XIV Workshop on Geometric Correspondences of Gauge Theories

Jun 24, 2024, 9:00 AM → Jun 28, 2024, 6:00 PM Europe/Rome

Room D (iGAP)

The focus of the workshop is on recent developments in correspondences among supersymmetric gauge theories in various dimensions, topological field theories, 2D conformal field theories, integrable systems and the corresponding moduli spaces.

The Workshop is organized in the context of the Institute for Geometry and Physics.

Organizers P. Arnaudo, G. Bonelli, P. Gavrylenko,  A. Tanzini

List of speakers

• Ines Aniceto (Univ. Southhampton)
• Pietro Benetti Genolini (Univ. Genova) 
• Ioana Coman (IPMU Tokyo) 
• Michele Del Zotto, (Univ. Uppsala) 
• Andrea E. V. Ferrari (Edinburgh/DESY) 
• Elizabeth Gasparim (Univ. Catolica del Norte)
• Babak Haghighat (Univ. Tsinghua)
• Quianyu Hao (Univ. Geneve)
• Oleg Lisovvy (Univ. Tours)
• Pietro Longhi (Univ. Uppsala)
• Andrei Marshakov (Krichever CAS, Skoltech)
• Dario Martelli (Univ. Torino)
• Andrii Naidiuk (Univ. Tours)
• Anton Nedelin (King's Coll. London)
• Volodya Roubtsov, (Univ. Angers)
• Matteo Sacchi (Univ. Oxford) 
• Maxim Zabzine (Univ. Uppsala)
• Yegor Zenkevich (Univ. Edinburgh)

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Registration deadline June 9 2024

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The workshop is financially supported by IGAP, INFN and SISSA.

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Link to the 2011 edition website. 
Link to the 2012 edition website. 
Link to the 2013 edition website 
Link to the 2015 edition website. 
Link to the 2016 edition website 
Link to the 2017 edition website 
Link to the 2018 edition website 
Link to the 2019 edition website 
Link to the 2020 edition website 
Link to the 2021 edition website 
Link to the 2022 edition website
Link to the 2023 edition website

Monday, June 24

1 Zabzine

11:00 AM Break

2 Quiver structures of knot invariants, open strings, and recursion

Speaker: Pietro Longhi (Univ. Uppsala)

12:30 PM Lunch

3 VOAs from quiver varieties of 3D SQFTs

Speaker: Ioana Coman (IPMU Tokyo)

3:30 PM Break

4 Irregular conformal blocks and Painlevé tau functions

Speaker: Oleg Lisovvy (Univ. Tours)

Tuesday, June 25

5 Elliptic Integrable Models and their Spectra from Superconformal Indices

Speaker: Anton Nedelin (King's Coll. London)

11:00 AM Break

6 Orbifold Holography

Speaker: Dario Martelli (Univ. Torino)

12:30 PM Lunch

7 Zenkevich

3:30 PM Break

8 Abelianization of Virasoro conformal blocks at c = 1

Speaker: Quianyu Hao (Univ. Geneve)

Wednesday, June 26

9 Flat Connections from Irregular Conformal Blocks

Speaker: Babak Haghighat (Univ. Tsinghua)

11:00 AM Break

10 Del Zotto

11 Equivariant localization in supergravity

Speaker: Pietro Benetti Genolini (Univ. Genova)

Thursday, June 27

12 On Krichever tau-function and Verlinde formula

Speaker: Andrei Marshakov (Krichever CAS, Skoltech)

11:00 AM Break

13 Anomalies, generalized symmetries, and compactifications

Anomalies and symmetries play key roles in understanding QFTs. Compactification, which relates theories in different spacetime dimensions, offers valuable insights as well. In this talk, I will address some aspects of the behaviour of anomalies and generalized symmetries under compactification. I will first explain how the anomalies for finite higher-form symmetries of the lower dimensional theory can be obtained by integrating the anomaly theory of the higher dimensional theory on the compact surface. Then, I will discuss the fate of various generalized symmetry structures (2-group and non-invertible symmetries) in 4d models upon compactification on a 2-sphere. These structures tend to trivialize in 2d, but they can still leave an imprint in terms of ’t Hooft anomalies or symmetry breaking patterns. While tested in supersymmetric models, these concepts are applicable to non-supersymmetric theories too.

Speaker: Matteo Sacchi (Univ. Oxford)

12:30 PM Lunch

14 Creating partition functions for singular varieties a universal recipe

Speaker: Elizabeth Gasparim (Univ. Catolica del Norte)

3:30 PM Break

15 Berry connections for 2d (2,2) GLSMs and (generalised) cohomology theories

Speaker: Andrea E. V. Ferrari (Edinburgh/DESY)

Friday, June 28

16 Higher Bessel functions: some new results

We consider the generating function $\Phi^{(N)}$ for the reciprocals $N$-th power of factorials (Higher Bessel functions =s olutions $P^{N-1}$ «quantum» DE). We show a connection of product formulas for such series with the periods for certain families of algebraic hypersurfaces. We describe the singular loci of these surfaces and show that they are given by zeros of the Buchstaber-Rees polynomials, entering in $N$-valued group laws. We propose a generalized Frobenius method and use it to obtain special expansions for multiplication kernels in the sense of Kontsevich. Using these expansions we provide some experimental results to connect $N$-Bessel kernels and the hierarchies of the palindromic unimodal polynomials. We study the properties of such polynomials and conjecture positivity of their roots.
The results are based on a recent joint paper (arXiv-2405.03015) with I. Gaiur (Toronto) and D. van Straten (Mainz).

Speaker: Volodya Roubtsov (Univ. Angers)

11:00 AM Break

17 Aniceto

18 Final discussion