General:
* Violation: This is a broad term encompassing any act of breaking a rule, law, or agreement.
* Infringement: This emphasizes the breaking of a right or privilege.
* Transgression: This implies a moral or ethical violation.
* Contravention: This emphasizes the act of going against an agreement or rule.
Specific to a specific type of breach:
* Betrayal: For a breach of trust.
* Disruption: For a breach of peace or order.
* Compromise: For a breach of security or confidentiality.
* Disregard: For a breach of respect or consideration.
The best abstract noun to use will depend on the specific context and the type of breach being referred to.