Refined topological vertex with ON-planes

Jan 28, 2022
49 pages
Published in:
  • JHEP 08 (2022) 006
  • Published: Aug 1, 2022
e-Print:

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Abstract: (Springer)
We propose refined topological vertex formalism for 5-brane systems with ON-planes by introducing a new vertex associated with reflection over an ON-plane, which gives rise to new vertex and edge factors. We test our proposal against various 5d 𝒩 = 1 gauge theories which can be realized as 5-brane webs with ON-planes, which include D-type quiver theories. In particular, we compute the refined partition functions for 6d E-string theory on a circle as well as 5d SU(3) theory at the Chern-Simons level 9, which can be realized as 5-brane webs with two ON-planes. Our results completely agree with the known results.
Note:
  • v1: 49 pages, 20 figures; v2: published version
  • Brane Dynamics in Gauge Theories
  • Field Theories in Higher Dimensions
  • Supersymmetric Gauge Theory
  • vertex: topological
  • gauge field theory: SU(3)
  • supersymmetry: 1
  • D-brane: 5
  • dimension: 5