Fame and Rank

Does one accumulate fame and rank for only one individual character, or does it apply to the whole account. By that i mean, if i play in the tombs with a pvp character, will my role play chars get that fame too? And if i delete that pvp char, and make a new one, will i be back to zero fame, or will it carry over to the new char?

Thanks for any help

Fame and rank (like faction) apply to the entire account, so your PvE characters will be able to show off the special emotes should you accumulate enough fame/rank.