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Recently introduced connections between quantum codes and Narain CFTs provide a simple ansatz to express a modular-invariant function $Z(\tau,\bar \tau)$ in terms of a multivariate polynomial satisfying certain additional properties.
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A. Dymarsky and A. Shapere, Solutions of modular bootstrap constraints from quantum codes , Physical Review Letters 126
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A. Dymarsky and A. Sharon, Non-rational narain cfts from codes over f4 , Journal of High Energy Physics 2021
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2022
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S. Yahagi, Narain CFTs and error-correcting codes on finite fields , Journal of High Energy Physics 2022
2022
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