Results 41 to 50 of about 920 (192)

Renormalizable extension of the Abelian Higgs-Kibble model with a dim.6 derivative operator

SciPost Physics Proceedings, 2023
We present a new approach to the consistent subtraction of a non power-counting renormalizable extension of the Abelian Higgs-Kibble (HK) model supplemented by a dim. 6 derivative-dependent operator controlled by the parameter $z$.
Daniele Binosi, Andrea Quadri
doaj   +1 more source

A toy model for background independent string field theory

Journal of High Energy Physics, 2022
We study gauge theories of background fields associated to BRST quantized spinning particle models and identify background-independent algebraic structures which allow to systematically reduce the spectrum of fields and subject some of them to dynamical ...
Maxim Grigoriev, Adiel Meyer, Ivo Sachs
doaj   +1 more source

Characterisation of Locally Compact Abelian Groups Having Spectral Synthesis

Forum of Mathematics, Sigma
In this paper we solve a long-standing problem which goes back to Laurent Schwartz’s work on mean periodic functions. Namely, we completely characterize those locally compact Abelian groups having spectral synthesis. So far a characterization theorem was
László Székelyhidi
doaj   +1 more source

Poisson-Lie U-duality in exceptional field theory

Journal of High Energy Physics, 2020
Poisson-Lie duality provides an algebraic extension of conventional Abelian and non-Abelian target space dualities of string theory and has seen recent applications in constructing quantum group deformations of holography.
Emanuel Malek, Daniel C. Thompson
doaj   +1 more source

A Property of Meta-Abelian Extensions [PDF]

Nagoya Mathematical Journal, 1961
Letkbe an algebraic number field of finite degree, A the maximal abelian extension overk, andMa meta-abelian field overhof finite degree, that is,M/kbe a normal extension overkof finite degree with an abelian group as commutator group of its Galois group.
openaire   +2 more sources

Extended Genus Fields of Abelian Extensions of Rational Function Fields

Axioms
In this paper, we obtain the extended genus field of a finite abelian extension of a global rational function field. We first study the case of a cyclic extension of prime power degree. For the general case, we use the fact that the extended genus fields
Juan Carlos Hernandez-Bocanegra, Gabriel Villa-Salvador   +1 more
doaj   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Semi-abelian Z-theory: NLSM+ϕ 3 from the open string

Journal of High Energy Physics, 2017
We continue our investigation of Z-theory, the second double-copy component of open-string tree-level interactions besides super-Yang-Mills (sYM). We show that the amplitudes of the extended non-linear sigma model (NLSM) recently considered by Cachazo ...
John Joseph M. Carrasco, Carlos R. Mafra, Oliver Schlotterer   +2 more
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

AdS 6 T-duals and type IIB AdS 6 × S 2 geometries with 7-branes

Journal of High Energy Physics, 2019
We show that the first AdS 6 backgrounds in Type IIB supergravity known in the literature, namely those constructed via T-duality from the Brandhuber-Oz solution to massive IIA, fit within an extension of the global AdS 6 × S 2 solutions with 7-branes ...
Yolanda Lozano, Niall T. Macpherson, Jesús Montero   +2 more
doaj   +1 more source