Operators from mirror curves and the quantum dilogarithm

DOI10.1007/s00220-015-2499-1zbMath1348.81436arXiv1501.01014OpenAlexW1887362312MaRDI QIDQ328489

Publication date: 20 October 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01014

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Quantization in field theory; cohomological methods (81T70) Calabi-Yau theory (complex-analytic aspects) (32Q25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relationships between algebraic curves and integrable systems (14H70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Polylogarithms and relations with (K)-theory (11G55) Relationships between algebraic curves and physics (14H81) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Seiberg-Witten theory as a Fermi gas, Matrix models from operators and topological strings, Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves, Exact results for ABJ Wilson loops and open-closed duality, TBA-like integral equations from quantized mirror curves, ABJM on ellipsoid and topological strings, Pure \( \mathcal{N}=2 \) super Yang-Mills and exact WKB, Resummations and non-perturbative corrections, Exact solutions to quantum spectral curves by topological string theory, Spectral zeta function and non-perturbative effects in ABJM Fermi-gas, Matrix models from operators and topological strings. II, Topological strings from quantum mechanics, Exact quantization conditions, toric Calabi-Yau and non-perturbative topological string, ABJM matrix model and 2D Toda lattice hierarchy, Operators and higher genus mirror curves, Exact eigenfunctions and the open topological string, Spectral determinants and quantum theta functions, Thermal entropy in Calabi-Yau quantum mechanics, High order perturbation theory for difference equations and Borel summability of quantum mirror curves, Spectral Equations for the Modular Oscillator, Resurgence matches quantization, Spectral theory and mirror symmetry, Non-perturbative quantum mechanics from non-perturbative strings, Reconstructing WKB from topological recursion, Quantum curves as quantum distributions, Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves, New results in \(\mathcal N=2\) theories from non-perturbative string, Spectral theory and mirror curves of higher genus, BPS relations from spectral problems and blowup equations, Quantum periods and TBA-like equations for a class of Calabi-Yau geometries, Elliptic quantum curves of class \({\mathcal{S}}_k\), Weyl asymptotics for perturbed functional difference operators, Infinite order \(\Psi\mathrm{DOs}\): composition with entire functions, new Shubin-Sobolev spaces, and index theorem, E-string quantum curve, A sharp Lieb-Thirring inequality for functional difference operators, Infinite Order Pseudo-Differential Operators, Wavefunctions, integrability, and open strings, Quantized mirror curves and resummed WKB, The complex side of the TS/ST correspondence, Resonances and PT symmetry in quantum curves, Quantum curves and \(q\)-deformed Painlevé equations, Hofstadter’s butterfly in quantum geometry

Cites Work