In Russian, бремя (bremya), "burden" (our translation), is the load carried on the shoulders. After the duel, Kirillov tells Stavrogin that he thought Stavrogin himself was seeking the бремя, and that without carrying it there is no merit. Karmazinov tells Pyotr that, for the Russian, honor is only a лишнее бремя, one burden too many, and that the people are dragged along faster by the right to dishonor.
Where It Appears
Quotes
I thought you yourself were seeking the burden.
Part Two: The Night of the Creditors, Kirillov
The whole essence of the Russian revolutionary idea lies in the denial of honor. [...] For the Russian, honor is only one more burden. And it has always been a burden, throughout its entire history. It is by the open "right to dishonor" that he can be dragged along most quickly.