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Refined topological vertex with ON-planes

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arxiv 2201.12264 v2 pith:KE2DAPP5 submitted 2022-01-28 hep-th

classification hep-th
keywords on-planesvertexbranerefinedrealizedresultstheoriestheory
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $\mathcal{N}=1$ 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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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. O-vertex, O7$^+$-plane, and Topological Vertex

    hep-th 2024-12 conditional novelty 7.0 of 10

    A new O7+ topological vertex formalism, based on O7+ ~ Z2 + 4 D7, reproduces the SO(2N) instanton partition function previously computed from O5-plane webs.

  2. Thermodynamic limit for SO(2N) gauge theories with spinors/conjugate spinors

    hep-th 2026-07 conditional novelty 6.0 of 10

    The distinction between spinor and conjugate spinor matter in 5D SO(2N) gauge theories manifests as different boundary conditions on the Seiberg-Witten curve at O5-plane positions (w=±1).

  3. A Bound on 3d Mirror Pairs

    hep-th 2024-11 conditional novelty 6.0 of 10

    New 3d mirror pairs are proposed for ABCD-type quivers with mixed U/SU nodes, and it is conjectured that unitary quivers containing exceptional affine Dynkin subquivers have no Lagrangian quiver mirror.

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