On classification of $N=2$ supersymmetric theories

DOI10.1007/BF02096804zbMath0787.58049arXivhep-th/9211097OpenAlexW1978069575MaRDI QIDQ1315016

Publication date: 16 May 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9211097

zbMATH Keywords

conformal field theory supersymmetry chiral fields Landau-Ginzburg solitons

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Applications of global analysis to the sciences (58Z05)

Related Items

$tt^{*}$ geometry in 3 and 4 dimensions, The statistics of vacuum geometry, Holomorphic blocks in three dimensions, Relating 't Hooft anomalies of 4d pure Yang-Mills and 2d $\mathbb{C} \mathbb{P}^{N-1} $ model, Wall-crossings in toric Gromov-Witten theory. I: Crepant examples, More on the $\mathcal{N}=2 $ superconformal systems of type $D_p(G)$, On three dimensional quiver gauge theories and integrability, Hermitian metrics on $F$-manifolds, Domain walls in a non-linear $ {\mathbb{S}}^2 $-sigma model with homogeneous quartic polynomial potential, Boundaries, mirror symmetry, and symplectic duality in $3d \mathcal{N}=4 $ gauge theory, Infrared computations of defect Schur indices, An integral structure in quantum cohomology and mirror symmetry for toric orbifolds, Counting RG flows, Schur indices, BPS particles, and Argyres-Douglas theories, ADE spectral networks, Limits of families of Brieskorn lattices and compactified classifying spaces, 2D BPS rings from sphere partition functions, Exact semiclassical and non-perturbative BPS spectra in $N = 2$ susy QCD, Integrable systems and supersymmetric gauge theory, On the BPS spectrum at the root of the Higgs branch, Topological $\sigma$-models and the large-N matrix integrals, Discontinuous BPS spectra in $N = 2$ gauge theory, The smooth cohomology of $N=2$ supersymmetric Landau-Ginzburg field theories, From CFT to graphs, Supersymmetric $\sigma $-models on toric varieties: A test case, The Witten equation, mirror symmetry, and quantum singularity theory, Quantum cohomology of partial flag manifolds $F_{n_ 1\dots n_ k}$, Solitons and helices: The search for a math-physics bridge, The strong-coupling spectrum of the Seiberg-Witten theory, A Lie-theoretic description of the solution space of the $\mathrm{tt}^\ast$-Toda equations, A study of wall-crossing: flavored kinks in $D$ = 2 QED, Exact electric-magnetic duality in $N=2$ supersymmetric QCD theories, Domain walls zoo in supersymmetric QCD, Self-dual strings and $N=2$ supersymmetric field theory, Graphs and reflection groups, Spectral networks, Stability conditions on a non-compact Calabi-Yau threefold, Mirror symmetry in two steps: A--I--B, Realizing IR theories by projections in the UV, Orbifold equivalent potentials, Conceptual analysis of black hole entropy in string theory, Integrable hierarchies and the mirror model of local ${\mathbb {CP}}^{1}$, Wall-crossing, Hitchin systems, and the WKB approximation, Open BPS wall crossing and M-theory, ADE spectral networks and decoupling limits of surface defects, Some constraints on Frobenius manifolds with a tt*-structure, Complete graphs, Hilbert series, and the Higgs branch of the 4d $\mathcal{N} = 2\; (A_n, A_m)$ SCFTs, Geometric realizations of quiver algebras, Instanton counting and wall-crossing for orbifold quivers, Superconformal index, BPS monodromy and chiral algebras, Surface defect indices and 2d-4d BPS states, On the complete classification of unitary $N = 2$ minimal superconformal field theories, RG fixed points and flows in SQCD with adjoints, BPS and non-BPS states in a supersymmetric Landau-Ginzburg theory, Borcherds algebras and $ \mathcal{N} = 4 $ topological amplitudes, Wall crossing from Boltzmann black hole halos, Flat meromorphic connections of Frobenius manifolds with tt$^*$-structure, Electric-magnetic duality, monopole condensation, and confinement in $N=2$ supersymmetric Yang-Mills theory, Stokes phenomena and quantum integrability in non-critical string/M theory, A new 2d/4d duality via integrability, On Arnold's 14 `exceptional' $ \mathcal{N} = 2 $ superconformal gauge theories, TBA equations and resurgent quantum mechanics, Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes, Wall crossing invariants from spectral networks, Bands and gaps in Nekrasov partition function, Surface defects and chiral algebras, Curvature of classifying spaces for Brieskorn lattices, Special geometry and the swampland, A Fock sheaf for Givental quantization, A classification programme of generalized Dynkin diagrams, Reconstructing GKZ via topological recursion, Isomonodromy aspects of the $\mathrm{tt}^*$ equations of Cecotti and Vafa. II: Riemann-Hilbert problem, Framed BPS states, moduli dynamics, and wall-crossing, Construction of topological defect networks with complex scalar fields, D-brane central charge and Landau-Ginzburg orbifolds, Topological defects and SUSY RG flow, Seiberg-Witten theory and matrix models, Lattice formulation of 2D ${\mathcal N}=(2,2)$ SQCD based on the B model twist, BPS spectrum, indices and wall crossing in $\mathcal N=4$ supersymmetric Yang-Mills theories, Half-hypers and quivers, Surface operators in $ \mathcal{N} = 2$ 4d gauge theories, The BPS