DOI10.1007/s00023-013-0239-7zbMath1288.81132arXiv1204.4824OpenAlexW3037331373MaRDI QIDQ382233
Davide Gaiotto, Gregory W. Moore, Andrew Neitzke
Publication date: 18 November 2013
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.4824
BPS states in \(\mathcal{N} = 2\) supersymmetric \(G_{2}\) and \(F_{4}\) models,
Cluster characters and the combinatorics of Toda systems,
Abelianisation of logarithmic \(\mathfrak{sl}_2\)-connections,
Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY,
WKB periods for higher order ODE and TBA equations,
Spectral networks and Fenchel-Nielsen coordinates,
Wall-crossing of TBA equations and WKB periods for the third order ODE,
String theory origin of bipartite scfts,
Algebra of the infrared and secondary polytopes,
Surface defects and instanton partition functions,
K-decompositions and 3d gauge theories,
Witten index for noncompact dynamics,
Exact WKB analysis of \( \mathcal{N} =2\) gauge theories,
ADE spectral networks,
Regge trajectories in \( \mathcal{N} =2\) supersymmetric Yang-Mills theory,
Categorification of 2d-4d wall-crossing and curve-valued Landau-Ginzburg potentials,
On a canonical quantization of 3D anti de Sitter pure gravity,
On the chiral algebra of Argyres-Douglas theories and S-duality,
Combinatorial description of jumps in spectral networks defined by quadratic differentials,
Toda systems, cluster characters, and spectral networks,
The dual boundary complex of the \(SL_2\) character variety of a punctured sphere,
A hyperkähler geometry associated to the BPS structure of the resolved conifold,
An Introduction to the Web-Based Formalism,
Spectral networks,
The quantum trace as a quantum non-abelianization map,
Scattering diagrams, stability conditions, and coherent sheaves on ℙ²,
Geometric classification of 4d \( \mathcal{N}=2 \) SCFTs,
From quantum curves to topological string partition functions,
Existence and uniqueness of exact WKB solutions for second-order singularly perturbed linear ODEs,
EXACT SOLUTIONS FOR THE SINGULARLY PERTURBED RICCATI EQUATION AND EXACT WKB ANALYSIS,
Counting tripods on the torus,
Exponential networks, WKB and topological string,
Multi-cover skeins, quivers, and 3d \(\mathcal{N} = 2\) dualities,
On the BPS spectrum of the rank-1 Minahan-Nemeschansky theories,
2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis,
Higher spin JT gravity and a matrix model dual,
The quantum UV-IR map for line defects in \(\mathfrak{gl}(3)\)-type class \(S\) theories,
ADE spectral networks and decoupling limits of surface defects,
Microlocal theory of Legendrian links and cluster algebras,
Quivers, line defects and framed BPS invariants,
On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry,
Quiver symmetries and wall-crossing invariance,
Gauge/Bethe correspondence from quiver BPS algebras,
BPS graphs: from spectral networks to BPS quivers,
Cluster-like coordinates in supersymmetric quantum field theory,
Tropical Fock–Goncharov coordinates for -webs on surfaces I: construction,
Opers and Non-Abelian Hodge: Numerical Studies,
Exponential networks and representations of quivers,
Donaldson-Thomas transformations of moduli spaces of G-local systems,
Topological recursion and uncoupled BPS structures. II: Voros symbols and the \(\tau\)-function,
Ideal Webs, Moduli Spaces of Local Systems, and 3d Calabi–Yau Categories,
Constructing Buildings and Harmonic Maps,
Line defect Schur indices, Verlinde algebras and \(\mathrm{U}(1)_{r}\) fixed points,
Surface defect indices and 2d-4d BPS states,
A-branes, foliations and localization,
Legendrian weaves: \(N\)-graph calculus, flag moduli and applications,
Mathematical structures of non-perturbative topological string theory: from GW to DT invariants,
\(\mathrm{SL}_2\) quantum trace in quantum Teichmüller theory via writhe,
Spectral networks and snakes,
Exact WKB and abelianization for the \(T_3\) equation,
Reduction for 𝑆𝐿(3) pre-buildings,
From the Hitchin section to opers through nonabelian Hodge,
Asymptotics of Hitchin's metric on the Hitchin section,
Algebraic branch points at all loop orders from positive kinematics and wall crossing,
Spectral networks with spin,
Novel wall-crossing behaviour in rank one \(\mathcal{N} = 2^*\) gauge theory,
Wall crossing invariants from spectral networks,
BPS spectra of \(\mathcal{N} = 2\) \(\operatorname{SO}_{7}\) and \(\operatorname{SP}_{4}\) models,
