Abstract
We present a higher-dimensional gravity model realizing the recently discovered new gauge symmetries for a collection of massless spin-two fields. The commutative associative algebra characterizing these theories is obtained in a Kac-Moody-like way by harmonic analysis on internal space. The dynamics is governed by a pure dimensionally continued Euler form. More general dimensionally reduced gravity theories can be interpreted as spontaneous symmetry-breaking of an infinite-dimensional gauge symmetry.
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