Ambitwistor Yang–Mills Theory Revisited
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10510039" target="_blank" >RIV/00216208:11320/25:10510039 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=3s4QukIZJ6" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=3s4QukIZJ6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00023-025-01572-0" target="_blank" >10.1007/s00023-025-01572-0</a>
Alternative languages
Result language
angličtina
Original language name
Ambitwistor Yang–Mills Theory Revisited
Original language description
Inspired by the Movshev–Mason–Skinner Cauchy–Riemann (CR) ambitwistor approach, we provide a rigorous yet elementary construction of a twisted CR holomorphic Chern–Simons action on CR ambitwistor space for maximally supersymmetric Yang–Mills theory on four- dimensional Euclidean space. The key ingredient in our discussion is the homotopy algebraic perspective on perturbative quantum field theory. Using this technology, we show that both theories are semi-classically equivalent, that is, we construct a quasi-isomorphism between the cyclic L∞-algebras governing both field theories. This confirms a conjecture from the literature. Furthermore, we also show that the Yang–Mills action is obtained by integrating out an infinite tower of auxiliary fields in the Chern–Simons action, that is, the two theories are related by homotopy transfer. Given its simplicity, this Chern–Simons action should form a fruitful starting point for analysing perturbative properties of Yang–Mills theory.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annales Henri Poincaré
ISSN
1424-0637
e-ISSN
1424-0661
Volume of the periodical
neuveden
Issue of the periodical within the volume
April
Country of publishing house
CH - SWITZERLAND
Number of pages
41
Pages from-to
1-41
UT code for WoS article
001477712500001
EID of the result in the Scopus database
2-s2.0-105003743572