Corpus ID: 220633611

# On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories

@article{Martins2020OnMU,
title={On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories},
author={Y. X. Martins and L. F. A. Campos and Rodney Josu'e Biezuner},
journal={arXiv: Mathematical Physics},
year={2020}
}
• Published 2020
• Mathematics, Physics
• arXiv: Mathematical Physics
In this paper we continue the program on the classification of extensions of the Standard Model of Particle Physics started in arXiv:2007.01660. We propose four complementary questions to be considered when trying to classify any class of extensions of a fixed Yang-Mills-type theory $S^G$: existence problem, obstruction problem, maximality problem and universality problem. We prove that all these problems admits a purely categorical characterization internal to the category of extensions of $S… Expand 3 Citations On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories • Mathematics, Physics • 2020 In this paper we consider the classification problem of extensions of Yang-Mills-type (YMT) theories. For us, a YMT theory differs from the classical Yang-Mills theories by allowing an arbitraryExpand An Axiomatization Proposal and a Global Existence Theorem for Strong Emergence Between Parameterized Lagrangian Field Theories • Mathematics, Physics • 2020 In this paper we propose an axiomatization for the notion of strong emergence phenomenon between field theories depending on additional parameters, which we call parameterized field theories. WeExpand Towards An Approach to Hilbert's Sixth Problem: A Brief Review • Mathematics • 2020 In 1900 David Hilbert published his famous list of 23 problems. The sixth of them-the axiomatization of Physics-remains partially unsolved. In this work we will give a gentle introduction and a briefExpand #### References SHOWING 1-10 OF 41 REFERENCES On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories • Mathematics, Physics • 2020 In this paper we consider the classification problem of extensions of Yang-Mills-type (YMT) theories. For us, a YMT theory differs from the classical Yang-Mills theories by allowing an arbitraryExpand Topological and geometric obstructions on Einstein–Hilbert–Palatini theories • Mathematics, Physics • Journal of Geometry and Physics • 2019 Abstract In this article we introduce A -valued Einstein–Hilbert–Palatini functional ( A -EHP) over a n -manifold M , where A is an arbitrary graded algebra, as a generalization of the functionalExpand Four-Dimensional Yang–Mills Theory as a Deformation of Topological BF Theory Abstract:The classical action for pure Yang–Mills gauge theory can be formulated as a deformation of the topological BF theory where, beside the two-form field B, one has to add one extra-field ηExpand Geometric Obstructions on Gravity • Mathematics, Physics • 2019 These are notes for a short course and some talks gave at Departament of Mathematics and at Departament of Physics of Federal University of Minas Gerais, based on the author's paper arXiv:1808.09249.Expand String theory and noncommutative geometry • Physics • 1999 We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimallyExpand Leibniz-Yang-Mills gauge theories and the 2-Higgs mechanism • T. Strobl • Physics, Mathematics • Physical Review D • 2019 A quadratic Leibniz algebra$(\mathbb{V},[ \cdot, \cdot ],\kappa)$gives rise to a canonical Yang-Mills type functional$S$over every space-time manifold. The gauge fields consist of 1-forms$A$Expand On the Unicity of the Homotopy Theory of Higher Categories • Mathematics • 2011 We axiomatise the theory of$(\infty,n)$-categories. We prove that the space of theories of$(\infty,n)$-categories is a$B(\mathbb{Z}/2)^n$. We prove that Rezk's complete Segal$\Theta_n\$-spaces,Expand
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