Gauge PDE and AKSZ-type Sigma Models LMS/EPSRC Durham Symposium on Higher Structures in M-Theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F19%3A50015819" target="_blank" >RIV/62690094:18470/19:50015819 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/pdf/10.1002/prop.201910007" target="_blank" >https://onlinelibrary.wiley.com/doi/pdf/10.1002/prop.201910007</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/prop.201910007" target="_blank" >10.1002/prop.201910007</a>
Alternative languages
Result language
angličtina
Original language name
Gauge PDE and AKSZ-type Sigma Models LMS/EPSRC Durham Symposium on Higher Structures in M-Theory
Original language description
A gauge PDE is a natural notion which arises by abstracting what physicists call a local gauge field theory defined in terms of BV-BRST differential (not necessarily Lagrangian). We study supergeometry of gauge PDEs paying particular attention to globally well-defined definitions and equivalences of such objects. We demonstrate that a natural geometrical language to work with gauge PDEs is that of Q-bundles. In particular, we demonstrate that any gauge PDE can be embedded into a super-jet bundle of the Q-bundle. This gives a globally well-defined version of the so-called parent formulation. In the case of reparameterization-invariant systems, the parent formulation takes the form of an AKSZ-type sigma model with an infinite-dimensional target space.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-00496S" target="_blank" >GA18-00496S: Singular spaces from special holonomy and foliations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
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-PROGRESS OF PHYSICS
ISSN
0015-8208
e-ISSN
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Volume of the periodical
67
Issue of the periodical within the volume
8-9
Country of publishing house
DE - GERMANY
Number of pages
12
Pages from-to
"Article Number: 1910007"
UT code for WoS article
000486266200008
EID of the result in the Scopus database
2-s2.0-85065331313