"Second man" is often used to describe the person who ranks just below the leader in a particular organization or group. However, there are many synonyms that can be used instead of "second man," depending on the context and the level of formality. Some possible alternatives include "vice president," "deputy," "assistant," "lieutenant," "second-in-command," and "right-hand man/woman." These terms can convey slightly different shades of meaning or emphasis, such as highlighting the person's role as a backup or support to the leader or emphasizing their authority to act on behalf of the leader in certain situations. Choosing the right synonym can help to convey the appropriate tone and level of respect in any given situation.