The Spectrum of  D  = 11 Supergravity via Harmonic Expansions on  S  4  X  S  7 | Zendy

Sezgin E. | Zendy

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The Spectrum of D = 11 Supergravity via Harmonic Expansions on S 4 X S 7

Author(s) -

Sezgin E.

Publication year - 1986

Publication title -

fortschritte der physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.469

H-Index - 71

eISSN - 1521-3978

pISSN - 0015-8208

DOI - 10.1002/prop.19860340403

Subject(s) - supermultiplet , supergravity , physics , massless particle , mathematical physics , spectrum (functional analysis) , harmonic , order (exchange) , eigenvalues and eigenvectors , integer (computer science) , supersymmetry , quantum mechanics , finance , computer science , economics , programming language

We derive the complete particle spectrum of the d = 11 supergravity compactified on AdS X S 7 , by analytically continuing AdS to S 4 , and using the Salam‐Strathdee method of harmonic expansion on S 4 X S 7 . The spectrum is arranged into supermultiplets labelled by an integer l = 0, 1, 2,. The massless supermultiplet corresponds to l = 0. For the l 'th supermultiplet we find a relation, involving the eigenvalues of the second order Casimir operators of SO (3, 2) and SO (8), given by 2 C 2 [ SO (3, 2)] + C 2 [ SO (8)] = 3/2( l + 2) ( l + 4).

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