Abstracts

Vladimir Belavin

Ground ring in Minimal Liouville Super Gravity

We present a method for the calculation of the amplitudes in minimal (super) Liouville gravity, which is based on the higher equations of motion in the (super) Liouville CFT. We use this approach to reduce the moduli integrals entering the definition of the amplitudes to certain boundary contributions, which can be calculated explicitly. We discuss the dual matrix model description and a generalization to the supersymmetric case. 

Philippe Brax

Memory and tail effects with interacting scalars

Scalar fields could be at the origin of dark matter or dark energy. Their self-interactions could be crucial to realise these scenarios. Here we will discuss the effects of these self-interacting scalars on the dynamics of binary systems. We will discuss the memory effects due to scalar interactions with matter and the tail interactions which are non-local in time. We will present some constraints on the self-interactions from the bounds on these effects. 

Andrés Collinucci

GV invariants for non-toric local CY threefolds 

Gopakumar-Vafa invariants of noncompact CY threefolds have been studied extensively for decades, however, mainly for toric cases. Yet, there exists a whole world of interesting non-toric threefolds that, much like the conifold, admit small resolutions. These have very peculiar properties: They admit GV invariants of higher degrees, corresponding to M2-brane bound states. In this talk, I will explain how these threefolds are constructed as quiver representations, and will present a novel way for computing their GV invariants, invoking the duality of M-theory on C*-fibered threefolds to IIA string theory in the presence of D6-branes. Finally, I will present the early stages of ongoing work on computing stability conditions for orbifolds of such spaces.

Veronica Fantini

A journey in resurgence

The theory of resurgence introduced by Écalle in the 80s gives a tool to compute non-perturbative corrections of divergent power series. Recently, it has been successfully applied in topological strings, QFT, complex Chern-Simons, etc. In this talk, I will review the basics of resurgence and present some applications. 

Boris Pioline

BPS Black holes and generalized error functions 

In Calabi-Yau string compactifications, S-duality predicts that suitable generating series of indices counting BPS black hole microstates are mock modular forms of higher depth. The non-holomorphic contributions needed to cancel the anomaly under modular transformations involve certain indefinite theta series with kernels constructed from generalized error functions. Physically, these contributions are expected to arise from a spectral asymmetry in the continuum of scattering states of n BPS dyons with mutually non-local charges. For n=2, the (standard, depth one) error function completion was derived long ago by explicitly computing the bosonic and fermionic density of states in the two-body supersymmetric quantum mechanics. Here we derive the general non-holomorphic completion for an arbitrary number of centers by evaluating the refined Witten index of the supersymmetric quantum mechanics using localization. Based on [arXiv:2507.08551] in collaboration with Rishi Raj.