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Non-Lagrangian Theories from Brane Junctions

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arxiv 1310.3841 v2 pith:XEDNI66N submitted 2013-10-14 hep-th

Ling Bao , Vladimir Mitev , Elli Pomoni , Masato Taki , Futoshi Yagi This is my paper · ORCID
classification hep-th
keywords theoriesbranejunctionsfunctionsproposedsuperconformalableagtw
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In this article we use 5-brane junctions to study the 5D T_N SCFTs corresponding to the 5D N=1 uplift of the 4D N=2 strongly coupled gauge theories, which are obtained by compactifying N M5 branes on a sphere with three full punctures. Even though these theories have no Lagrangian description, by using the 5-brane junctions proposed by Benini, Benvenuti and Tachikawa, we are able to derive their Seiberg-Witten curves and Nekrasov partition functions. We cross-check our results with the 5D superconformal index proposed by Kim, Kim and Lee. Through the AGTW correspondence, we discuss the relations between 5D superconformal indices and n-point functions of the q-deformed W_N Toda theories.

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Cited by 4 Pith papers

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  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. BPS Invariants for Generalized Toric Calabi-Yau Threefolds

    hep-th 2026-07 conditional novelty 6.0 of 10

    Gopakumar–Vafa invariants are transported across Hanany–Witten transitions after removing a universal parallel-brane sector, giving first-time high-degree invariants for local dP4.

  3. 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).

  4. Towards OSV in AdS

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.

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