Large charge aux Diablerets

Contribution List

32. Demystifying the State-Operator correspondence in NRCFT

Sridip Pal (Institute for Advanced Study, Princeton)

04/07/2022, 09:30

The usual state-operator correspondence in Non Relativistic CFT maps the positively charged operators to the states in a harmonic trap. We point out that there exists a notion of state-operator correspondence which levarages the SL(2,R) subgroup of Schrodinger group and can be used to extend the state-operator map to the sector with zero charge. We can rederive the unitarity bounds using this...

26. Large-order behaviours in CFTs and Resurgence

Nicola Andrea Dondi (University of Bern)

04/07/2022, 11:00

The conformal data of CFTs involving heavy charged operators can be organised as a series in inverse powers of the global charges involved. When extrapolating these expansions to light low-charge sectors, it is relevant to ask whether these series are divergent and Borel-summable. In this talk, I will show that, generically, one would expect large-charge expansions to be divergent faster than...

29. Reviewing spinning correlators in CFTs in a sector of large global charge

Ioannis Kalogerakis (University of Bern)

04/07/2022, 11:30

In this talk I systematically study spinning correlators of a
generic non-parity violating CFT, with an O(2) internal symmetry at
sectors of large charge. At the beginning I will show the equivalence
between canonical and path integral quantization to the leading order
result, and subsequently I will use the former to compute three- and
four-point functions with conserved current...

22. Large charge in perturbation theory: Past and future

Oleg Antipin (Institut Rudjer Boskovic)

04/07/2022, 14:00

I will review the applications of the fixed-charge semiclassical method to various models
concentrating mostly on the perturbative aspects of the calculation.
I will elucidate the identification of the lowest-lying operator, analytic structure of the large charge expansion and application to various proposed dualities at the critical point. I will conclude with several open problems.

40. The analytic structure of the large charge expansion

Matías Torres Sandoval (Università Napoli Federico ii)

04/07/2022, 15:30

In this talk, I will focus on two different methods that allow us to go beyond standard perturbation theory: the large charge expansion and resurgence. In particular, I will talk about the scaling dimension associated to charged operators in the O(N) model near d=4 and d=3 and monopoles operators in QED3. I will present their analytic structure for large and small values of the charge and...

30. Large Charge 't Hooft Limit

Shota Komatsu (CERN)

05/07/2022, 09:30

N=4 super Yang-Mills (SYM) in four dimensions is integrable in the planar limit, allowing exact computations of a variety of observables. In this talk, I will provide evidence that the large charge sector of N=4 SYM with the SU(2) gauge group provides another interesting solvable corner, which is far from the planar limit but nevertheless exhibits similar structures. Specifically, we consider...

24. The large-charge expansion for multiple charges

Jahmall Bersini (Rudjer Boskovic Institute)

05/07/2022, 11:00

I will discuss the large-charge expansion in cases where more than one charge is taken to be large.
As an illustration, I will consider the first known example of a Standard Model-like theory featuring asymptotic safety in four dimensions. In particular, I will present the contribution to the scaling dimension of charged operators stemming from quartic, Yukawa, and gauge interactions, and...

35. Nonrelativistic CFTs at large charge

Vito Pellizzani (University of Bern)

05/07/2022, 11:30

I will discuss the large-charge expansion of the conformal dimension Δ(Q) of the lowest operator of charge Q in nonrelativistic CFTs using the state-operator correspondence. The latter requires coupling the theory to an external harmonic trap that confines the particles to a spherical cloud, at the edge of which the effective theory breaks down and leads to divergences. I will show how to...

34. Gauge invariant interactions and Large Charge

Pantelis Panopoulos (Rudjer Boskovic Institute, Croatia)

05/07/2022, 14:30

Using large charge methods we evaluate the contributions from gauge invariant interactions to the scalar field anomalous dimensions in various models between 2 and 4 dimensions. Examples contain scalar QED, Nambu-Jona-Lasinio and Gross-Neveu-Yukawa models. In some of these, superconformal field theories emerge at the fixed points, exhibiting a rich structure and relation between actions...

33. Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture

Eran Palti (Ben-Gurion University)

06/07/2022, 09:30

38. The Effective theory of Quantum Black holes

Francesco Sannino (Federico II, CP3-Origins, Danish-IAS, CERN, Scuola Superiore Meridionale)

06/07/2022, 11:00

We explore the quantum nature of black holes by introducing an effective frame- work that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild geometry in a way that is consistent with the physical scales of the black hole and its classical symmetries. This is achieved by organizing the quantum...

39. Computing OPE coefficients for strongly coupled SCFTs

Raffaele Savelli (University of Rome "Tor Vergata")

07/07/2022, 09:30

There are special classes of N=2 superconformal field theories in four dimensions, such as those of the “Argyres-Douglas” type, that feature an intrinsically strong dynamics. Due to the lack of a Lagrangian description, determining their properties quantitatively is a challenge. In this talk, I will present a general formula, which, inspired by the techniques of localization in gauge theory,...

41. Stability analysis of a non-Unitary CFT

Masataka Watanabe (Weizmann Institute of Science)

07/07/2022, 11:00

I will argue for the instability of the O(N) Wilson-Fisher fixed point above four dimensions, using the epsilon expansion.
By computing the lowest operator dimension in the rank-Q symmetric rep in the double-scaling limit where epsilonQ fixed, I will show that its imaginary part never vanishes for any epsilonQ.
The mechanism for the imaginary part is different for small and large...

37. Double scaling limits for field theory defects

Diego Rodriguez-Gomez (U. of Oviedo)

07/07/2022, 14:00

Defect operators in field theory are very interesting for a number of reasons. Drawing inspiration from techniques which have been very recently applied to uncover interesting properties of sectors of operators with large charge under a global symmetry, we will study simple defects in the Wilson-Fisher fixed point near d=4,6 dimensions. Combining with localization, we will also introduce a...

28. Long Range Model at Large Charge and Large N

Elizabeth Helfenberger (Princeton University)

07/07/2022, 15:30

We study operators with large charge $j$ in the $d$-dimensional $O(N)$ model with long range interactions that decrease with the distance as $1/r^{d+s}$, where $s$ is a continuous parameter. We consider the double scaling limit of large $N$, large $j$ with $j/N=\hat{j}$ fixed, and identify the semiclassical saddle point that captures the two-point function of the large charge operators in this...

36. The Quantum Mechanics of a 2D perfect fluid

Riccardo Rattazzi (EPFL)

08/07/2022, 09:30

23. Identifying Large Charge Operators

Gil Badel (EPFL)

08/07/2022, 11:00

The Large Charge sector of Conformal Field Theory can generically be described through a semiclassical expansion around a superfluid background. Focussing on $U(1)$ invariant Wilson-Fisher fixed points, I will discuss the spectrum of spinning large charge operators. For sufficiently low spin these correspond to the phonon excitations of the superfluid state. I will describe the organization of...

27. Flux Correlators and Semiclassics

Eren Firat (EPFL)

08/07/2022, 11:30

I will talk about charge and energy flux correlators in a Lorentzian CFT in the presence of a large U(1) charge n produced by an external excitation. This type of object is particularly interesting as it is very close to observables used in collider physics. Even considering a weakly coupled theory, the standard perturbative expansion breaks down at large λn, with λ the theory’s coupling. In...