How to query Elastic with Spring-data-elastic

First, there is not support for automatic fuzzy query generation, as far as the documentation tells

So we'll have to use custom repository methods additions.

Say your base repository is

@Repository
public interface UserRepository extends CrudRepository<UserEntity, Long>

You'll have to create a Custom repository interface to add you custom method (this is all standard Spring data, nothing particular)

public interface UserRepositoryCustom {
    public List<User> findFuzzyByLastNameAndFirstName(String firstName, String lastName);
}

And make your historic repo implement this interface, that is :

@Repository
public interface UserRepository extends CrudRepository<UserEntity, Long>, UserRepositoryCustom

Now, you'll need to implement your "custom" interface somehow. This is easy (once again see the manual, you have to respect naming schemes so that Spring can wire interfaces and implementations at run time):

public class UserRepositoryCustomImpl implements UserRepositoryCustom {
    @Autowired protected ElasticsearchTemplate elasticsearchTemplate;

    public List<User> findFuzzyByLastNameAndFirstName(String firstName, String lastName) {
        Criteria c = new Criteria("firstName").fuzzy(firstName).and(new Criteria("lastName").fuzzy(lastName));
        return elasticsearchTemplate.queryForList(new CriteriaQuery(c), CandidateEntity.class);
    }
}

Recompile, relaunch, and you should be able to have your repository do the fuzzy search like so.

Then again (see the questions comments), you might also want to define the query as a String and you wouldn't need custom implementations. This is up to you.