On The Correspondence Between Noncommuative Field Theory And Gravity

Dec, 2006
16 pages
Published in:
  • Mod.Phys.Lett.A 22 (2007) 1119-1132
e-Print:
Report number:
  • HU-EP-06-43

Citations per year

2006201020142018202202468
Abstract:
In this brief review, I summarize the new development on the correspondence between noncommuative (NC) field theory and gravity, shortly referred to as the NCFT/Gravity correspondence. I elucidate why a gauge theory in NC spacetime should be a theory of gravity. A basic reason for the NCFT/Gravity correspondence is that the Λ\Lambda-symmetry (or B-field transformations) in NC spacetime can be considered as a par with diffeomorphisms, which results from the Darboux theorem. This fact leads to a striking picture about gravity: Gravity can emerge from a gauge theory in NC spacetime. Gravity is then a collective phenomenon emerging from gauge fields living in fuzzy spacetime.
  • 11.40.Gh
  • 04.50.+h
  • 11.10.Nx
  • noncommutative field theory
  • emergent gravity
  • twistor space
  • gravitation
  • gauge field theory: noncommutative
  • electromagnetic field: background
  • quantization: deformation