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5d E_n Seiberg-Witten curve via toric-like diagram

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arxiv 1411.7903 v4 pith:6SIBY2SJ submitted 2014-11-28 hep-th

5d E_n Seiberg-Witten curve via toric-like diagram

classification hep-th
keywords seiberg-wittencurvediagramcomputecurvesgaugetheorytoric-like
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider 5d Sp(1) gauge theory with $E_{N_f+1}$ global symmetries based on toric(-like) diagram constructed from (p,q)-web with 7-branes. We propose a systematic procedure to compute the Seiberg-Witten curve for generic toric-like diagram. For $N_f=6,7$ flavors, we explicitly compute the Seiberg-Witten curves for 5d Sp(1) gauge theory, and show that these Seiberg-Witten curves agree with already known $E_{7,8}$ results. We also discuss a generalization of the Seiberg-Witten curve to rank-N cases.

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Cited by 2 Pith papers

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

  1. Factorized Quantum Curves and Minuscule Vertices in 3D Duality Cascades with FI Parameters

    hep-th 2026-06 unverdicted novelty 6.0

    Factorized quantum curves extend to FI parameters in 3D duality cascades, realizing Voronoi polytope vertices of exceptional root lattices as extremal brane configurations.

  2. Factorized Quantum Curves and Minuscule Vertices in 3D Duality Cascades with FI Parameters

    hep-th 2026-06 unverdicted novelty 6.0

    Vertices of fundamental domains for del Pezzo quantum curves with FI parameters are realized as factorized curves from 5-branes dressed by FI parameters, matching minuscule weights.