I am a new tenure-track faculty (just completed my first year). Recently, I realized that two groups of senior faculty members have been spreading rumors about me: one group walked around saying that I lied about the PhD program I graduated from (I never said such a thing); the other group walked around saying that I spoke very negatively about my colleagues to them (a faculty member in the group asked me to do very unreasonable things (cook for her, take care of her plants, book a restaurant for her) and so I had distanced myself from her).
I talked with my division chair. The advice is to "let all go" because there is nothing I can do; I can submit a petition in case I fail in my reappointment or tenure review because of the rumors.
However, I now understand why my chair and colleagues were very tough to me when I interacted with them. Any advice will be really appreciated.
By the way, I am in a very huge department — about 40 professors. From the first group — a person started the rumors; and from the other group — two people started them. However, as I heard, almost all professors in my department heard about them, especially since these three professors are very active and influential in my department.