English

Topological Vertex/anti-Vertex and Supergroup Gauge Theory

High Energy Physics - Theory 2020-05-20 v2

Abstract

We propose a new vertex formalism, called anti-refined topological vertex (anti-vertex for short), to compute the generalized topological string amplitude, which gives rise to the supergroup gauge theory partition function. We show the one-to-many correspondence between the gauge theory and the Calabi--Yau geometry, which is peculiar to the supergroup theory, and the relation between the ordinary vertex formalism and the vertex/anti-vertex formalism through the analytic continuation.

Keywords

Cite

@article{arxiv.2001.05735,
  title  = {Topological Vertex/anti-Vertex and Supergroup Gauge Theory},
  author = {Taro Kimura and Yuji Sugimoto},
  journal= {arXiv preprint arXiv:2001.05735},
  year   = {2020}
}

Comments

27 pages, 13 figures; v2: typos are corrected, published in JHEP