TBA equations and quantum periods for D-type Argyres-Douglas theories

Abstract

We construct TBA equations for D-type Argyres-Douglas theories with an SU(2) flavor symmetry based on their spectral networks. We show that the solutions of these TBA equations agree with the quantum periods of the corresponding quantum Seiberg-Witten curves defined in the Nekrasov-Shatashvili limit of the Omega background, including a centrifugal correction. We study the variety of TBA systems across the Coulomb branch moduli space and find that they correspond to the Dynkin diagrams of $D_n$ Lie algebras in the minimal chamber, and reproduce the TBA equations for reflectionless D scattering theories at the maximally symmetric point. Numerical computations demonstrate that the quantum periods obtained from the Borel-Padé resummation and their WKB expansions are in agreement with the solutions of the TBA equations.

arXiv commentv2: 41 pages, 39 figures, 3 tables. Typos corrected, published version

References in corpus (42)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• N=2 dualities
• Geometric Engineering of Quantum Field Theories
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• New N=2 Superconformal Field Theories in Four Dimensions
• Four-dimensional wall-crossing via three-dimensional field theory
• Self-Dual Strings and N=2 Supersymmetric Field Theory
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• The ODE/IM Correspondence
• Anharmonic oscillators, the thermodynamic Bethe ansatz, and nonlinear integral equations
• Excited states by analytic continuation of TBA equations
• General Argyres-Douglas Theory
• An Introduction to Resurgence, Trans-Series and Alien Calculus
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• Spectral networks
• Wild Quiver Gauge Theories
• Resurgence and the Nekrasov-Shatashvili Limit: Connecting Weak and Strong Coupling in the Mathieu and Lam'e Systems
• Classification of Argyres-Douglas theories from M5 branes
• On the relation between Stokes multipliers and the T-Q systems of conformal field theory
• TBA equations and resurgent Quantum Mechanics
• Quantum Geometry of Resurgent Perturbative/Nonperturbative Relations
• Non-perturbative approaches to the quantum Seiberg-Witten curve
• Integrability and cycles of deformed $\mathcal{N}=2$ gauge theory
• Holomorphic Anomaly and Quantum Mechanics
• On exact-WKB analysis, resurgent structure, and quantization conditions
• Exact WKB analysis and cluster algebras II: Simple poles, orbifold points, and generalized cluster algebras
• Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^1$
• ADE Spectral Networks
• Exploring 5d BPS Spectra with Exponential Networks
• ODE/IM correspondence and the Argyres-Douglas theory
• TBA Equations and Quantization Conditions
• BPS spectrum of Argyres-Douglas theory via spectral network
• TBA equations for the Schrödinger equation with a regular singularity
• On the BPS spectrum of 5d SU(2) super-Yang-Mills
• Exact WKB and the quantum Seiberg-Witten curve for 4d $N=2$ pure $SU(3)$ Yang-Mills, Part I: Abelianization
• Quantum Seiberg-Witten curve and Universality in Argyres-Douglas theories
• Exact WKB analysis and TBA equations for the Mathieu equation
• Wall-crossing of TBA equations and WKB periods for the third order ODE
• TBA equations and exact WKB analysis in deformed supersymmetric quantum mechanics
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
• Topological recursion and uncoupled BPS structures II: Voros symbols and the $\tau$-function

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