Presently, I am writing to potential PhD guides in US universities. There are two professors from the same department who work on topics that cannot be considered closely related, but I would be happy to work under either of them.
I have already written to one of them, who has asked me to go ahead with the application process. I am now wondering whether I should mention in my mail that this (contact with first prof) has already been established, while still conveying that I am adequately interested.
Upon a positive reply from the second prof, what would be the best way to talk about both profs in my Statement of Purpose? I want to keep both options open, while not being rejected because the admissions office/the professors thought I wasn't specific enough with my application.