Plane-parallel waves as Jacobi-Lie models
The result's identifiers
Result code in 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>
Alternative codes found
RIV/68407700:21340/25:00381116
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Plane-parallel waves as Jacobi-Lie models
Original language description
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.
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
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
Classical and Quantum Gravity
ISSN
0264-9381
e-ISSN
1361-6382
Volume of the periodical
42
Issue of the periodical within the volume
5
Country of publishing house
GB - UNITED KINGDOM
Number of pages
30
Pages from-to
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UT code for WoS article
001418095600001
EID of the result in the Scopus database
2-s2.0-85218168154