spectrum generator in 2D-4D systems, Wall-crossing in coupled 2d-4d systems, Duality in two-dimensional $(2,2)$ supersymmetric non-abelian gauge theories, Infinitely many $\mathcal N=2$ SCFT with $ADE$ flavor symmetry, Curves of marginal stability, and weak- and strong-coupling BPS spectra in $N=2$ supersymmetric QCD, Monopoles, duality and chiral symmetry breaking in $N=2$ supersymmetric QCD, Branes and $N=2$ theories in two dimensions., Grassmannian $\sigma$-models and topological--anti-topological fusion, Topological strings with scaling violation and Toda lattice hierarchy, Dynamics of $\text{SU}(N)$ supersymmetric gauge theory, A stringy test of the fate of the conifold, Large $N$ domain walls as D-branes for $N=1$ QCD string, BPS domain walls in large-$N$ supersymmetric QCD, On the classification of duality webs for graded quivers, BPS indices, modularity and perturbations in quantum K-theory, Exact WKB methods in SU(2) $\mathrm{N_f} = 1$, Towards effective topological gauge theories on spectral curves, Topological orbifold models and quantum cohomology rings, Complete factorization of equations of motion in supersymmetric field theories, On the signature of certain intersection forms, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>sigma model with a twisted mass and superpotential: Central charges and solitons, 2d partition function in $\Omega$-background and vortex/instanton correspondence, Combinatorial description of jumps in spectral networks defined by quadratic differentials, Donaldson–Thomas Invariants and Wall-Crossing Formulas, Non-commutative Hodge structures, Topological-antitopological fusion and the quantum cohomology of Grassmannians, Wilson loop algebras and quantum K-theory for Grassmannians, Moduli spaces of Calabi-Yau $d$-folds as gravitational-chiral instantons, An Introduction to the Web-Based Formalism, Geometric classification of 4d $ \mathcal{N}=2 $ SCFTs, Emergence and correspondence for string theory black holes, On the BPS spectrum of the rank-1 Minahan-Nemeschansky theories, Mini-workshop: Quantization of complex symplectic varieties. Abstracts from the mini-workshop held October 2--8, 2022, On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry, On some Lie-theoretic solutions of the tt^*-Toda equations with integer Stokes data, The stranger things of symmetric product orbifold CFTs, Gauge/Bethe correspondence from quiver BPS algebras, Mixed moduli in 3d $\mathcal{N} = 4$ higher-genus quivers, Geometry and braiding of Stokes data; fission and wild character varieties, Conical Ricci-flat nearly para-Kähler manifolds, Notes on the hemisphere, Junctions of surface operators and categorification of quantum groups, Branes and the dynamics of QCD, Joyce-Song wall crossing as an asymptotic expansion, Serre dimension and stability conditions, CRYSTAL MELTING AND WALL CROSSING PHENOMENA, Good wild harmonic bundles and good filtered Higgs bundles, Mildly flavoring domain walls in $\mathrm{Sp} (N)$ SQCD, Swampland geometry and the gauge couplings, Examples of non-commutative Hodge structures, Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I, Kink scattering in a generalized Wess-Zumino model, SCALAR MODULI, WALL CROSSING AND PHENOMENOLOGICAL PREDICTIONS, Harmonic bundles and Toda lattices with opposite sign. II, CATEGORICAL TINKERTOYS FOR ${\mathcal N} = 2$ GAUGE THEORIES, Exact results for integrable asymptotically-free field theories, Discontinuous BPS spectra in $N=2$ SUSY QCD, Branes and the dynamics of QCD, $N=2$ supersymmetric kinks and real algebraic curves, CFT's from Calabi-Yau four-folds, More Arnold's $ \mathcal{N} = 2 $ superconformal gauge theories, Superstrings and topological strings at large N, Integrable many-body systems and gauge theories, Complete factorization of equations of motion in Wess-Zumino theory, Long range forces and supersymmetric bound states, Boundary rings and $N=2$ coset models, Homological classification of 4d $\mathcal{N} = 2$ QFT. Rank-1 revisited, BPS solutions for generalised Wess-Zumino models and their applications, A geometric unification of dualities, Intersoliton forces in the Wess-Zumino model, Four-dimensional wall-crossing via three-dimensional field theory, Conjectures on spectral numbers for upper triangular matrices and for singularities, Supersymmetric solitons, Quantizing a solitonic string, An Index Formula for Supersymmetric Quantum Mechanics, Isomonodromy aspects of the $tt^*$ equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics, The nonlinear Dirac equation in Bose–Einstein condensates: II. Relativistic soliton stability analysis, Why is Landau-Ginzburg link cohomology equivalent to Khovanov homology?, Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations, Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties, Exploring 5d BPS spectra with exponential networks, An infrared bootstrap of the Schur index with surface defects, Bound state transformation walls, Stokes matrices for the quantum differential equations of some Fano varieties, Distinguished Bases and Monodromy of Complex Hypersurface Singularities

Cites Work

On classification of \(N=2\) supersymmetric theories