Coon amplitude equals 3d N=2 half-index of XYZ model with boundary conditions; IR flow gives Veneziano amplitude, and elliptic completion of q^ST yields a meromorphic positive version.
Mirror Symmetry
10 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We prove mirror symmetry for supersymmetric sigma models on Kahler manifolds in 1+1 dimensions. The proof involves establishing the equivalence of the gauged linear sigma model, embedded in a theory with an enlarged gauge symmetry, with a Landau-Ginzburg theory of Toda type. Standard R -> 1/R duality and dynamical generation of superpotential by vortices are crucial in the derivation. This provides not only a proof of mirror symmetry in the case of (local and global) Calabi-Yau manifolds, but also for sigma models on manifolds with positive first Chern class, including deformations of the action by holomorphic isometries.
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Existence of Maslov index 2 pseudo-holomorphic disks for isotoped monotone Lagrangians is established using a non-archimedean analytic disk potential invariant.
Constructs equivariant quantum Satake map for Grassmannians via Clifford algebra to derive recurrence relations for equivariant Gromov-Witten invariants and prove Graham positivity.
Neural network field theory extended with discrete topological labels recovers the BKT transition and bosonic string T-duality.
Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.
The open probability simplex is the base of dual SYZ Lagrangian torus fibrations on Berglund-Hübsch-Krawitz mirror pairs, proving the Kontsevich-Soibelman conjecture.
Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.
Derives a distributional real-line integral formula for abelian observables in A-twisted N=(2,2) theories on S², verifies it on the CP^{N-1} GLSM correlator, and uses hyperfunctions to equate it with contour integrals matching the Jeffrey-Kirwan prescription.
Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.
citing papers explorer
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Meromorphic amplitudes from 3-dimensional supersymmetry
Coon amplitude equals 3d N=2 half-index of XYZ model with boundary conditions; IR flow gives Veneziano amplitude, and elliptic completion of q^ST yields a meromorphic positive version.
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Existence of pseudo-holomorphic disks via non-archimedean disk potentials
Existence of Maslov index 2 pseudo-holomorphic disks for isotoped monotone Lagrangians is established using a non-archimedean analytic disk potential invariant.
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Equivariant Quantum Cohomology of Grassmannians via the Clifford algebra
Constructs equivariant quantum Satake map for Grassmannians via Clifford algebra to derive recurrence relations for equivariant Gromov-Witten invariants and prove Graham positivity.
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Topological Effects in Neural Network Field Theory
Neural network field theory extended with discrete topological labels recovers the BKT transition and bosonic string T-duality.
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Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists
Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.
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The Koopman--von Neumann--Landau--Ginzburg theory and a Proof of the Kontsevich--Soibelman Conjecture
The open probability simplex is the base of dual SYZ Lagrangian torus fibrations on Berglund-Hübsch-Krawitz mirror pairs, proving the Kontsevich-Soibelman conjecture.
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Dynamical Generation of the VY Superpotential in $N=1$ SYM: A Higher-Form Perspective
Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.
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Hyperfunctions in $A$-model Localization
Derives a distributional real-line integral formula for abelian observables in A-twisted N=(2,2) theories on S², verifies it on the CP^{N-1} GLSM correlator, and uses hyperfunctions to equate it with contour integrals matching the Jeffrey-Kirwan prescription.
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Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries
Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.
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