Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00144586" target="_blank" >RIV/00216224:14310/25:00144586 - isvavai.cz</a>

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/10.1002/andp.202500121?af=R" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/andp.202500121?af=R</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/andp.202500121" target="_blank" >10.1002/andp.202500121</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework

Popis výsledku v původním jazyce

Relationality is the paradigmatic conceptual core of general-relativistic gauge field theory. It can be made manifest via the Dressing Field Method (DFM) of symmetry reduction, a systematic tool to achieve gauge-invariance by extracting the physical degrees of freedom representing relations among field variables. Some applications of the DFM are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory and (dis)solves crucial issues. Furthermore, a novel approach within the relational supersymmetric field theory framework giving a unified description of fermionic matter fields and bosonic gauge fields is elaborated, and thus close to Berezin's original motivation for the introduction of supergeometry in fundamental physics: a Matter-Interaction Supergeometric Unification (MISU). This new approach stands irrespective from the ultimate empirical status of standard supersymmetric field theory, about which it is agnostic.

Název v anglickém jazyce

Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework

Popis výsledku anglicky

Relationality is the paradigmatic conceptual core of general-relativistic gauge field theory. It can be made manifest via the Dressing Field Method (DFM) of symmetry reduction, a systematic tool to achieve gauge-invariance by extracting the physical degrees of freedom representing relations among field variables. Some applications of the DFM are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory and (dis)solves crucial issues. Furthermore, a novel approach within the relational supersymmetric field theory framework giving a unified description of fermionic matter fields and bosonic gauge fields is elaborated, and thus close to Berezin's original motivation for the introduction of supergeometry in fundamental physics: a Matter-Interaction Supergeometric Unification (MISU). This new approach stands irrespective from the ultimate empirical status of standard supersymmetric field theory, about which it is agnostic.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA24-10887S" target="_blank" >GA24-10887S: Cartanovy supergeometrie a vyšší Cartanovy geometrie</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

ANNALEN DER PHYSIK

ISSN

0003-3804

e-ISSN

1521-3889

Svazek periodika

537

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

18

Strana od-do

1-18

Kód UT WoS článku

001526663600001

EID výsledku v databázi Scopus

2-s2.0-105010509920