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Topological Field Theory Amplitudes for $A_{N-1}$ Fibration

High Energy Physics - Theory 2021-09-15 v2

Abstract

We study the partition function N=1{\cal N}=1 5D U(N)U(N) gauge theory with gg adjoint hypermultiplets and show that for massless adjoint hypermultiplets it is equal to the partition function of a two dimensional topological field on a genus gg Riemann surface. We describe the topological field theory by its amplitudes associated with cap, propagator and pair of pants. These basic amplitudes are open topological string amplitudes associated with certain Calabi-Yau threefolds in the presence of Lagrangian branes.

Keywords

Cite

@article{arxiv.1507.02662,
  title  = {Topological Field Theory Amplitudes for $A_{N-1}$ Fibration},
  author = {Amer Iqbal and Ahsan Z. Khan and Babar A. Qureshi and Khurram Shabbir and Ali Shehper},
  journal= {arXiv preprint arXiv:1507.02662},
  year   = {2021}
}

Comments

24 pages, clarifying remarks and references added