3 problems
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Calabi–Yau ground-state conjecture for four-dimensional superstring theory
Consider superstring theory with ground states, including the ground state leading to ten-dimensional space-time, and consider compactification on Calabi–Yau threefolds as a possib…
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Translation-invariant ground-state conjecture for Calabi–Yau compactifications
In superstring theory, consider compactification on a Calabi–Yau 3-fold, and let the translation group contain a four-dimensional subgroup corresponding to the uncompactified direc…
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Ooguri's non-negativity conjecture for K3 elliptic-genus coefficients
The K3 elliptic genus has a character expansion … Here denotes the coefficient associated with the character in this expansion. Ooguri's…