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In this paper, we investigate localization of a free massless $q-$form bulkfield on thin and thick $AdS_{p+1}$ branes with codimension one. It is foundthat the zero mode of the $q-$form field with $q>(p+2)/2$ can be localized onthe thin negative tension brane, which is different from the flat brane casegiven in [JHEP 10 (2012) 060]. For the thick $AdS_{p+1}$ branes, the $q-$formfield with $q>(p+2)/2$ also has a localized zero mode under some conditions.Furthermore, we find that there are massive bound KK modes of the $q-$formfield, which are localized on this type $p-$branes.

Localization of $q-$form fields on $AdS_{p+1}$ branes