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

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:

Code of Conduct

Please read the INFN Code of Conduct for Conferences and Events.

Related events

Resurgence and Modularity in QFT and String Theory (Workshop) - 08 Apr, 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
06 May, 2024 - 11:00-12:00	Ovidiu Costin	Unique continuation through natural boundaries using resurgence	Seminar	Abstract Resurgence theory is a wide-ranging extension of analyticity and of Borel summability, known to apply in many problems of natural origin. I will give an overview of some elements of this theory and discuss new results on unique continuation through natural boundaries, such as the unit circle for q-series, from a theoretical as well as numerical perspective. Work in collaboration with G. Dunne, A. Gruen and S. Gukov
06 May, 2024 - 14:30-15:30	Shai Chester	Bootstrapping F-theory	Seminar
06 May, 2024 - 16:30-17:30	Marialuisa Frau	Strong coupling results in N=2 gauge theories	Seminar	Abstract We will discuss recent developments in the study of correlation functions of chiral scalar operators and integrated correlators in four-dimensional N=2 quiver gauge theories. Using supersymmetric localization, it is possible to map the computation of these observables to an interacting matrix model and obtain expressions that are valid for any value of the ’t Hooft coupling in the planar limit of the theory. In particular, we will focus on the strong-coupling regime, where these expressions allow us to compute the leading and subleading orders behavior of the observables in an analytic way
07 May, 2024 - 11:00-12:00	Veronica Fantini	Modular resurgent structures of fermionic spectral traces on local P^2	Seminar	Abstract In a joint project with C. Rella, we propose a new paradigm of modular resurgence that focuses on the role of the Stokes constants and the interplay of the their generating functions in form of q-series with the corresponding L-functions. Resurgent series with a modular resurgent structure are conjectured to have specific summability properties as well as to be closely related to quantum modular forms. Remarkably, a pivotal example arises from topological string theory, in the study of the resurgence structure of the first fermionic spectral traces of local P^2. In this talk, after discussing the general paradigm of modular resurgent series, I will focus on the example of local P^2. In particular, I will show that the generating functions of the Stokes constants (both in the weak and strong coupling regimes) are quantum modular forms. This talk is based on arxiv:2404.11550 and arxiv:2404.10695.
07 May, 2024 - 14:30-15:30	Nathan Benjamin	Scalar modular bootstrap and zeros of the zeta function	Seminar
07 May, 2024 - 16:30-17:30	Abhiram Kidambi	Generalized Narain VOAs, and Ensemble Averages from real analytic Eisenstein series associated to indefinite lattices	Seminar
08 May, 2024 - 11:00-12:00	Congkao Wen	Exact results and modularity of correlators in N=4 super Yang-Mills theory	Seminar
08 May, 2024 - 14:30-15:30	Sungjay Lee	Classification of Fermionic RCFTs and Topological Phases Revisited	Seminar
08 May, 2024 - 16:30-17:30	Kim Klinger-Logan	A summary of methods for solving differential equations involving automorphic forms	Seminar
09 May, 2024 - 11:00-12:00	Ioana Coman	3d modularity revisited - defect 3-manifold invariants and VOAs	Seminar	Abstract In this talk I will revisit some results regarding the modularity of a particular type of topological 3-manifold invariants, which were originally defined as q-series to categorify WRT invariants. These invariants are related to characters of logarithmic vertex operator algebras, and give examples of quantum modular forms. I will explain how, by introducing defects, a structure of vector-valued quantum modular forms emerges for families of defect invariants. These furthermore form false-mock pairs, where the proposed mock invariants are regularised indefinite theta-functions. In this form, similarly to the false invariants, the mock counterparts can also be related to corresponding vertex operator algebras.
09 May, 2024 - 14:30-15:30	Campbell Wheeler	Computing Stokes constants with quantum modularity	Seminar
09 May, 2024 - 16:30-17:30	Sergei Gukov	Resurgence and Quantum: *Topology, Algebra, and Physics*	Seminar
10 May, 2024 - 11:00-12:00	Elba Garcia-Falide	Resurgent large genus asymptotics of intersection numbers	Seminar
10 May, 2024 - 14:30-15:30	Gregory Korchemsky	Tracy-Widom distribution in four-dimensional super-Yang-Mills theories	Seminar

Resurgence and Modularity in QFT and String Theory