  We propose a novel inflationary scenario in string theory in which the
inflaton field is a 'Wilson line' degree of freedom in the worldvolume of a
probe Dp-brane, in a warped flux compactification. Kinetic terms for Wilson
line fields on the world volume of a D-brane take a nonstandard
Dirac-Born-Infeld (DBI) form. Thus, we work in the framework of DBI inflation.
This extends the original slow roll Wilson line inflationary scenario, where
only the quadratic piece was considered. Warped DBI Wilson line inflation
offers an attractive alternative to ordinary (position field) DBI inflation,
inasmuch as observational and theoretical constraints get considerably relaxed.
Besides the standard large non-Gaussianities in DBI scenarios, it is also
possible to achieve an observable amount of gravitational waves.
