English

Superstrings and Topological Strings at Large N

High Energy Physics - Theory 2015-06-25 v2

Abstract

We embed the large N Chern-Simons/topological string duality in ordinary superstrings. This corresponds to a large NN duality between generalized gauge systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on non-compact Calabi-Yau manifolds with certain fluxes turned on. We also show that in a particular limit of the N=1 gauge theory system, certain superpotential terms in the N=1 system (including deformations if spacetime is non-commutative) are captured to all orders in 1/N by the amplitudes of non-critical bosonic strings propagating on a circle with self-dual radius. We also consider D-brane/anti-D-brane system wrapped over vanishing cycles of compact Calabi-Yau manifolds and argue that at large NN they induce a shift in the background to a topologically distinct Calabi-Yau, which we identify as the ground state system of the Brane/anti-Brane system.

Keywords

Cite

@article{arxiv.hep-th/0008142,
  title  = {Superstrings and Topological Strings at Large N},
  author = {Cumrun Vafa},
  journal= {arXiv preprint arXiv:hep-th/0008142},
  year   = {2015}
}

Comments

30 pages, some minor clarifications added