|Speaker:||Simeon Hellerman (IPMU)|
|Title:||The Strong Gravity Theorem|
|Date (JST):||Thu, Mar 26, 2009, 15:30 - 17:00|
|Place:||Seminar Room at IPMU Prefab. B|
In this talk I will derive of a universal upper bound for the weight of the lowest nontrivial primary operator for a completely general CFT in two dimensions. We make no assumption of holomorphic factorization, supersymmetry, or any other special property.
Translated into gravitational language via the AdS/CFT dictionary, the bound proves that any theory of 3D gravity with an AdS ground state, must contain a massive state in its spectrum with energy no higher than 1 / (4 G) + o(1/L), where G is Newton's constant and L is the AdS radius. This provides the first rigorous demonstration of a universal energy scale beyond which a theory of "pure" quantum gravity can never conistently be extended.