A bstract We compute the leading order non-Gaussianity, i.e., bispectrum, of tensor perturbation in general ? -vacuum on de Sitter space relativity. In addition to well-known Bunch-Davies (BD) vacuum, there exits an infinite number invariant vacua represented by a real parameter and phase ? , with = 0 being BD vacuum. They are called -vacua. standard slow-roll inflation, as invariance no longer...