Centerless BMS charge algebra
Paper Title:
Centerless-BMS charge algebra
Published on:
2 May 2024
Primary Category:
High Energy Physics - Theory
Paper Authors:
Antoine Rignon-Bret,
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Key Details
BMS charges from Wald-Zoupas prescription realize algebra without anomalies or central extensions
Refined covariance prescription gives improved supermomentum aspect properties
Extended BMS allows Wald-Zoupas potential given modified symplectic structure
Resulting extended BMS Noether current algebra is centerless
Extended BMS charge algebra has residual nonradiative, time-independent 2-cocycle
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Centerless BMS charge algebra
This paper shows that implementing the Wald-Zoupas prescription results in BMS charges that realize the symmetry algebra without anomalies or central extensions at any cut of future null infinity. The authors refine the covariance prescription to improve properties of charge aspects, and introduce an improved, more covariant aspect for Geroch’s supermomentum. For extended BMS symmetries allowing singular vectors, a valid Wald-Zoupas potential exists given a modified symplectic structure with a corner term. The resulting extended BMS Noether current algebra between arbitrary cuts is centerless, but charges have a residual nonradiative, time-independent 2-cocycle.
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