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- W4310222425 abstract "We utilize the integrality conjecture to show that the torus partition function of a fermionic rational conformal theory in the Ramond-Ramond sector becomes a constant when the bound $h^R ge frac{c}{24}$ is satisfied, where $h^R$ denote the conformal weights of Ramond states and $c$ is the central charge. The constant-valued Ramond-Ramond partition function strongly suggests the presence of supersymmetry unless a given theory has free fermions. The lower bound $h^R ge frac{c}{24}$ can then be identified with the unitarity bound of $mathcal{N}=1$ supersymmetry. We thus propose that, for rational CFTs without free fermions, $(h^R-c/24) geq 0$ can imply supersymmetry." @default.
- W4310222425 created "2022-11-30" @default.
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- W4310222425 date "2021-12-28" @default.
- W4310222425 modified "2023-09-30" @default.
- W4310222425 title "Can the energy bound $E geq 0$ imply supersymmetry?" @default.
- W4310222425 doi "https://doi.org/10.48550/arxiv.2112.14130" @default.
- W4310222425 hasPublicationYear "2021" @default.
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