Ethnic Identifies are based on Social Groups, while racial identity is based upon Genetic groups.
These are distinctive as Ethnicity is more of a social construct e.g. English being an ethnicity or Indian being ethnicity.
However, racial groups are based on biology and genetic backgrounds. For example, Jews of Israel are often considered an ethnicity but not a race.
This is because they form the same ethnicity but biologically they all have variations as some are from Europe, some from Africa and some from as far away as India.