All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

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

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

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

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Fortschritte der Physik

  • ISSN

    0015-8208

  • e-ISSN

  • Volume of the periodical

    64

  • Issue of the periodical within the volume

    8-9

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    44

  • Pages from-to

    674-717

  • UT code for WoS article

    000384839200005

  • EID of the result in the Scopus database

    2-s2.0-84979499897