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Open AccessPainlevé Kernels and Surface Defects at Strong Coupling
It is well established that the spectral analysis of canonically quantized four-dimensional Seiberg–Witten curves can be systematically studied via the Nekrasov–Shatashvili functions. In this paper, we explore...
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Open AccessBlack hole perturbation theory and multiple polylogarithms
We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved sys...
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Open AccessPartition functions of non-Lagrangian theories from the holomorphic anomaly
The computation of the partition function in certain quantum field theories, such as those of the Argyres-Douglas or Minahan-Nemeschansky type, is problematic due to the lack of a Lagrangian description. In th...
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Open AccessQuantum Spectral Problems and Isomonodromic Deformations
We develop a self-consistent approach to study the spectral properties of a class of quantum mechanical operators by using the knowledge about monodromies of ...
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Open AccessBlack Hole Quasinormal Modes and Seiberg–Witten Theory
We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $${\mathcal {...
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Open AccessDelayed deconfinement and the Hawking-Page transition
We revisit the confinement/deconfinement transition in N \( \mathcal{N} \) ...
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Open AccessExact WKB methods in SU(2) Nf = 1
We study in detail the Schrödinger equation corresponding to the four dimensional SU(2) N
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Open AccessExtremal correlators and random matrix theory
We study the correlation functions of Coulomb branch operators of four-dimensional N $$ \m...
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Open AccessNon-perturbative approaches to the quantum Seiberg-Witten curve
We study various non-perturbative approaches to the quantization of the Seiberg-Witten curve of N ...
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Quantum curves and q-deformed Painlevé equations
We propose that the grand canonical topological string partition functions satisfy finite-difference equations in the closed string moduli. In the case of genus one mirror curve, these are conjectured to be the q
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BPS relations from spectral problems and blowup equations
Recently, an exact duality between topological string and the spectral theory of operators constructed from mirror curves to toric Calabi–Yau threefold has been proposed. At the same time, an exact quantizatio...
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Open AccessArgyres-Douglas theories, Painlevé II and quantum mechanics
We show in details that the all order genus expansion of the two-cut Hermitian cubic matrix model reproduces the perturbative expansion of the H1 Argyres-Douglas theory coupled to the Ω background. In the self-du...
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New Results in \({\mathcal {N}}=2\) Theories from Non-perturbative String
We describe the magnetic phase of SU(N) \({\mathcal {N}}=2\) ...
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Spectral Theory and Mirror Curves of Higher Genus
Recently, a correspondence has been proposed between spectral theory and topological strings on toric Calabi–Yau manifolds. In this paper, we develop in detail this correspondence for mirror curves of higher g...
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Seiberg–Witten theory as a Fermi gas
We explore a new connection between Seiberg–Witten theory and quantum statistical systems by relating the dual partition function of SU(2) Super Yang–Mills theory in a self-dual
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Topological Strings from Quantum Mechanics
We propose a general correspondence which associates a non-perturbative quantum-mechanical operator to a toric Calabi–Yau manifold, and we conjecture an explicit formula for its spectral determinant in terms o...
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The Topological Open String Wavefunction
We show that, in local Calabi–Yau manifolds, the topological open string partition function transforms as a wavefunction under modular transformations. Our derivation is based on the topological recursion for ...
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Open AccessExact results in \( \mathcal{N}=8 \) Chern-Simons-matter theories and quantum geometry
We show that, in ABJ(M) theories with N = 8 ...
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Open AccessResumming the string perturbation series
We use the AdS/CFT correspondence to study the resummation of a perturbative genus expansion appearing in the type II superstring dual of ABJM theory. Although the series is Borel summable, its Borel resummati...
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Open AccessM-theoretic matrix models
Some matrix models admit, on top of the usual ’t Hooft expansion, an M-theory-like expansion, i.e. an expansion at large N but where the rest of the parameters are fixed, instead of scaling with N . These models,...
