Kac-Moody symmetries of Kaluza-Klein theories

Journal Article · Mon Jan 02 04:00:00 EST 1984 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.52.14· OSTI ID:5120337

Dolan, L; Duff, M J

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 M/sup 4/ x S/sup 1/. The symmetries are described by (1) a Kac-Moody extension of the Poincare 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 Poincare x U(1). The Goldstone bosons provide masses for the spin-2 tower. Higher dimensions and supergravity are discussed.

• Research Organization: The Rockefeller University, New York, New York 10021
• DOE Contract Number: AC02-81ER40033
• OSTI ID: 5120337
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 52:1; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GOLDSTONE BOSONS
GRAVITATION
KALUZA-KLEIN THEORY
LAGRANGIAN FUNCTION
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
POSTULATED PARTICLES
SO GROUPS
SUPERGRAVITY
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
VACUUM STATES