Single Workshop

Abstract

Modularity is a particularly powerful symmetry with many applications in theoretical physics and mathematics, in particular quantum field theory and string theory. Resurgence is a general framework for advanced asymptotics which effectively unifies perturbative and non-perturbative physics via an intricate network of algebraic relations known as Ecalle’s bridge equations. Modularity and resurgence overlap strongly in the goal of exploring non-perturbative completions of perturbative data, leading to profound new insights into the connection between weak coupling and strong coupling, and in the study of dualities, black holes and quantum gravity. The goal of this GGI Workshop is to bring together experts from these two frontier areas in theoretical and mathematical physics to foster further interaction between different scientific communities and to develop novel strategies to address truly significant problems.

Topics

Focus topics include:
- Modular graph forms and the low-energy expansion of string theory.
- Resurgence, duality and modularity in AdS/CFT.
- Automorphic forms and non-perturbative scattering amplitudes.
- Resurgence and (Mock)-modularity in 3d Chern-Simons theories.
- Exact results in localizable superconformal quantum field theories.
- Resurgence and modularity in black holes and quantum information.

The GGI environment is ideal for starting new collaborations, and learning new methods. A particular goal of the workshop is to attract outstanding junior scientists to this field. We plan a week-long introductory school at the beginning of the workshop, and a one-week conference later in the workshop. Junior scientists will be given priority in presenting their current work in informal “chalk talks” throughout the workshop.

Organizers

Daniele Dorigoni (Durham University) daniele.dorigoni@durham.ac.uk
Gerald Dunne (University of Connecticut) gerald.dunne@uconn.edu
Michael Green (DAMTP, Cambridge) mbg15@cam.ac.uk
Luca Griguolo (University of Parma) luca.griguolo@unipr.it
Sarah Harrison (Northeastern University) s.harrison@northeastern.edu
Yasuyuki Hatsuda (Rikkyo University, Japan) yhatsuda@rikkyo.ac.jp
Axel Kleinschmidt (Albert Einstein Institute, Potsdam) axel.kleinschmidt@aei.mpg.de
Sameer Murthy (King’s College London) sameer.murthy@kcl.ac.uk
Anne Taormina (Durham University) anne.taormina@durham.ac.uk

Local organizers

Li Gan (GGI)

Contact

daniele.dorigoni@durham.ac.uk

Website:

Related events

Resurgence and Modularity in QFT and String Theory (Training Week) - 08 Apr, 2024
Resurgence and Modularity in QFT and String Theory (Conference) - 06 May, 2024

Poster session

The participants who would like to present a poster are kindly invited to send an email with the title and a short abstract to alice.bernamonti@unifuit before May 22, specifying for which week of the workshop. Since a limited number of panels is available, the organizers will select the posters shortly after the deadline.

week 3

	Monday	Tuesday	Wednesday	Thursday	Friday
11:30 - 12:30		Tomasevic	Newenfeld	Collin-Ellerin	Caceres
13:00 - 14:30	lunch	lunch	lunch	lunch	lunch
14:30 - 15:30	Sorce			Emparan

Elena Caceres: 'On Sparse SYK, wormholes, and chaos"
Sean Colin-Ellerin: "Bootstrapping wuantum extremal surfaces
Roberto Emparan: "Black tsunamis and naked singularities in AdS'
Dominik Neuenfeld: "Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates"
Jonathan Sorce: "Bulk causality from boundary entanglement: the connected wedge theorem revisited"
Marija Tomasevic: 'ds through holography

