• Corpus ID: 245117497

The Geroch Group in One Dimension

  title={The Geroch Group in One Dimension},
  author={Robert F. Penna},
  • R. Penna
  • Published 10 December 2021
  • Mathematics
We study the dimensional reduction of general relativity to a single null spacetime dimension. The dimensionally reduced theory is a theory of six scalar fields governed by three constraints. It has an infinite dimensional symmetry which is an enhanced version of the Geroch group. To get a local action of the symmetry on solution space, we need to introduce an infinite tower of new fields and new constraints. The symmetry appears to be a hyperbolic Kac-Moody algebra, with the caveat that some… 

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