Open string field theory with stubs

A bstract There are various reasons why adding stubs to the vertices of open string field theory (OSFT) is interesting: can not only tame certain singularities and make more well-behaved, but also new shares a lot similarities with closed theory, which helps improve our understanding its structure possible solutions. In this paper we explore two natural ways implementing into framework OSFT, resulting in an ∞ -algebra giving rise infinitely many vertices. We find distinct consistent actions, both generated by redefinition, interestingly sharing same equations motion. last section illustrate their relationship physical meaning applying construction nearly marginal