More on topological vertex formalism for 5-brane webs with O5-plane

Journal of High Energy Physics

Hirotaka Hayashi¹  Rui-Dong Zhu² 

[1] Department of Physics, School of Science, Tokai University, 4-1-1 Kitakaname, 259-1292, Hiratsuka-shi, Kanagawa, Japan;Institute for Advanced Study & School of Physical Science and Technology, Soochow University, 215006, Suzhou, China;School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin, Ireland;

关键词: p-branes;    Topological Strings;    Supersymmetry and Duality;    String Duality;   

DOI  :  10.1007/JHEP04(2021)292

来源: Springer

【 摘 要 】

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 G2 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.

【 授权许可】

CC BY