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Talks

Date	Speaker	Title	Type	Useful Links
15 Apr, 2024 - 14:30-15:30	Luigi Guerrini	BPS Wilson loops and mass deformations in ABJM	Seminar
16 Apr, 2024 - 14:30-15:30	Kimyeong Lee	Strings in 6d SCFTs and Little String Theories	Seminar
17 Apr, 2024 - 14:30-15:30	Arkady Tseytlin	Semiclassical supermembranes and AdS/CFT	Seminar
18 Apr, 2024 - 14:30-15:30	Alberto Lerda	Exact Results in N=2 Conformal Theories	Seminar
19 Apr, 2024 - 14:30-15:30	Jacopo Papalini	SEMINAR CANCELLED -- Towards the bulk dual of double-scaled SYK	Seminar
22 Apr, 2024 - 14:30-15:30	Lorenzo Russo	Examples of resurgence effects in JT gravity: Spectral Form Factor and Weyl-Petersson Volumes	Seminar
23 Apr, 2024 - 14:30-15:30	Rudolfs Treilis	Modular resurgence for integrated correlators at large N	Seminar
24 Apr, 2024 - 11:00-12:00	Zoltan Bajnok	The complete trans-series for energy densities in integrable models	Seminar
24 Apr, 2024 - 15:00-16:00	Alejandro Cabo-Bizet	The Schwarzian from gauge theories (NOTE DIFFERENT STARTING TIME!)	Seminar
26 Apr, 2024 - 14:30-15:30	Marco Billò	Localization for BPS Wilson loops in N=2, d=4 theories	Seminar
29 Apr, 2024 - 14:30-15:30	Masazumi Honda	Resurgence in Lorentzian quantum cosmology: no-boundary saddles and resummation of quantum gravity corrections around tunneling saddles	Seminar
30 Apr, 2024 - 11:00-12:00	Martí Rosselló	The Giant Graviton Expansion in AdS5xS5	Seminar
30 Apr, 2024 - 14:30-15:30	David Broadhurst	Resonant resurgence and quasi-modularity from QFT	Seminar	Abstract This talk concerns two studies of Feynman integrals in QFT. In a massless case, resurgence in a Dyson-Schwinger equation leads to a trans-series with resonances between instantons producing 6 Stokes constants. In a massive case, periods of modular forms result from quasi-modularity of Lambert series. This led to 20 ways of using complex multiplication to improve Ramanujan's evaluations of zeta values.
02 May, 2024 - 11:00-12:00	Guglielmo Lockhart	The ALE partition functions of 6d SCFTs	Seminar
02 May, 2024 - 14:30-15:30	Jens Funke	Indefinite Theta Series	Seminar
03 May, 2024 - 14:30-15:30	Alexander van Spaendonck	Exact instanton transseries for quantum mechanics	Seminar
13 May, 2024 - 14:30-15:30	Mehregan Doroudiani	Modular graph forms and their integrals	Seminar
14 May, 2024 - 11:00-12:00	Guillaume Bossard	String theory at U-duality corners	Seminar
14 May, 2024 - 14:30-15:30	Federico Zerbini	Modularity and monodromy	Seminar
15 May, 2024 - 14:30-15:30	Francesco Galvagno	Modular properties of brane scattering from integrated correlators	Seminar	Abstract Integrated correlators in N=4 SYM represent a powerful tool to obtain exact results in the coupling constant, and can be used as constraints for dual scattering amplitudes in AdS. In this talk we consider a correlation function in presence of determinant operators, which in the planar limit are heavy operators realizing a giant graviton D3-brane in the dual space. We compute their integrated correlator via supersymmetric localization exactly in the 't Hooft coupling, interpreting such results as the integrated disc and annulus amplitudes from the worldsheet perspective. Next, we derive the SL(2,Z) completion of the result, that nicely matches the holographic expectations for string/brane scattering amplitude. In the end, we discuss the differences with respect to integrated correlators in presence of line defects, which are dual to extended (p,q)-string scattering and transform non-trivially under SL(2,Z). Based on arxiv:2403.17263 and arxiv:2308.16575
16 May, 2024 - 11:00-12:00	Sergey Alexandrov	Modularity and resurgence in Calabi-Yau compactifications	Seminar	Abstract I'll review some open open problems in determination of the effective action for Calabi-Yau compactifications of type II string theory, and argue that their solution requires a combination of modularity and resurgence.
16 May, 2024 - 14:30-15:40	Claudia Rella	Strong-weak symmetry and quantum modularity of resurgent topological strings	Seminar	Abstract Quantizing the mirror curve to a toric Calabi-Yau threefold gives rise to quantum operators whose fermionic spectral traces produce factorially divergent series in the Planck constant and its inverse. These are captured by the Nekrasov-Shatashvili and standard topological strings via the TS/ST correspondence. In this talk, I will discuss the resurgence of these dual asymptotic series and present an exact solution for the spectral trace of local P^2. A full-fledged strong-weak symmetry is at play, exchanging the perturbative/nonperturbative contributions to the holomorphic and anti-holomorphic blocks in the factorization of the spectral trace. This relies on a network of relations connecting the dual regimes and building upon the analytic properties of the L-functions with coefficients given by the Stokes constants and the q-series acting as their generating functions. Finally, I will mention how these results fit into a broader paradigm linking resurgence and quantum modularity. This talk is based on arXiv:2212.10606, 2404.10695, and 2404.11550.
17 May, 2024 - 11:00-12:00	Paolo Gregori	Non-perturbative Topological Recursion in Jackiw-Teitelboim Gravity	Seminar	Abstract The connection between matrix models and two-dimensional gravitational theories (including JT gravity) is a very well-established one. For this reason, Topological Recursion has proved to be an invaluable tool for computing observables perturbatively in such theories. In this talk, I will introduce a non-perturbative generalization of Topological Recursion which is particularly well-suited for the study of instanton effects (more specifically, of the ZZ brane type), and apply it to the case of JT gravity. Moreover, by making use of resurgent large order relations, I will show how our results lead to large genus asymptotics of Weil-Petersson volumes.

Resurgence and Modularity in QFT and String Theory