2020/12/31 by Hirotaka Hayashi, Rui-Dong Zhu
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Formalism (music) #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Topology (electrical circuits) #Vertex (graph theory) #Vertex function #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep04(2021)292
published as JHEP04(2021)292 · 41+12 pages, minor corrections in v2
openalex created_date 2021/01/05 · openalex publication_date 2021/04/01 · arxiv created 2021/05/12 · arxiv updated 2021/05/13 · openalex updated_date 2026/08/06
A bstract We propose a concrete form of a vertex function, which we call O-vertex, for the intersection between an O5-plane and a 5-brane in the topological vertex formalism, as an extension of the work of [1]. Using the O-vertex it is possible to compute the Nekrasov partition functions of 5d theories realized on any 5-brane web diagrams with O5-planes. We apply our proposal to 5-brane webs with an O5-plane and compute the partition functions of pure SO( N ) gauge theories and the pure G 2 gauge theory. The obtained results agree with the results known in the literature. We also compute the partition function of the pure SU(3) gauge theory with the Chern-Simons level 9. At the end we rewrite the O-vertex in a form of a vertex operator.