Jacobi–Lie Models and Supergravity Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F24%3A00375243" target="_blank" >RIV/68407700:21240/24:00375243 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/24:00375243
Result on the web
<a href="https://doi.org/10.1093/ptep/ptae054" target="_blank" >https://doi.org/10.1093/ptep/ptae054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/ptep/ptae054" target="_blank" >10.1093/ptep/ptae054</a>

Result language
angličtina
Original language name
Jacobi–Lie Models and Supergravity Equations
Original language description
Poisson-Lie T-duality/plurality was recently generalized to Jacobi-Lie T-plurality formulated in terms of Double Field Theory and based on Leibniz algebras given by structure coefficients $f_{ab}{}^{c}, f_{c}{}^{ab},$ and $Z_a, Z^a$. We investigate three- and four-dimensional sigma models corresponding to six-dimensional Leibniz algebras with $f_b{}^{ba} neq 0$, $Z^a=0$. We show that these algebras are plural one to another and, moreover, to an algebra with $f_b{}^{ba}= 0$, $Z^a=0$. These pluralities are used for construction of Jacobi--Lie models. It was conjectured that plural models should satisfy generalized supergravity equations. We have found examples of models satisfying ``true'' generalized supergravity equations where no trivialization to usual supergravity equations s is possible. On the other hand, we show that there are also models corresponding to algebras with $f_b{}^{ba}neq 0$, $Z^a=0$ where the Killing vector appearing in generalized supergravity equations either vanishes or can be removed by suitable gauge transformation. Such models then satisfy usual supergravity equations, i.e. vanishing beta-function equations.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10303 - Particles and field physics

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)