The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere

被引：137

作者：

Kaelen, Johan

Qiu, Jian ^{[2
,3
]}

Zabzine, Maxim ^{[1
]}

机构：

[1] Uppsala Univ, Dept Phys & Astron, SE-75120 Uppsala, Sweden

[2] Ist Nazl Fis Nucl, I-50019 Sesto Fiorentino, Italy

[3] Dipartimento Fis, I-50019 Sesto Fiorentino, Italy

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 08期

关键词：

Supersymmetric gauge theory; Matrix Models; Field Theories in Higher Dimensions; 1/N Expansion; KILLING SPINORS;

D O I：

10.1007/JHEP08(2012)157

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Based on the construction by Hosomichi, Seong and Terashima we consider N = 1 supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory can be thought of as a deformation of the theory in flat space with deformation parameter r and this deformation preserves 8 supercharges. We calculate the full perturbative partition function as a function of r/g(YM)(2), where g(YM) is the Yang-Mills coupling, and the answer is given in terms of a matrix model. We perform the calculation using localization techniques. We also argue that in the large N-limit of this deformed 5D Yang-Mills theory this matrix model provides the leading contribution to the partition function and the rest is exponentially suppressed.

引用

页数：33