Superconformal Chern-Simons theories from del Pezzo geometries

Journal of High Energy Physics

Katsuya Yano¹  Sanefumi Moriyama¹  Tomoki Nosaka² 

[1] Department of Physics, Graduate School of Science, Osaka City University;Korea Institute for Advanced Study;

关键词: Chern-Simons Theories;    Matrix Models;    Nonperturbative Effects;    Topological Strings;   

DOI  :  10.1007/JHEP11(2017)089

来源: DOAJ

【 摘 要 】

Abstract We present an explicit expression for the grand potential of the U(N )3 superconformal Chern-Simons theory with the Chern-Simons levels being (k, 0, −k). From the viewpoint of the Newton polygon, it is expected that the grand potential is given by the free energy of the topological string theory on the local D 5 del Pezzo geometry, though the explicit identification was a puzzle for years. We show how the expectation is realized explicitly. As a bonus, we can also study the ℤ2 $$ {\mathbb{Z}}_2 $$ orbifold of this theory and find the grand potential is now given in terms of the local E 7 del Pezzo geometry.

【 授权许可】

Unknown