Cosmological and coupling constants in Kaluza-Klein supergravity

Details Cosmological and coupling constants in Kaluza-Klein supergravity Cosmological and coupling constants in Kaluza-Klein supergravity

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phlb..130..254d&link_type=abstract

Physics Letters B, Volume 130, Issue 5, p. 254-256.

Physics

22

Scientific paper

Weinberg's formula, relating the Yang-Mills coupling constant, g, to the size of the extra dimensions in a Kaluza-Klein theory, requires modification when gravity is coupled to antisymmetric tensor gauge fields. In particular, in the spontaneous compactification of d = 11 supergravity on the round S7 of radius m-, the Weinberg formula g2 = 64πGm2 is changed to g2 = 16πGm2 owing to the AMNP field. Combined with the cosmological constant relation Λ = 12m2 one finds 4πGΛ = -3g2, which is precisely the relation in the gauged N = 8 supergravity of de Wit and Nicolai.
Present address: Lauritsen Laboratory, Californian Institute of Technology, Pasadena, CA 91125, USA.

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