Characters and modular properties of permutation orbifolds
Peter Bantay
TL;DR
This paper provides explicit formulas for genus one characters and modular transformations of permutation orbifolds in Rational Conformal Field Theories, linking them to covering surface theory.
Contribution
It introduces new explicit formulas for characters and modular properties of permutation orbifolds in RCFTs, connecting them to covering surface theory.
Findings
Derived explicit formulas for genus one characters.
Established the relation between permutation orbifolds and covering surfaces.
Analyzed modular transformation properties of these orbifolds.
Abstract
Explicit formulae describing the genus one characters and modular transformation properties of permutation orbifolds of arbitrary Rational Conformal Field Theories are presented, and their relation to the theory of covering surfaces is investigated.
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