Abstract
Multifractals arise in various systems across nature whose scaling behavior is characterized by a continuous spectrum of multifractal exponents . In the context of Anderson transitions, the multifractality of critical wave functions is described by operators with scaling dimensions in a field-theory description of the transitions. The operators satisfy the so-called Abelian fusion expressed as a simple operator product expansion. Assuming conformal invariance and Abelian fusion, we use the conformal bootstrap framework to derive a constraint that implies that the multifractal spectrum (and its generalized form) must be quadratic in its arguments in any dimension .
- Received 20 June 2023
- Accepted 28 November 2023
DOI:https://doi.org/10.1103/PhysRevLett.131.266401
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