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Jacobi-Lie T-plurality
by Jose J. Fernandez-Melgarejo, Yuho Sakatani
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Submission summary
Authors (as Contributors): | Jose J. Fernandez-Melgarejo |
Submission information | |
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Preprint link: | scipost_202104_00025v2 |
Date accepted: | 2021-08-16 |
Date submitted: | 2021-07-21 09:16 |
Submitted by: | Fernandez-Melgarejo, Jose J. |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
Specialties: |
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Approach: | Theoretical |
Abstract
We propose a Leibniz algebra, to be called DD$^+$, which is a generalization of the Drinfel'd double. We find that there is a one-to-one correspondence between a DD$^+$ and a Jacobi--Lie bialgebra, extending the known correspondence between a Lie bialgebra and a Drinfel'd double. We then construct generalized frame fields $E_A{}^M\in\text{O}(D,D)\times\mathbb{R}^+$ satisfying the algebra ${\cal L}_{E_A}E_B = - X_{AB}{}^C\,E_C$\,, where $X_{AB}{}^C$ are the structure constants of the DD$^+$ and ${\cal L}$ is the generalized Lie derivative in double field theory. Using the generalized frame fields, we propose the Jacobi--Lie $T$-plurality and show that it is a symmetry of double field theory. We present several examples of the Jacobi--Lie $T$-plurality with or without Ramond--Ramond fields and the spectator fields.
Published as SciPost Phys. 11, 038 (2021)
Submission & Refereeing History
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Reports on this Submission
Anonymous Report 2 on 2021-8-7 (Invited Report)
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The authors have made the changes I requested in my previous report and I am happy to now recommend publication.
Anonymous Report 1 on 2021-7-21 (Invited Report)
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I am satisfied with the revised version of the paper and I recommend it for publication