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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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

  • 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