Notes on Orientifolds of Rational Conformal Field Theories
Ilka Brunner, Kentaro Hori
TL;DR
This paper reviews and develops methods for constructing crosscap states in rational conformal field theories, focusing on parity symmetries, with applications to abelian orbifolds, rational U(1), and parafermion systems.
Contribution
It introduces a general method for constructing crosscap states in abelian orbifold models and explores their geometrical interpretation in specific rational CFTs.
Findings
Constructed crosscap states for abelian orbifolds.
Applied methods to rational U(1) and parafermion models.
Provided geometrical insights into parity symmetries.
Abstract
We review and develop the construction of crosscap states associated with parity symmetries in rational conformal field theories. A general method to construct crosscap states in abelian orbifold models is presented. It is then applied to rational U(1) and parafermion systems, where in addition we study the geometrical interpretation of the corresponding parities.
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