Yes, we are slavs and a part of the Slavdom. During the periods of first ( 681-1018) and second (1197-1396) the bulgarian state was a center of the Slavic world in Eastern Europe.
By te genetic stuides which results were made public in the end of 2011 we are slavs with thracian element. Bulgarian slavs are the dacian slavs and in the creating of the bulgarian people there are many slavic tribes: … I'll post a map ;D

Around the tribe of "севери" were situated "the seven slavic tribes"