Domenico Orlando
Domenico Orlando
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large-charge
Exact evaluation of large-charge correlation functions in non-relativistic conformal field theory
The large-charge master field which generates all n-point correlation functions with an insertion of large charge Q in non-relativistic …
Silas Beane
,
Domenico Orlando
,
Susanne Reffert
Preprint
Cite
Large charge at Large N (EFT in EFT)
The large charge approach allows to describe special sectors of strongly-coupled systems. When another controlling parameter is present, it is still useful because it allows to unveil interesting mathematical structures and access previously unexplored parts of the spectrum. In this talk I will concentrate on the O(N) vector model in the large-N limit, give a geometrical interpretation of the asymptotic expansion of the dimension of the lowest operator of fixed charge, and use resurgence to resum this expansion. The result suggests an unexpected interplay between conformal symmetry and resurgence and will lead to an intuitive interpretation for the impressive agreement of the large-charge predictions with lattice data also in the O(2) model case. Based on 1610.04495, 2008.03308, 2102.12488.
15 Mar 2024 10:30
IMPU (Tokyo)
Slides
Large charge at Large N (Taipei)
The large charge approach allows to describe special sectors of strongly-coupled systems. When another controlling parameter is present, it is still useful because it allows to unveil interesting mathematical structures and access previously unexplored parts of the spectrum. In this talk I will concentrate on the O(N) vector model in the large-N limit, give a geometrical interpretation of the asymptotic expansion of the dimension of the lowest operator of fixed charge, and use resurgence to resum this expansion. The result suggests an unexpected interplay between conformal symmetry and resurgence and will lead to an intuitive interpretation for the impressive agreement of the large-charge predictions with lattice data also in the O(2) model case. Based on 1610.04495, 2008.03308, 2102.12488.
1 Mar 2024 15:30
Taipei
Slides
The unitary Fermi gas at large charge and large N
We study the unitary Fermi gas in a harmonic trapping potential starting from a microscopic theory in the limit of large charge and …
Simeon Hellerman
,
Daniil Krichevskiy
,
Domenico Orlando
,
Vito Pellizzani
,
Susanne Reffert
,
Ian Swanson
Preprint
Cite
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
Cite
DOI
Fermionic CFTs at large charge and large N (Porto)
The large charge approach allows to describe special sectors of strongly-coupled systems. When another controlling parameter is present, it is still useful because it allows to unveil interesting mathematical structures and access previously unexplored parts of the spectrum. In this talk I will discuss the case of fermionic CFTs in three dimensions. Depending on the model and the nature of the fixed charge, we find two types of descriptions: in terms of a superfluid or a Fermi sphere. We explicitly compute the conformal dimensions of the lowest operator of fixed charge and in the superfluid case verify the EFT predictions for the phonon spectrum
22 Feb 2023 15:00
Porto
Slides
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
The Resurgence of the Large Charge Expansion (Cambridge)
The large charge approach allows to describe special sectors of strongly-coupled systems. When another controlling parameter is present, it is still useful because it allows to unveil interesting mathematical structures and access previously unexplored parts of the spectrum. In this talk I will concentrate on the O(N) vector model in the large-N limit, give a geometrical interpretation of the asymptotic expansion of the dimension of the lowest operator of fixed charge, and use resurgence to resum this expansion. The result suggests a still unexplored interplay between conformal symmetry and resurgence and will lead to an intuitive interpretation for the impressive agreement of the large-charge predictions with lattice data also in the O(2) model case.
12 Dec 2022 16:00
Cambridge
Slides
Video
Fermionic CFTs at large charge and large N
We study the large-charge sector of large-N fermionic CFTs in three dimensions.
Nicola Dondi
,
Ioannis Kalogerakis
,
Simeon Hellerman
,
Rafael Moser
,
Domenico Orlando
,
Susanne Reffert
Preprint
Cite
DOI
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