Refined topological vertex with ON-planes

Kim, Sung-Soo; Wei, Xing-Yue

doi:10.1007/JHEP08(2022)006

Refined topological vertex with ON-planes

Sung-Soo Kim
(
- UESTC, Chengdu
)
,
Xing-Yue Wei
(
- UESTC, Chengdu
)

Jan 28, 2022

49 pages

Published in:

JHEP 08 (2022) 006

Published: Aug 1, 2022

e-Print:

2201.12264 [hep-th]

DOI:

10.1007/JHEP08(2022)006

View in:

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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

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