English

Chern-Simons Theory, Holography and Topological Strings

Algebraic Geometry 2025-05-16 v1 High Energy Physics - Theory

Abstract

In this note we present a brief overview of connections between Chern-Simons theory and topological strings. A prominent role in this link has been played by large N dualities and holography. We demystify this by explaining why the Kahler form should be viewed as dual to the field strength associated with a 3-form gauge potential, sourced by Lagrangian D-branes. We explain how this leads to the computation of topological string amplitudes in terms of topological vertex for toric Calabi-Yau threefolds. Furthermore, applications of topological strings to a conceptual derivation of Skein relations for link invariants as well as some of its physical applications to black hole physics are also reviewed.

Keywords

Cite

@article{arxiv.2505.09750,
  title  = {Chern-Simons Theory, Holography and Topological Strings},
  author = {Cumrun Vafa},
  journal= {arXiv preprint arXiv:2505.09750},
  year   = {2025}
}

Comments

Contribution to the AMS Bulletin in honor of James Simons

R2 v1 2026-06-28T23:33:38.574Z