At least one Republican, Richard Gonzalez, is running, in that race. Fred White (the most conservative candidate for Chicago mayor in 2011) lives in that district. I emailed him and asked him to run.
I just found that Gonzalez is running as a Democrat. No Republican is in that race, yet. I thought that he was probably a Republican because he and I have 69 mutual facebook friends, including Bill Brady, Steve Kim, David Harris, Chris Nybo, and Randy Ramey.