
TL;DR
This paper proves the integrality of certain quantities in rational conformal field theory and confirms a conjecture, highlighting unique features when the modular matrix T has odd order.
Contribution
It establishes the integrality of the $Y_{ab}^c$ in RCFT and proves a conjecture by Borisov-Halpern-Schweigert, with general applicability to theories with odd order T.
Findings
$Y_{ab}^c$ are integers in RCFT
Confirmed Borisov-Halpern-Schweigert conjecture
Identified special features for odd order T
Abstract
We show that the of Pradisi-Sagnotti-Stanev are indeed integers, and we prove a conjecture of Borisov-Halpern-Schweigert. We indicate some of the special features which arise when the order of the modular matrix T is odd. Our arguments are general, applying to arbitrary ``parent'' RCFT assuming only that T has odd order.
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