Republic Flats in Research Triangle Park. Republic Flats offers brand new 1, 2 and 3 bedroom luxury apartments with exceptional features and unmatched amenities, including stainless steel appliances, granite countertops, a modern pool and 24-hour fitness center. Since we're located on Davis Drive between I-40 and Triangle Expressway, everything you'll need is just minutes away: the Raleigh-Durham International Airport, dozens of restaurants like Mez Contemporary Mexican and Page Road Grill, Harris Teeter and Sam's Club for shopping, and major employers like the EPA and RTI International.