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5-brane webs for 5d \( \mathcal{N} \) = 1 G2 gauge theories

  • Hirotaka Hayashi
  • Sung-Soo Kim
  • Kimyeong Lee
  • Futoshi Yagi
Open Access
Regular Article - Theoretical Physics

Abstract

We propose 5-brane webs for 5d \( \mathcal{N} \) = 1 G2 gauge theories. From a Higgsing of the SO(7) gauge theory with a hypermultiplet in the spinor representation, we construct two types of 5-brane web configurations for the pure G2 gauge theory using an O5-plane or an \( \tilde{\mathrm{O}5} \)-plane. Adding flavors to the 5-brane web for the pure G2 gauge theory is also discussed. Based on the obtained 5-brane webs, we compute the partition functions for the 5d G2 gauge theories using the recently suggested topological vertex formulation with an O5-plane, and we find agreement with known results.

Keywords

Brane Dynamics in Gauge Theories Conformal Field Models in String Theory Field Theories in Higher Dimensions 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Department of Physics, School of ScienceTokai UniversityHiratsuka-shiJapan
  2. 2.School of PhysicsUniversity of Electronic Science and Technology of ChinaChengduChina
  3. 3.Institute of Fundamental and Frontier SciencesUniversity of Electronic Science and Technology of ChinaChengduChina
  4. 4.School of PhysicsKorea Institute for Advanced StudySeoulKorea
  5. 5.Department of PhysicsTechnion — Israel Institute of TechnologyHaifaIsrael

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