Brane Tensions and Coupling Constants from within M-Theory

Details Brane Tensions and Coupling Constants from within M-Theory Brane Tensions and Coupling Constants from within M-Theory

1997-08-06

arxiv.org/abs/hep-th/9708031v2

Phys.Lett. B421 (1998) 119-124

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, Latex2e, amsmath, amsfonts, typo in abstract corrected

Scientific paper

10.1016/S0370-2693(97)01575-X

Reviewing the cancellation of local anomalies of M-theory on R^10 x S^1/Z_2 the Yang-Mills coupling constant on the boundaries is rederived. The result is lambda^2 = 2^(1/3) (2 pi) (4 pi kappa^2)^(2/3) corresponding to eta = lambda^6/kappa^4 = 256 pi^5 in the `upstairs' units used by Horava and Witten and differs from their calculation. It is shown that these values are compatible with the standard membrane and fivebrane tensions derived from the M-theory bulk action. In view of these results it is argued that the natural units for M-theory on R^10 x S^1/Z_2 are the `downstairs' units where the brane tensions take their standard form and the Yang-Mills coupling constant is lambda^2 = 4 pi (4 pi kappa^2)^(2/3).

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