Geometry of an N=4 twisted string

Stefano Bellucci, Alexei Deriglazov, Anton Galajinsky

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We compare N=2 strings and N=4 topological strings within the framework of the sigma model approach. Being classically equivalent on a flat background, the theories are shown to lead to different geometries when put in a curved space. In contrast with the well studied Kahler geometry characterizing the former case, in the latter case a manifold has to admit a covariantly constant holomorphic two-form in order to support an N =4 twisted supersymmetry. This restricts the holonomy group to be a subgroup of SU(1,1) and leads to a Ricci-flat manifold. We speculate that the N=4 topological formalism is an appropriate framework to smooth down ultraviolet divergences intrinsic to the N=2 theory.

Original languageEnglish
Article number104026
JournalPhysical Review D
Issue number10
Publication statusPublished - 2002

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

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