Domenico Orlando
Domenico Orlando
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Goldstone Bosons and Convexity
We study the spectrum of scalar charged operators in CFTs with a U(1) global symmetry. The charged operators are dual, by the …
Domenico Orlando
,
Eran Palti
Preprint
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DOI
Goldstone Bosons, Semiclassics and Convexity (IPMU)
The Charge Convexity Conjecture (i.e. the conjecture that the spectrum of the lowest charged operator in a CFT is a convex function of Q) implies, through holographic duality, the Positive Binding Conjecture: that gravitational theories in AdS with a U(1) gauge symmetry must contain a charged particle which has positive self-binding energy. Here we study the spectrum of scalar charged operators in CFTs with a U(1) global symmetry. We show that this spectrum is necessarily convex if it is well approximated by a field which realises the global symmetry non-linearly.
18 Jan 2023 13:30
IPMU (University of Tokyo)
Goldstone Bosons, Semiclassics and Convexity (Kyoto)
The Charge Convexity Conjecture (i.e. the conjecture that the spectrum of the lowest charged operator in a CFT is a convex function of Q) implies, through holographic duality, the Positive Binding Conjecture: that gravitational theories in AdS with a U(1) gauge symmetry must contain a charged particle which has positive self-binding energy. Here we study the spectrum of scalar charged operators in CFTs with a U(1) global symmetry. We show that this spectrum is necessarily convex if it is well approximated by a field which realises the global symmetry non-linearly.
12 Jan 2023 15:00
Kyoto
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