The bosonic mass formula for Freund-Rubin solutions of d=11 supergravity on general coset manifolds

L. Castellani; R. D'Auria; P. Fre; K. Pilch; P. Van Nieuwenhuizen

doi:10.1088/0264-9381/1/4/006

The bosonic mass formula for Freund-Rubin solutions of d=11 supergravity on general coset manifolds

L. Castellani
, R. D'Auria
, P. Fre
, K. Pilch
, P. Van Nieuwenhuizen

Research output: Contribution to journal › Article › peer-review

Abstract

The formalism of spherical harmonics for coset spaces is used to obtain the complete mass spectrum of the bosonic excitations around a class of vacuum solutions of d=11 supergravity in which the internal space is a coset manifold and the three-index photon is given by the Freund-Rubin ansatz (1978). The mass formula is given in terms of the eigenvalues of the invariant operators on the internal space.

Original language	English
Article number	006
Pages (from-to)	339-348
Number of pages	10
Journal	Classical and Quantum Gravity
Volume	1
Issue number	4
DOIs	https://doi.org/10.1088/0264-9381/1/4/006
Publication status	Published - 1984
Externally published	Yes

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10.1088/0264-9381/1/4/006

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title = "The bosonic mass formula for Freund-Rubin solutions of d=11 supergravity on general coset manifolds",

abstract = "The formalism of spherical harmonics for coset spaces is used to obtain the complete mass spectrum of the bosonic excitations around a class of vacuum solutions of d=11 supergravity in which the internal space is a coset manifold and the three-index photon is given by the Freund-Rubin ansatz (1978). The mass formula is given in terms of the eigenvalues of the invariant operators on the internal space.",

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AU - Van Nieuwenhuizen, P.

PY - 1984

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AB - The formalism of spherical harmonics for coset spaces is used to obtain the complete mass spectrum of the bosonic excitations around a class of vacuum solutions of d=11 supergravity in which the internal space is a coset manifold and the three-index photon is given by the Freund-Rubin ansatz (1978). The mass formula is given in terms of the eigenvalues of the invariant operators on the internal space.

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The bosonic mass formula for Freund-Rubin solutions of d=11 supergravity on general coset manifolds

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