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Superboost transitions, refraction memory and super-Lorentz charge algebra

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arxiv 1810.00377 v3 pith:CVWCI37G submitted 2018-09-30 hep-th gr-qc

classification hep-thgr-qc
keywords memorystructuresuper-lorentzarbitrarychargediffeffectleading
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We derive a closed-form expression of the orbit of Minkowski spacetime under arbitrary Diff$(S^2)$ super-Lorentz transformations and supertranslations. Such vacua are labelled by the superboost, superrotation and supertranslation fields. Impulsive transitions among vacua are related to the refraction memory effect and the displacement memory effect. A phase space is defined whose asymptotic symmetry group consists of arbitrary Diff$(S^2)$ super-Lorentz transformations and supertranslations. It requires a renormalization of the symplectic structure. We show that our final surface charge expressions are consistent with the leading and subleading soft graviton theorems. We contrast the leading BMS triangle structure to the mixed overleading/subleading BMS square structure.

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Cited by 10 Pith papers

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