Remarks on M-theory coupling constants and M-brane tension quantizations

Abstract

In the absence of a complete M-theory, we gather certain quantum aspects of this theory, namely, M-2 and M-5 brane duality and their tension quantization rule $2{\kappa }^2{T}_2{T}_5=2\pi n$, the M-2 brane tension quantization $T_2=((2\pi {)}^2/2{\kappa }^{2}m{)}^{1/3}$, supersymmetry, perturbative gauge and gravitational anomaly cancellations, and the half-integral quantization of [$G^W/2\pi$], and study the consistency among these quantum effects. We find: (1) The complete determination of Hourava-Witten's $\eta ={\lambda }^6/{\kappa }^4$ for M-theory on $R^{10}\times S^1/Z_2$ requires not only the cancellation of M-theory gauge anomaly but also that of the gravitational anomaly, the quantization of M-2 brane tension, and the recently recognized half-integral quantization of $[G^W/2\pi ]$. (2) A well-defined quantum M-theory necessarily requires the presence of both M-2 and M-5 branes and allows only $n=1$ and $m=1$ for the respectively quantized M-2 and M-5 brane tensions. Implications of the above along with other related issues are discussed.

21 pages, Latex

References in corpus (2)

• Brane Tensions and Coupling Constants from within M-Theory
• Open supermembranes in eleven dimensions

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