Plane-parallel waves as Jacobi-Lie models

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F25%3A00381116" target="_blank" >RIV/68407700:21240/25:00381116 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21340/25:00381116

Výsledek na webu

<a href="https://doi.org/10.1088/1361-6382/adaabb" target="_blank" >https://doi.org/10.1088/1361-6382/adaabb</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6382/adaabb" target="_blank" >10.1088/1361-6382/adaabb</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Plane-parallel waves as Jacobi-Lie models

Popis výsledku v původním jazyce

T-duality and its generalizations are widely recognized either as symmetries or solution-generating techniques in string theory. Recently introduced Jacobi-Lie T-plurality is based on Leibniz algebras whose structure constants f_{ab}^c, f_c^{ab}, Z_a, Z^a satisfy further conditions. Low dimensional Jacobi-Lie bialgebras were classified a few years ago. We study four- and six-dimensional algebras with structure constants f_b^{ba} = Z^a = 0 and show that there are several classes consisting of mutually isomorphic algebras. Using isomorphisms between Jacobi-Lie bialgebras we investigate three- and four-dimensional sigma models related by Jacobi-Lie T-plurality with and without spectators. In the Double Field Theory formulation constant generalized fluxes F_A are used in the literature to transform dilaton field. We extend the procedure to non-constant fluxes and verify that obtained backgrounds and dilatons solve Supergravity Equations. Most of the resulting backgrounds have vanishing curvature scalars and, as can be seen by finding Brinkmann coordinates, represent plane-parallel waves.

Název v anglickém jazyce

Plane-parallel waves as Jacobi-Lie models

Popis výsledku anglicky

T-duality and its generalizations are widely recognized either as symmetries or solution-generating techniques in string theory. Recently introduced Jacobi-Lie T-plurality is based on Leibniz algebras whose structure constants f_{ab}^c, f_c^{ab}, Z_a, Z^a satisfy further conditions. Low dimensional Jacobi-Lie bialgebras were classified a few years ago. We study four- and six-dimensional algebras with structure constants f_b^{ba} = Z^a = 0 and show that there are several classes consisting of mutually isomorphic algebras. Using isomorphisms between Jacobi-Lie bialgebras we investigate three- and four-dimensional sigma models related by Jacobi-Lie T-plurality with and without spectators. In the Double Field Theory formulation constant generalized fluxes F_A are used in the literature to transform dilaton field. We extend the procedure to non-constant fluxes and verify that obtained backgrounds and dilatons solve Supergravity Equations. Most of the resulting backgrounds have vanishing curvature scalars and, as can be seen by finding Brinkmann coordinates, represent plane-parallel waves.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Classical and Quantum Gravity

ISSN

0264-9381

e-ISSN

1361-6382

Svazek periodika

42

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

30

Strana od-do

—

Kód UT WoS článku

001418095600001

EID výsledku v databázi Scopus

2-s2.0-85218168154