Kac-Moody Symmetries of Kaluza-Klein Theories
- 2 January 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 52 (1), 14-17
- https://doi.org/10.1103/physrevlett.52.14
Abstract
The authors identify symmetries of the four-dimensional Lagrangian, including the massive states, obtained via Kaluza-Klein compactification from gravity in five dimensions and ground state . The symmetries are described by (1) a Kac-Moody extension of the Poincaré algebra, (2) a Virasoro algebra of internal symmetries including the Salam-Strathdee SO(1,2), and (3) a mixing of (1) and (2). All symmetries are spontaneously broken save for Poincaré ⊗ U(1). The Goldstone bosons provide masses for the spin-2 tower. Higher dimensions and supergravity are discussed.
Keywords
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