Higher groupoid bundles, higher spaces, and self-dual tensor field equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10333649" target="_blank" >RIV/00216208:11320/16:10333649 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1002/prop.201600031" target="_blank" >http://dx.doi.org/10.1002/prop.201600031</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/prop.201600031" target="_blank" >10.1002/prop.201600031</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Higher groupoid bundles, higher spaces, and self-dual tensor field equations

Popis výsledku v původním jazyce

We develop a description of higher gauge theory with higher groupoids as gauge structure from first principles. This approach captures ordinary gauge theories and gauged sigma models as well as their categorifications on a very general class of (higher) spaces comprising presentable differentiable stacks, as e.g. orbifolds. We start off with a self-contained review on simplicial sets as models of (8, 1)-categories. We then discuss principal bundles in terms of simplicial maps and their homotopies. We explain in detail a differentiation procedure, suggested by. Severa, that maps higher groupoids to L-infinity-algebroids. Generalising this procedure, we define connections for higher groupoid bundles. As an application, we obtain six-dimensional superconformal field theories via a Penrose-Ward transform of higher groupoid bundles over a twistor space. This construction reduces the search for non-Abelian self-dual tensor field equations in six dimensions to a search for the appropriate (higher) gauge structure. The treatment aims to be accessible to theoretical physicists.

Název v anglickém jazyce

Higher groupoid bundles, higher spaces, and self-dual tensor field equations

Popis výsledku anglicky

We develop a description of higher gauge theory with higher groupoids as gauge structure from first principles. This approach captures ordinary gauge theories and gauged sigma models as well as their categorifications on a very general class of (higher) spaces comprising presentable differentiable stacks, as e.g. orbifolds. We start off with a self-contained review on simplicial sets as models of (8, 1)-categories. We then discuss principal bundles in terms of simplicial maps and their homotopies. We explain in detail a differentiation procedure, suggested by. Severa, that maps higher groupoids to L-infinity-algebroids. Generalising this procedure, we define connections for higher groupoid bundles. As an application, we obtain six-dimensional superconformal field theories via a Penrose-Ward transform of higher groupoid bundles over a twistor space. This construction reduces the search for non-Abelian self-dual tensor field equations in six dimensions to a search for the appropriate (higher) gauge structure. The treatment aims to be accessible to theoretical physicists.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

—

Projekt

<a href="/cs/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku</a><br>

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Fortschritte der Physik

ISSN

0015-8208

e-ISSN

—

Svazek periodika

64

Číslo periodika v rámci svazku

8-9

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

44

Strana od-do

674-717

Kód UT WoS článku

000384839200005

EID výsledku v databázi Scopus

2-s2.0-84979499897