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Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture

September 27, 2021 @ 1:00 pm - 2:00 pm

Abstract: In this talk I will introduce a particular formulation of the Weak Gravity Conjecture in AdS space in terms of the self-binding energy of a particle. The holographic CFT dual of this formulation corresponds to a certain convex-like structure for operators charged under continuous global symmetries. Motivated by this, we propose a conjecture that this convexity is a general property of all CFTs, not just those with weakly-curved gravitational duals. It is possible to test this in simple CFTs, the conjecture passes all the tests performed so far.


September 27, 2021
1:00 pm - 2:00 pm
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