shahn Majid
doaj   +1 more source

Matrix Quantum Mechanics and Entanglement Entropy: A Review. [PDF]

Entropy (Basel)
Fliss JR, Frenkel A.
europepmc   +1 more source

Robustness of Topological Phases on Aperiodic Lattices. [PDF]

Math Phys Anal Geom
Li Y.
europepmc   +1 more source