5 problems
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Kaneko–Koike annihilation conjecture for extremal quasimodular forms
Let be the normalized extremal quasimodular form of weight and depth , and let denote the differential operator used in the source. Kaneko and K…
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Surface defects as non-vacuum modules conjecture
Let be one of the class- theories considered in the paper, let be its associated vertex operator algebra, and consider the Schu…
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Completeness conjecture for the modular differential equation solutions
Let be the Schur index, let be the second non-logarithmic solution, and let denote th…
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Conjecture on residue characters of modules
Let for be the four residues arising from the contour integral for the fully flavored Schur index of the four-punctured sphere, and let…
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MLDE vector-valuedness conjecture for the character of
Let , let be the vertex (super)algebra considered in the paper, and write and f…