Who is currently serving as a U.S. Representative for Connecticut?

The correct answer is Jim Himes, who is currently serving as a U.S. Representative for Connecticut. Himes has represented Connecticut's 4th congressional district since 2009, and he is affiliated with the Democratic Party. His role as a U.S. Representative involves advocating for the interests of his constituents in Congress, participating in legislative processes, and addressing national issues both locally and on a larger scale.

The other individuals listed also have significant roles in Connecticut's political landscape, but they do not serve as U.S. Representatives. Chris Murphy and Richard Blumenthal are serving as U.S. Senators, while Joe Courtney represents Connecticut's 2nd congressional district in the House of Representatives, thus making the other options incorrect in the context of the question.