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It is shown that multi M5-brane inflation in heterotic M-theory gives rise toa detectable gravitational wave power spectrum with tensor fraction $r$typically larger than the projected experimental sensitivity, $r_{exp} = 0.01$.A measurable gravitational wave power spectrum entails a large inflationaryenergy scale and a super-Planckian inflaton variation. They present seriousproblems for particle theory model building resp. a reliable effective fieldtheory description. These problems are eased or even absent in multi-braneinflation models and multi M5-brane inflation, in particular.

Large Gravitational Waves and Lyth Bound in Multi Brane Inflation