WKB Analysis and Stokes Geometry of Differential Equations,
Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I,
Quantum holonomies from spectral networks and framed BPS states,
\(q\)-nonabelianization for line defects,
BPS states in the Minahan-Nemeschansky \({E_6}\) theory,
Physics and geometry of knots-quivers correspondence,
Reconstructing GKZ via topological recursion,
CLUSTER STRUCTURES ON HIGHER TEICHMULLER SPACES FOR CLASSICAL GROUPS,
Harmonic maps to buildings and singular perturbation theory,
Cluster varieties from Legendrian knots,
Differential algebra of cubic planar graphs,
Integrable Kondo problems,
Half-hypers and quivers,
4d \({\mathcal N}=2\) gauge theories and quivers: the non-simply laced case,
\( \mathcal{N} =1\) dynamics with \(T_N\) theory,
Noncommutative Homological Mirror Functor,
Quantum line defects and refined BPS spectra,
Floer theory of higher rank quiver \(3\)-folds,
Cluster theory of the coherent Satake category,
Why is Landau-Ginzburg link cohomology equivalent to Khovanov homology?,
Topological recursion and uncoupled BPS structures. I: BPS spectrum and free energies,
A geometric recipe for twisted superpotentials,
Exploring 5d BPS spectra with exponential networks,
An infrared bootstrap of the Schur index with surface defects,
Index-like theorems from line defect vevs,
Exact WKB methods in SU(2) \(\mathrm{N_f} = 1\),
Kondo line defects and affine Gaudin models,
Exact WKB and the quantum Seiberg-Witten curve for 4d \(N = 2\) pure SU(3) Yang-Mills. Abelianization,
Discrete integrable systems, supersymmetric quantum mechanics, and framed BPS states,
A slow review of the AGT correspondence
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- Twistorial topological strings and a \({tt}^*\) geometry for \(\mathcal{N} = 2\) theories in \(4d\)
- Loop and surface operators in \( \mathcal{N} = 2 \) gauge theory and Liouville modular geometry
- BPS quivers and spectra of complete \(\mathcal N =2\) quantum field theories
- Spectral networks
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- \(\mathcal{N}=2\) quantum field theories and their BPS quivers
- On Arnold's 14 `exceptional' \( \mathcal{N} = 2 \) superconformal gauge theories
- Quantum wall crossing in \({\mathcal N}=2\) gauge theories
- From real affine geometry to complex geometry
- On the weak coupling spectrum of \(N=2\) supersymmetric SU\((n)\) gauge theory
- Mirror symmetry for log Calabi-Yau surfaces. I
- Topological--anti-topological fusion.
- The tropical vertex
- The quantum dilogarithm and representations of quantum cluster varieties
- Flat G-bundles with canonical metrics
- Asymptotic behavior of monodromy. Singularly perturbed differential equations on a Riemann surface
- Voros resurrection and periods of hyperelliptic curves
- Ising model and \(N=2\) supersymmetric theories
- On classification of \(N=2\) supersymmetric theories
- Self-dual strings and stability of BPS states in \(N=2\) SU(2) gauge theories
- Solutions of four-dimensional field theories via M-theory
- The gerbe of Higgs bundles.
- Self-dual strings and \(N=2\) supersymmetric field theory
- Wall-crossing, Hitchin systems, and the WKB approximation
- Knot invariants from four-dimensional gauge theory
- Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
- Split states, entropy enigmas, holes and halos
- Moduli space and wall-crossing formulae in higher-rank gauge theories
- Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
- Wall-crossing from supersymmetric galaxies
- Bound state transformation walls
- Spectral networks and snakes
- Framed BPS states
- Moduli spaces of local systems and higher Teichmüller theory
- Families of $${\mathcal N}=2$$ Field Theories
- Harmonic Bundles on Noncompact Curves
- Cluster ensembles, quantization and the dilogarithm
- The Self-Duality Equations on a Riemann Surface
- Twisted Harmonic Maps and the Self-Duality Equations
- New Stokes’ line in WKB theory
- Wild non-abelian Hodge theory on curves
- Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations
- The Yang-Mills equations over Riemann surfaces
- Spectral Covers
- Mirror symmetry and T-duality in the complement of an anticanonical divisor
- Symplectic manifolds and isomonodromic deformations
- Four-dimensional wall-crossing via three-dimensional field theory