* Attachment: This is the most general and direct abstract noun for "attach." It refers to the state of being attached or the act of attaching.
* Bond: This implies a stronger, more emotional connection or relationship, often between people.
* Connection: This focuses on the link or relationship between two things, often physical or abstract.
* Affiliation: This implies a formal connection or membership, usually to an organization or group.
* Affinity: This refers to a natural attraction or connection, often based on shared interests or values.
Ultimately, the best abstract noun for "attach" will depend on the specific situation and the type of attachment you're trying to describe.