• Corpus ID: 244954394

Asymmetric Galilean conformal algebras

@inproceedings{Ragoucy2021AsymmetricGC,
  title={Asymmetric Galilean conformal algebras},
  author={Eric Ragoucy and J{\o}rgen Rasmussen and Christopher Raymond},
  year={2021}
}
The usual Galilean contraction procedure for generating new conformal symmetry algebras takes as input a number of symmetry algebras which are equivalent up to central charge. We demonstrate that the equivalence condition can be relaxed by inhomogeneously contracting the chiral algebras and present general results for the ensuing asymmetric Galilean algebras. Several examples relevant to conformal field theory are discussed in detail, including superconformal algebras and W-algebras. We also… 

References

SHOWING 1-10 OF 67 REFERENCES
Higher-order Galilean contractions
Supersymmetric Extension of Galilean Conformal Algebras
The Galilean conformal algebra has recently been realized in the study of the nonrelativistic limit of the AdS/CFT conjecture. This was obtained by a systematic parametric group contraction of the
Galilean contractions of W-algebras
Affine extension of Galilean conformal algebra in 2+1 dimensions
We show that a class of nonrelativistic algebras including noncentrally extended Schrodinger algebra and Galilean conformal algebra (GCA) has an affine extension in 2+1 hitherto unknown. This
On bosonic and supersymmetric current algebras for non-semi-simple groups
Galilean Conformal Algebras and AdS/CFT
Non-relativistic versions of the AdS/CFT conjecture have recently been investigated in some detail. These have primarily been in the context of the Schrodinger symmetry group. Here we initiate a
Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
It is shown that the global charges of a gauge theory may yield a nontrivial central extension of the asymptotic symmetry algebra already at the classical level. This is done by studying three
Takiff superalgebras and conformal field theory
A class of non-semisimple extensions of Lie superalgebras is studied. They are obtained by adjoining to the superalgebra its adjoint representation as an Abelian ideal. When the superalgebra is of
Three-dimensional Poincaré supergravity and N-extended supersymmetric BMS3 algebra
Inhomogeneous tensionless superstrings
A bstractWe construct a novel tensionless limit of Superstring theory that realises the Inhomogeneous Super Galilean Conformal Algebra (SGCAI ) as the residual symmetry in the analogue of the
...
1
2
3
4
5
...