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2015

Weak Gravity Conjecture in AdS/CFT

Nakayama, Yu, Nomura, Yasunori

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We study implications of the weak gravity conjecture in the AdS/CFT correspondence.

Unlike in Minkowski spacetime, AdS spacetime has a physical length scale, so that the conjecture must be generalized with an additional parameter.
We discuss possible generalizations and translate them into the language of dual CFTs, which take the form of inequalities involving the dimension and charge of an operator as well as the current and energy-momentum tensor central charges.
We then test these inequalities against various CFTs to see if they are universally obeyed by all the CFTs.

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