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This paper is devoted to the equivalence of various characterizations of holomorphic $H^1$ Hardy spaces on tube domains over polyhedral cones. We establish a new iterated Poisson integral formula which reproduces holomorphic functions on…

Complex Variables · Mathematics 2026-03-18 Zunwei Fu , Loukas Grafakos , Wei Wang , Qingyan Wu

Twisted bilayers of two-dimensional (2D) materials are proving a fertile ground for investigating strongly correlated electron phases. This is because the moir\'e pattern introduced by the relative twist between layers introduces…

Materials Science · Physics 2021-10-13 Hao Tang , Stephen Carr , Efthimios Kaxiras

Superintegrable systems of 2nd order in 3 dimensions with exactly 3-parameter potentials are intriguing objects. Next to the nondegenerate 4-parameter potential systems they admit the maximum number of symmetry operators but their symmetry…

Mathematical Physics · Physics 2017-03-08 M. A. Escobar-Ruiz , W. Miller

We extend the geometric approach to vertex algebras developed by the first author to twisted modules, allowing us to treat orbifold models in conformal field theory. Let $V$ be a vertex algebra, $H$ a finite group of automorphisms of $V$,…

Algebraic Geometry · Mathematics 2007-05-23 Edward Frenkel , Matthew Szczesny

We extend Witten's discussion of actions related to the Landau-Ginzburg description of Calabi-Yau hypersurfaces in weighted projective spaces to cover the mirror class of models that include twisted chiral matter multiplets and a newly…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates,

In this work we investigate 5-dimensional theories obtained from M-theory on genus one fibered threefolds which exhibit twisted algebras in their fibers. We provide a base-independent algebraic description of the threefolds and compute…

High Energy Physics - Theory · Physics 2023-08-16 Lara B. Anderson , James Gray , Paul-Konstantin Oehlmann

Twisted bilayer graphene displays many fascinating properties that can be tuned by varying the relative angle (also called twist angle) between its monolayers. As a remarkable feature, both the electronic flat bands and the corresponding…

Materials Science · Physics 2022-05-06 V. Hung Nguyen , Trinh X. Hoang , J. -C. Charlier

We continue the study of partition functions of 5d supersymmetric theories on manifolds taking the form of a twisted product $\mathcal{M}_3\times \Sigma_{\mathfrak{g}}$ with $\Sigma_{\mathfrak{g}}$ denoting a Riemann surface of genus…

High Energy Physics - Theory · Physics 2022-04-01 Dharmesh Jain

We study a quantum system in a Riemannian manifold M on which a Lie group G acts isometrically. The path integral on M is decomposed into a family of path integrals on a quotient space Q=M/G and the reduced path integrals are completely…

High Energy Physics - Theory · Physics 2007-05-23 Shogo Tanimura

We propose a general procedure to construct noncommutative deformations of an algebraic submanifold $M$ of $\mathbb{R}^n$, specializing the procedure [G. Fiore, T. Weber, Twisted submanifolds of $\mathbb{R}^n$, arXiv:2003.03854] valid for…

Mathematical Physics · Physics 2021-05-24 Gaetano Fiore , Davide Franco , Thomas Weber

We study 4d superconformal indices for a large class of N=1 superconformal quiver gauge theories realized combinatorially as a bipartite graph or a set of "zig-zag paths" on a two-dimensional torus T^2. An exchange of loops, which we call a…

High Energy Physics - Theory · Physics 2012-06-07 Masahito Yamazaki

Following Boalch-Yamakawa and Meinrenken, we consider a certain class of moduli spaces on bordered surfaces from a quasi-Hamiltonian perspective. For a given Lie group $G$, these character varieties parametrize flat $G$-connections on…

Differential Geometry · Mathematics 2021-02-03 Ahmed J. Zerouali

Twisted separable functors generalize the separable functors of Nastasescu, Van den Bergh and Van Oystaeyen, and provide a convenient tool to compare various projective dimensions. We discuss when an adjoint functor is twisted separable,…

Category Theory · Mathematics 2023-07-13 Julien Bichon

Multi-norm singular integrals and Fourier multipliers were introduced in [29], and one application of these notions was a precise description of the composition of convolution operators with Calder\'on-Zygmund kernels adapted to $n$…

Functional Analysis · Mathematics 2025-07-15 Agnieszka Hejna , Alexander Nagel , Fulvio Ricci

This article is an expository account of the theory of twisted commutative algebras, which simply put, can be thought of as a theory for handling commutative algebras with large groups of linear symmetries. Examples include the coordinate…

Commutative Algebra · Mathematics 2012-09-25 Steven V Sam , Andrew Snowden

Studies of twisted moir\'e systems have been mainly focused on two-dimensional (2D) materials such as graphene with Dirac points and transition-metal-dichalcogenide so far. Here we propose a twisted bilayer of 2D systems which feature…

Strongly Correlated Electrons · Physics 2022-12-27 Ming-Rui Li , Ai-Lei He , Hong Yao

We give a short introduction to the theory of twisted Alexander polynomials of a 3--manifold associated to a representation of its fundamental group. We summarize their formal properties and we explain their relationship to twisted…

Geometric Topology · Mathematics 2010-02-05 Stefan Friedl , Stefano Vidussi

Topos theory has been suggested first by Isham and Butterfield, and then by Isham and Doering, as an alternative mathematical structure within which to formulate physical theories. In particular, it has been used to reformulate standard…

Quantum Physics · Physics 2012-10-30 Wilson Brenna , Cecilia Flori

We review the Reidemeister torsion, Ray-Singer's analytic torsion and the Cheeger-M"uller theorem. We describe the analytic torsion of the de Rham complex twisted by a flux form introduced by the current authors and recall its properties.…

Differential Geometry · Mathematics 2010-03-13 Varghese Mathai , Siye Wu

Using general principles in the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie algebra of differential operators on the circle, for an…

Quantum Algebra · Mathematics 2011-02-01 Benjamin Doyon , James Lepowsky , Antun Milas
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