L-infinity-Algebras, the BV Formalism, and Classical Fields 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%2F00216208%3A11320%2F19%3A10405856" target="_blank" >RIV/00216208:11320/19:10405856 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=kfxz19Gsmr" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=kfxz19Gsmr</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/prop.201910025" target="_blank" >10.1002/prop.201910025</a>
Alternative languages
Result language
angličtina
Original language name
L-infinity-Algebras, the BV Formalism, and Classical Fields LMS/EPSRC Durham Symposium on Higher Structures in M-Theory
Original language description
We summarise some of our recent works on L-infinity-algebras and quasi-groups with regard to higher principal bundles and their applications in twistor theory and gauge theory. In particular, after a lightning review of L-infinity-algebras, we discuss their Maurer-Cartan theory and explain that any classical field theory admitting an action can be reformulated in this context with the help of the Batalin-Vilkovisky formalism. As examples, we explore higher Chern-Simons theory and Yang-Mills theory. We also explain how these ideas can be combined with those of twistor theory to formulate maximally superconformal gauge theories in four and six dimensions by means of L-infinity-quasi-isomorphisms, and we propose a twistor space action.
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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
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
17
Pages from-to
1910025
UT code for WoS article
000486266200026
EID of the result in the Scopus database
2-s2.0-85068168683