More on topological vertex formalism for 5-brane webs with O5-plane
| Autor: | Hirotaka Hayashi, Rui-Dong Zhu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Vertex (graph theory) Nuclear and High Energy Physics FOS: Physical sciences Topological Strings QC770-798 Topology 01 natural sciences High Energy Physics::Theory Intersection Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences Gauge theory 010306 general physics Mathematical Physics Physics 010308 nuclear & particles physics Plane (geometry) Computer Science::Information Retrieval Operator (physics) Vertex function Mathematical Physics (math-ph) Partition function (mathematics) p-branes High Energy Physics - Theory (hep-th) Supersymmetry and Duality Brane String Duality |
| Zdroj: | Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-53 (2021) Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| Popis: | 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 arXiv:1709.01928. 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. 41+12 pages, minor corrections in v2 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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