Title of article :
Homotopy algebra morphism and geometry of classical string field theories Original Research Article
Author/Authors :
Hiroshige Kajiura، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
We discuss general properties of classical string field theories with symmetric vertices in the context of deformation theory. For a given conformal background, there are many string field theories corresponding to different decomposition of moduli space of Riemann surfaces. It is shown that any classical open string field theories on a fixed conformal background are A∞-quasi-isomorphic to each other. This indicates that they have isomorphic moduli space of classical solutions. The minimal model theorem in A∞-algebras plays a key role in these results. Its natural and geometric realization on formal supermanifolds is also given. The same results hold for classical closed string field theories, whose algebraic structures are governed by L∞-algebras.
Journal title :
Nuclear Physics B
Journal title :
Nuclear Physics B