Crosscap States for Orientifolds of Euclidean AdS_3

TL;DR

This paper constructs and analyzes crosscap states for orientifolds of Euclidean AdS_3, confirming their consistency with classical results and examining open string spectra through amplitude calculations.

Contribution

It introduces explicit crosscap states for Euclidean AdS_3 orientifolds and compares their spectral properties with classical and brane-mirror configurations.

Findings

Crosscap states match classical orientifold analysis

Spectral densities derived from Möbius strip amplitudes

Klein bottle amplitudes computed and analyzed

Abstract

Crosscap states for orientifolds of Euclidean AdS_3 are constructed. We show that our crosscap states describe the same orientifolds which were obtained by the classical analysis. The spectral density of open strings in the system with orientifold can be read from the M"obius strip amplitudes and it is compared to that of the open strings stretched between branes and their mirrors. We also compute the Klein bottle amplitudes.