Currently, eleven states plus the District of Columbia allow same sex marriage.

Louisiana

Louisiana Marriage Laws: What the State Constitution says…

A.  A marriage that is valid in the state where contracted, or in the state where the parties were first domiciled as husband and wife, shall be treated as a valid marriage unless to do so would violate a strong public policy of the state whose law is applicable to the particular issue under Article 3519.

B.  A purported marriage between persons of the same sex violates a strong public policy of the state of Louisiana and such a marriage contracted in another state shall not be recognized in this state for any purpose, including the assertion of any right or claim as a result of the purported marriage.

Louisiana CC Art 3520

Source: Louisiana State Constitution