activity
20232026
most citedQuantum Analytic Langlands Correspondence

2 citations · 2 across the 6 of their papers we have counts for

collaborators

11 papers

math.QA2026

-algebras

Davide Gaiotto

We introduce the notion of -algebra, a conjectural axiomatization of the fusion algebra of rotation-equivariant BPS line defects in a 4d Supersymmetr…

hep-th2026

Interface Minimal Model Holography and Topological String Theory

Davide Gaiotto, Keyou Zeng

We study the dynamics of 2d fermions coupled to 3d Chern-Simons gauge fields. For gauge group and fermions in the fundamental representation, the resulting interfaces are c…

hep-th2025

The Categorical 't Hooft Expansion

Davide Gaiotto

We review categorical aspects of 't Hooft's large expansion, which is expected to map any Quantum Field Theory of large matrices to a string theory. Our goal is to describe a g…

hep-th2025

D-branes and the planar limit of Chern-Simons theory I: Link invariants

Davide Gaiotto, Suriyah Rajalingam Kannagi, Sergio Sanjurjo

We revisit the Holographic duality between Chern-Simons theory and the A-model Topological String Theory. We develop a strategy to systematically compute the large sa…

hep-th2025

Renormalization Group flow in Schur quantization

Federico Ambrosino, Davide Gaiotto

We develop a general formalism to describe the Renormalization Group Flow of Schur indices and fusion algebras of BPS line defects in four-dimensional Supersymmetric Q…

hep-th2024

Categorical 't Hooft expansion and chiral algebras

Davide Gaiotto, Adrián López-Raven, Hanne Silverans +1

Twisted holography captures protected aspects of well-known holographic dualities. We show how the holographic dual B-model background can be systematically derived from the 't Hoo…

hep-th2024

Schur Quantization and Complex Chern-Simons theory

Davide Gaiotto, Jörg Teschner

Any four-dimensional Supersymmetric Quantum Field Theory with eight supercharges can be associated to a certain complex symplectic manifold called the "K-theoretic Coulomb branch"…

hep-th2024

Categories of Line Defects and Cohomological Hall Algebras

Davide Gaiotto, Nikita Grygoryev, Wei Li

Any four-dimensional Supersymmetric Quantum Field Theory with eight supercharges can be associated to a monoidal category of BPS line defects. Any Coulomb vacuum of such a theory c…

hep-th2024

Higher Operations in Perturbation Theory

Davide Gaiotto, Justin Kulp, Jingxiang Wu

We discuss the role of formal deformation theory in quantum field theories and present various ``higher operations'' which control their deformations, (generalized) OPEs, and anoma…

hep-th2024★ 2 cited

Quantum Analytic Langlands Correspondence

Davide Gaiotto, Jörg Teschner

The analytic Langlands correspondence describes the solution to the spectral problem for the quantised Hitchin Hamiltonians. It is related to the S-duality of super Yan…

hep-th2023

Categorical Pentagon Relations and Koszul Duality

Davide Gaiotto, Ahsan Khan

The Kontsevich-Soibelman wall-crossing formula is known to control the jumping behavior of BPS state counting indices in four-dimensional theories with supersymmetr…