Double Copy from Tensor Products of Metric BV-algebras

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10510041" target="_blank" >RIV/00216208:11320/25:10510041 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=JgoVG_QUTI" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=JgoVG_QUTI</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/prop.202300270" target="_blank" >10.1002/prop.202300270</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Double Copy from Tensor Products of Metric BV-algebras

Popis výsledku v původním jazyce

Field theories with kinematic Lie algebras, such as field theories featuring color-kinematics duality, possess an underlying algebraic structure known as BV&lt;black square&gt;-algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV&lt;black square&gt;-algebra. The authors explain this perspective, expanding on our previous work and providing many additional mathematical details. The authors also show how the tensor product of two metric BV&lt;black square&gt;-algebras yields the action of a new syngamy field theory, a construction which comprises the familiar double copy construction. As examples, the authors discuss various scalar field theories, Chern-Simons theory, self-dual Yang-Mills theory, and the pure spinor formulations of both M2-brane models and supersymmetric Yang-Mills theory. The latter leads to a new cubic pure spinor action for 10-dimensional supergravity. A homotopy-algebraic perspective on colour-flavour-stripping is also given, obtain a new restricted tensor product over a wide class of bialgebras, and it is also show that any field theory (even one without colour-kinematics duality) comes with a kinematic L-infinity-algebra.

Název v anglickém jazyce

Double Copy from Tensor Products of Metric BV-algebras

Popis výsledku anglicky

Field theories with kinematic Lie algebras, such as field theories featuring color-kinematics duality, possess an underlying algebraic structure known as BV&lt;black square&gt;-algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV&lt;black square&gt;-algebra. The authors explain this perspective, expanding on our previous work and providing many additional mathematical details. The authors also show how the tensor product of two metric BV&lt;black square&gt;-algebras yields the action of a new syngamy field theory, a construction which comprises the familiar double copy construction. As examples, the authors discuss various scalar field theories, Chern-Simons theory, self-dual Yang-Mills theory, and the pure spinor formulations of both M2-brane models and supersymmetric Yang-Mills theory. The latter leads to a new cubic pure spinor action for 10-dimensional supergravity. A homotopy-algebraic perspective on colour-flavour-stripping is also given, obtain a new restricted tensor product over a wide class of bialgebras, and it is also show that any field theory (even one without colour-kinematics duality) comes with a kinematic L-infinity-algebra.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GX19-28628X" target="_blank" >GX19-28628X: Homotopické a homologické metody a nástroje úzce související s matematickou fyzikou</a><br>

Návaznosti

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

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Fortschritte der Physik

ISSN

0015-8208

e-ISSN

1521-3978

Svazek periodika

73

Číslo periodika v rámci svazku

1-2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

55

Strana od-do

1-55

Kód UT WoS článku

001358304100001

EID výsledku v databázi Scopus

2-s2.0-85208916313