Study of the LAMBDA-BMS symmetry deformation

This is how the Authors explain their work: the BMS (Bondi, van der Burg, Metzner and Sachs 1962) symmetry describes the properties of space-time far from sources where the measured gravitational field is weak. They were originally introduced to describe gravitational waves coming from distant astrophysical objects. From the mathematical point of view BMS symmetries can be represented by Lie algebras like Witt’s algebra or the Virasoro algebra known from string theory, which are infinite-dimensional extensions of the finite-dimensional Poincare algebra – the symmetry of flat space-time. In recent years the interest in these symmetries has significantly increased in the context of relations between quantum gravity and black hole radiation. In our work we have studied and partially classified quantum deformations of a BMS symmetry in three-dimensional space-time with the cosmological constant (dark matter). We also pointed to the possible observational consequences of such deformations.

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