Holomorphic CFTs and Topological Modular Forms

نویسندگان

چکیده

We use the theory of topological modular forms to constrain bosonic holomorphic CFTs, which can be viewed as (0, 1) SCFTs with trivial right-moving supersymmetric sector. A conjecture by Segal, Stolz and Teichner requires constant term partition function divisible specific integers determined central charge. verify this constraint in large classes physical examples, rule out existence an infinite set extremal including those charges $$c=48, 72, 96$$ 120.

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2023

ISSN: ['0010-3616', '1432-0916']

DOI: https://doi.org/10.1007/s00220-023-04639-3