A universal inequality for CFT and quantum gravity

          @misc{ scivideos_PIRSA:09070015,
            doi = {10.48660/09070015},
            url = {https://pirsa.org/09070015},
            author = {Hellerman, Simeon},
            keywords = {Cosmology},
            language = {en},
            title = {A universal inequality for CFT and quantum gravity},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2009},
            month = {jul},
            note = {PIRSA:09070015 see, \url{https://scivideos.org/index.php/pirsa/09070015}}
          }
          

Abstract

The holographic duality gives a one-to-one mapping between consistent theories of gravity with AdS_d ground state, and conformal field theories in d-1 dimensions. Since the latter are unambiguously well-defined, we can use their defining properties to prove rigorous, model-independent theorems covering all quantum gravity theories with negative cosmological constant. Taking d=3, I will prove in this talk that every two-dimensional CFT contains a primary perator of weight less than C /12 + 0.473695, where C is the sum of right- and left-moving central charges. Using the AdS/CFT dictionary, this establishes that every theory of quantum gravity in asymptotically AdS space contains some state of mass less than 1 / (4 G), above and beyond the universal sector of boundary metric excitations.