Recent & Upcoming Talks

2024

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 (EFT in EFT)
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
Large charge at Large N (Taipei)

2023

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
Fermionic CFTs at large charge and large N (Porto)
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 (IPMU)
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
Goldstone Bosons, Semiclassics and Convexity (Kyoto)

2022

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
The Resurgence of the Large Charge Expansion (Cambridge)
Large Charge at large N (Lyon)
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
25 May 2022 14:00 Lyon
Slides Video
Large Charge at large N (Lyon)
N=2 SUSY at large R-charge (Paris)
I will discuss the behavior of N=2 supersymmetric theories in the large R-charge limit. Writing an effective action on moduli space, we …
20 Apr 2022 09:00 Paris
Slides
Vector models at large charge (and some supersymmetry) (Padova)
I will discuss the IR fixed point of the O(N) vector model in 3 dimensions (Wilson-Fisher point) in the framework of the large charge …
6 Apr 2022 14:00 Padova
Slides
Vector models at large charge (and some supersymmetry) (Gijón)
I will discuss the IR fixed point of the O(N) vector model in 3 dimensions (Wilson-Fisher point) in the framework of the large charge …
25 Mar 2022 15:00 Gijón
Slides