Jacobi-Lie T-plurality

@article{FernndezMelgarejo2021JacobiLieT,
  title={Jacobi-Lie T-plurality},
  author={Jos{\'e} J. Fern{\'a}ndez-Melgarejo and Yuho Sakatani},
  journal={SciPost Physics},
  year={2021}
}
<jats:p>We propose a Leibniz algebra, to be called DD<jats:inline-formula><jats:alternatives><jats:tex-math>^+</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi /><mml:mo>+</mml:mo></mml:msup></mml:math></jats:alternatives></jats:inline-formula>, which is a generalization of the Drinfel’d double. We find that there is a one-to-one correspondence between a DD<jats:inline-formula><jats:alternatives><jats:tex-math>^+</jats:tex-math><mml:math… 

Tables from this paper

Half-maximal Extended Drinfel'd Algebras
Extended Drinfel’d algebra (ExDA) is the underlying symmetry of non-Abelian duality in the low-energy effective theory of string theory. Non-Abelian U -dualities in maximal supergravities have been

References

SHOWING 1-10 OF 52 REFERENCES
Type II DFT solutions from Poisson–Lie $T$-duality/plurality
  • Y. Sakatani
  • Mathematics
    Progress of Theoretical and Experimental Physics
  • 2019
String theory has $T$-duality symmetry when the target space has Abelian isometries. A generalization of $T$-duality, where the isometry group is non-Abelian, is known as non-Abelian $T$-duality,
Extended Drinfel’d algebras and non-Abelian duality
  • Y. Sakatani
  • Mathematics
    Progress of Theoretical and Experimental Physics
  • 2020
The Drinfel’d algebra provides a method to construct generalized parallelizable spaces and this allows us to study an extended $T$-duality, known as the Poisson–Lie $T$-duality. Recently, in order
U -duality extension of Drinfel’d double
  • Y. Sakatani
  • Mathematics
    Progress of Theoretical and Experimental Physics
  • 2020
A family of algebras $\mathcal{E}_n$ that extends the Lie algebra of the Drinfel’d double is proposed. This allows us to systematically construct the generalized frame fields $E_A{}^I$ which
Non-Abelian U duality at work
Non-abelian U-duality originates from the construction of exceptional Drinfel’d algebra (EDA), which extends the constriction of the classical Drinfel’d double. This symmetry is a natural extension
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Poisson-Lie U-duality in exceptional field theory
Poisson-Lie duality provides an algebraic extension of conventional Abelian and non-Abelian target space dualities of string theory and has seen recent applications in constructing quantum group
The general gaugings of maximal d = 9 supergravity
We use the embedding tensor method to construct the most general maxi-malgauged/massive supergravity in d = 9 dimensions and to determine its extended field content. Only the 8 independent
Poisson-Lie T plurality
We extend the path-integral formalism for Poisson-Lie T-duality to include the case of Drinfeld doubles which can be decomposed into bi-algebras in more than one way. We give the correct shift of the
Dual Non-Abelian Duality and the Drinfeld Double
Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models
Starting from the classification of 6-dimensional Drinfeld doubles and their decomposition into Manin triples we construct 3-dimensional Poisson-Lie T-dual or more precisely T-plural sigma models. Of
...
1
2
3
4
5
...