2018/01/31 by Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge anomaly #Gauge theory #Hamiltonian lattice gauge theory #Homotopy and Cohomology in Algebraic Topology #Lattice gauge theory #Noncommutative and Quantum Gravity Theories #Quantum gauge theory #Spinor #Supersymmetric gauge theory #hep-th
paper · pdf · doi:10.1007/jhep03(2018)125
published as JHEP03(2018)125 · v1: 38 pages, 32 figures, v2: published version
openalex created_date 2018/01/26 · openalex publication_date 2018/03/01 · arxiv created 2018/03/21 · arxiv updated 2018/03/22 · openalex updated_date 2026/08/06
A bstract We propose 5-brane webs for 5d N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 G 2 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 G 2 gauge theory using an O5-plane or an O5 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mrow> <mml:mi>O</mml:mi> <mml:mn>5</mml:mn> </mml:mrow> <mml:mo>˜</mml:mo> </mml:mover> </mml:math> -plane. Adding flavors to the 5-brane web for the pure G 2 gauge theory is also discussed. Based on the obtained 5-brane webs, we compute the partition functions for the 5d G 2 gauge theories using the recently suggested topological vertex formulation with an O5-plane, and we find agreement with known results.