The HINT project’s ultimate goal is to understand the boundary dual of noncommutative (NC) spacetime. Noncommutative geometry offers a promising framework for incorporating quantum gravity effects by assuming that spacetime coordinates, which mutually commute for ordinary spacetime, fail to do so in the NC case. Another leading approach to exploring quantum gravity is holography, particularly the AdS/CFT correspondence, which posits a duality between quantum gravity on asymptotically AdS spacetime and the conformal field theory (CFT) living on its boundary. However, much of our understanding is limited to cases where the gravity theory is classical. This raises an obvious question: what kind of boundary theory corresponds to an NC bulk spacetime? Does spacetime noncommutativity alter the boundary theory in some specific ways? Can we use NC gravity to probe the CFT’s excited states?
Stay tuned for our findings on these questions!