Gravity, Dual Gravity and A1+++

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We construct the non-linear realisation of the semi-direct product of the very extended algebra A1+++ and its vector representation. This theory has an infinite number of fields that depend on a spacetime with an infinite number of coordinates. Discarding all except the lowest level field and coordinates the dynamics is just Einstein's equation for the graviton field. We show that the gravity field is related to the dual graviton field by a duality relation and we also derive the equation of motion for the dual gravity field.
Original languageEnglish
Article number2050068
Pages (from-to)2050068
JournalInternational Journal of Modern Physics A
Issue number14
Early online date2 Jun 2020
Publication statusE-pub ahead of print - 2 Jun 2020


  • Supergravity
  • branes
  • duality symmetries
  • strings


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