These factors cover the integrity, confidentiality, and availability components of information system security.
Integrity is important in access control as it relates to ensuring only authorized subjects can make changes to objects.
Authenticity is different from authentication. Authenticity pertains to something being authentic, not necessarily having a direct correlation to access control.
Confidentiality is pertinent to access control in that the access to sensitive information is controlled to protect confidentiality.
vailability is protected by access controls in that if an attacket attempts to disrupt availability they would first need access.
Source: KRUTZ, Ronald L. & VINES, Russel D., The CISSP Prep Guide: Mastering the Ten Domains of Computer Security, 2001, John Wiley & Sons, Page 49.