While recent decades have produced much psychological research on creative thinking, we remain largely in the dark regarding its neurological underpinnings.
In an attempt to get scientists, artists, and others with a stake in creativity on the same page, the NEA conducted a research workshop in conjunction with the Santa Fe Institute in July of 2014.
http://www.psmag.com/health-and-behavior/creativity-and-the-brain-what-we-still-dont-know