Quantum geometry of resurgent perturbative/nonperturbative relations (Q682977)

scientific article

Language	Label	Description	Also known as
English	Quantum geometry of resurgent perturbative/nonperturbative relations	scientific article

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instance of

scholarly article

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title

Quantum geometry of resurgent perturbative/nonperturbative relations (English)

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Journal of High Energy Physics

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publication date

5 February 2018

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full work available at URL

https://arxiv.org/abs/1701.06572

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zbMATH Keywords

nonperturbative effects

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solitons monopoles and instantons

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topological strings

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MaRDI profile type

MaRDI publication profile

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Divergent series, summability and resurgence I. Monodromy and resurgence

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Exact semiclassical expansions for one-dimensional quantum oscillators

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Q4261277

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Q5716274

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Multi-instantons and exact results. I: conjectures, WKB expansions, and instanton interactions

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Multi-instantons and exact results. II: Specific cases, higher-order effects, and numerical calculations

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Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators

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Instantons in quantum mechanics and resurgent expansions

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Hyperasymptotics for integrals with saddles

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Global asymptotics for multiple integrals with boundaries.

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Nonperturbative ambiguities and the reality of resurgent transseries

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Exponentially small corrections in the asymptotic expansion of the eigenvalues of the cubic anharmonic oscillator

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Uniform asymptotic and JWKB expansions for anharmonic oscillators

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Anharmonic oscillator discontinuity formulae up to second-exponentially-small order

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Langer–Cherry derivation of the multi-instanton expansion for the symmetric double well

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WKB and resurgence in the Mathieu equation

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Resurgence in sine-Gordon quantum mechanics: exact agreement between multi-instantons and uniform WKB

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Deconstructing zero: resurgence, supersymmetry and complex saddles

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Cheshire cat resurgence, self-resurgence and quasi-exact solvable systems

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Holomorphic anomaly and quantum mechanics

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Hofstadter’s butterfly in quantum geometry

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Multi-instantons and multicuts

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Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

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Solution of the Schrödinger equation in terms of classical paths

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Q3207408

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Q3041568

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Integrability and Seiberg-Witten exact solution

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NONPERTURBATIVE EFFECTIVE ACTIONS OF (N=2)-SUPERSYMMETRIC GAUGE THEORIES

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Seiberg-Witten prepotential from instanton counting

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Q5482632

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Quantization of Integrable Systems and Four Dimensional Gauge Theories

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Liouville correlation functions from four-dimensional gauge theories

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Wall-crossing, Hitchin systems, and the WKB approximation

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On AGT conjecture

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New dualities of supersymmetric gauge theories

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Nekrasov functions and exact Bohr-Sommerfeld integrals

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Nekrasov functions from exact Bohr–Sommerfeld periods: the case of<i>SU</i>(<i>N</i>)

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Matrix model conjecture for exact BS periods and Nekrasov functions

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The \(\Omega \) deformed \(B\)-model for rigid \(N=2\) theories

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On gauge theory and topological string in Nekrasov-Shatashvili limit

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The toroidal block and the genus expansion

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Pure \( \mathcal{N}=2 \) super Yang-Mills and exact WKB

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Non-perturbative quantum geometry

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Non-perturbative quantum geometry. II

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Non-perturbative quantum geometry. III

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RG-Whitham dynamics and complex Hamiltonian systems

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Classical irregular block, \( \mathcal{N} = 2\) pure gauge theory and Mathieu equation

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Classical limit of irregular blocks and Mathieu functions

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Exact WKB analysis of \( \mathcal{N} =2\) gauge theories

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Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations

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On the relation between Stokes multipliers and the \(T\)-\(Q\) systems of conformal field theory

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The ODE/IM correspondence

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Spectral determinants for Schrödinger equation and \({\mathbb{Q}}\)-operators of conformal field theory

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Higher-level eigenvalues of \(Q\)-operators and Schrödinger equation

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Matrix models, topological strings, and supersymmetric gauge theories

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On geometry and matrix models

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Topological strings and integrable hierarchies

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Quantum geometry of refined topological strings

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Nonpertubative effects and the large-order behavior of matrix models and topological strings

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Borel and Stokes nonperturbative phenomena in topological string theory and \(c=1\) matrix models

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The resurgence of instantons in string theory

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Lectures on non-perturbative effects in large N gauge theories, matrix models and strings

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Resurgent transseries and the holomorphic anomaly: nonperturbative closed strings in local \(\mathbb{CP}^2\)

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Resurgent analysis of localizable observables in supersymmetric gauge theories

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Finite \(N\) from resurgent large \(N\)

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Instantons and Large N

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Spectral determinants and quantum theta functions

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Resurgence matches quantization

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Deforming SW curve

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Deformed prepotential, quantum integrable system and Liouville field theory

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Ramanujan's Theories of Elliptic Functions to Alternative Bases

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On Hecke groups, Schwarzian triangle functions and a class of hyper-elliptic functions

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A Cubic Counterpart of Jacobi's Identity and the AGM

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Some Cubic Modular Identities of Ramanujan

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Inversion formulas for elliptic functions

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On the theory of elliptic functions based on ₂𝐹₁(\frac{1}3,\frac{2}3;\frac{1}2;𝑧)

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A note on Ramanujan's identities involving the hypergeometric function \({_{2}}F_{1}(\frac{1}{6},\frac{5}{6};1;z)\)

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On a theory of elliptic functions based on the incomplete integral of the hypergeometric function \({_{2}}F_{1}(\frac{1}{4},\frac{3}{4};\frac{1}{2};z)\)

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Q4472996

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CORRELATION FUNCTIONS FOR TOPOLOGICAL LANDAU-GINZBURG MODELS WITH c≤3

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S-duality, triangle groups and modular anomalies in \( \mathcal{N}=2 \) SQCD

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Q5815016

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Q4873731

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Arithmetic properties of mirror map and quantum coupling

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Mirror maps, modular relations and hypergeometric series. II

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Q2739543

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PERIODS, COUPLING CONSTANTS AND MODULAR FUNCTIONS IN N=2 SU(2) SYM WITH MASSIVE MATTER

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Local normal forms of functions

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Q5615009

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Hill’s Equation with a Large Potential

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Asymptotic Behavior of Stability Regions for Hill’s Equation

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The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation

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Q4940095

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Q4000402

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Holomorphicity and modularity in Seiberg-Witten theories with matter

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Modular anomaly equation, heat kernel and S-duality in \( \mathcal{N}=2 \) theories

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Modular anomaly equations and S-duality in \( \mathcal{N}=2 \) conformal SQCD

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Coulomb Phase of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>2</mml:mn><mml:mn /></mml:math>Supersymmetric QCD

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The vacuum structure of \(N=2\) super-QCD with classical gauge groups

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Dynamics of \(\text{SU}(N)\) supersymmetric gauge theory

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On the quantum moduli space of vacua of \(N=2\) supersymmetric SU\((N_{c})\) gauge theories

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Hyperelliptic curves for supersymmetric Yang-Mills

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\(N=2\) super Yang-Mills and subgroups of SL\((2,\mathbb{Z})\)

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Stokes phenomenon for the prolate spheroidal wave equation

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Algebraic hypergeometric transformations of modular origin

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Algebraic Transformations of Gauss Hypergeometric Functions

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New Characterizations for the Eigenvalues of the Prolate Spheroidal Wave Equation

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Q2762153

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Subdominant solutions of linear differential equations with polynomial coefficients

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Strong coupling in F-theory and geometrically non-Higgsable seven-branes

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Identifiers

zbMATH Open document ID

1380.81385

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DOI

10.1007/JHEP05(2017)087

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:682977