2017/03/31 by Kantaro Ohmori, Yuji Okawa · 19 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Feynman diagram #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Propagator #Pure mathematics #Quartic function #Riemann surface #String field theory #String theory #Superstring theory #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep04(2018)035
published in Journal of High Energy Physics 2018(4) (Springer Nature) · 60 pages, 3 figures; v2: minor corrections and references added; v3: a proof that the quartic vertex is unambiguously defined for general off-shell states added in appendix A.5, version published in JHEP
openalex publication_date 2018/04/01 · arxiv created 2018/04/11 · arxiv updated 2018/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We present a new approach to formulating open superstring field theory based on the covering of the supermoduli space of super-Riemann surfaces and explicitly construct a gauge-invariant action in the Neveu-Schwarz sector up to quartic interactions. The cubic interaction takes a form of an integral over an odd modulus of disks with three punctures and the associated ghost is inserted. The quartic interaction takes a form of an integral over one even modulus and two odd moduli, and it can be interpreted as the integral over the region of the supermoduli space of disks with four punctures which is not covered by Feynman diagrams with two cubic vertices and one propagator. As our approach is based on the covering of the supermoduli space, the resulting theory naturally realizes an A ∞ structure, and the two-string product and the three-string product used in defining the cubic and quartic interactions are constructed to satisfy the A ∞ relations to this order.