Mayor Thomas M. Menino’s ­administration is moving to give public funds to the developers of a luxury residential, office, and retail complex next to the TD Garden.

Boston officials on Thursday ­acknowledged that discussions are underway to provide a tax break or other subsidy to the massive Lovejoy Wharf complex. But even though the Boston Redevelopment Authority ­approved the project last month, and granted a designation to make it eligible for public funds, the Menino ­administration would not provide ­details on the type or amount of assistance under consideration.