4 problems

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The E-string non-spin twisting conjecture
A four-manifold $M_4$ may be non-spin, so its spinor bundles $S^+$ and $S^-$ are obstructed by the diagonal $\mathbb{Z}_2$ flux in $SU(2)_+\times SU(2)_-$ . In the E-string theory,…
Conjecturesolvede-string-theory four-manifolds topological-twistsarXiv posted 2 days ago
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The quiver realization of the rank-one E-string theory on a genus- $g$ surface
Consider the quiver obtained by gluing $g-1$ two-punctured tori in a circle, equivalently using the Seiberg-dual frame of an $SU(2)$ gauge node with three flavors to obtain the qui…
Conjectureopencompactification e-string-theory supersymmetric-gauge-theoryarXiv posted 2 days ago
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The classical-intersection-data conjecture for solving blowup equations
Consider the blowup equations for a local Calabi–Yau threefold, and take as input data only the classical intersection numbers of the Calabi–Yau geometry. Classical-intersection-da…
Conjectureopenblowup-equations e-string-theory topological-stringsarXiv posted 2 days ago
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The perturbative free-energy conjecture for the E-string
Let $F^{\text{pert}}$ denote the perturbative part of the E-string free energy, and let $\epsilon_1$ , $\epsilon_2$ , and $\phi$ be the deformation and Coulomb parameters appearing i…
Conjectureopene-string-theory topological-string-theoryarXiv posted 2 days ago

The E-string non-spin twisting conjecture