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20182020
most citedTopological and Geometric Obstructions on Einstein-Hilbert-Palatini Theories

6 citations · 18 across the 12 of their papers we have counts for

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Showing 2020Show all

5 papers · 1 filter

math-ph2020

An Axiomatization Proposal and a Global Existence Theorem for Strong Emergence Between Parameterized Lagrangian Field Theories

Yuri Ximenes Martins, Rodney Josué Biezuner

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 fiel…

math-ph2020★ 1 cited

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

Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner

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 quest…

math-ph2020★ 2 cited

On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories

Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner

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 allowin…

math.AT2020

Introduction to Abstract Homotopy Theory

Yuri Ximenes Martins

This is an introduction to the study of abstract homotopy theory by means of model categories and -categories. The only prerequisites are very basic general topology an…

math-ph2020★ 3 cited

Towards Axiomatization and General Results on Strong Emergence Phenomena Between Lagrangian Field Theories

Yuri Ximenes Martins, Roney Josué Biezuner

In this paper we propose a formal definition of what is a strong emergence phenomenon between two parameterized field theories and we present sufficient conditions ensuring the exi…