Single-field slow-roll inflation with a non-vacuum initial state has an enhanced bispectrum in the local limit .
We numerically calculate the local-type f _ { \text { NL } } signal in the CMB that would be measured for such models ( including the full transfer function and 2D projection ) .
The nature of the result depends on several parameters , including the occupation number N _ { k } , the phase angle \theta _ { k } between the Bogoliubov parameters , and the slow-roll parameter \epsilon .
In the most conservative case , where one takes \theta _ { k } \approx \eta _ { 0 } k ( justified by physical reasons discussed within ) and \epsilon \lesssim 0.01 , we find that 0 < f _ { \text { NL } } < 1.52 ( \epsilon / 0.01 ) , which is likely too small to be detected in the CMB .
However , if one is willing to allow a constant value for the phase angle \theta _ { k } and N _ { k } = \mathcal { O } ( 1 ) , f _ { \text { NL } } can be much larger and/or negative ( depending on the choice of \theta _ { k } ) , e.g . f _ { \text { NL } } \approx 28 ( \epsilon / 0.01 ) or -6.4 ( \epsilon / 0.01 ) ; depending on \epsilon , these scenarios could be detected by Planck or a future satellite .
While we show that these results are not actually a violation of the single-field consistency relation , they do produce a value for f _ { \text { NL } } that is considerably larger than that usually predicted from single-field inflation .