What aspect of control theory refers to the connections and attachments one has with family and peers?

The concept encapsulated by the correct choice revolves around the idea of how social bonds influence behavior. In control theory, "attachment" specifically refers to the emotional and social ties individuals have with family and peers. These connections are pivotal because they foster a sense of belonging and responsibility, making individuals less likely to engage in deviant behaviors.

When people feel connected to family and peers, they are more likely to internalize societal norms and values, which act as informal controls over their actions. The strength of these attachments can greatly affect a person's choices and behaviors, suggesting that positive relationships can serve as a protective factor against engaging in delinquency or criminal activity.

In contrast, the other aspects mentioned, like commitment, involvement, and belief, pertain to different dimensions of how external factors can control behavior. Commitment relates to the stakes individuals have in conforming to societal norms, involvement pertains to how participation in conventional activities can limit opportunities for deviance, and belief encompasses the acceptance of societal rules and values. However, it is the personal connections highlighted by attachment that specifically speak to the influence of one's close relationships on behavior.