Abstract
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.
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Kim, SS., Wei, XY. Refined topological vertex with ON-planes. J. High Energ. Phys. 2022, 6 (2022). https://doi.org/10.1007/JHEP08(2022)006
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DOI: https://doi.org/10.1007/JHEP08(2022)006