Localisation on Sasaki-Einstein manifolds from holomorphic functions on the cone

被引：11

作者：

Schmude, Johannes ^{[1
]}

机构：

[1] Univ Oviedo, Dept Phys, Avda Calvo Sotelo 18, Oviedo 33007, Spain

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 01期

关键词：

Supersymmetric gauge theory; Nonperturbative Effects; Field Theories in Higher Dimensions; Differential and Algebraic Geometry; GAUGE-THEORIES; S-2;

D O I：

10.1007/JHEP01(2015)119

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：

We study super Yang-Mills theories on five-dimensional Sasaki-Einstein manifolds. Using localisation techniques, we find that the contribution from the vector multiplet to the perturbative partition function can be calculated by counting holomorphic functions on the associated Calabi-Yau cone. This observation allows us to use standard techniques developed in the context of quiver gauge theories to obtain explicit results for a number of examples; namely S-5, T-1,T-1, Y-7,Y-3, Y-2,Y-1, Y-2,Y-0, and Y-4,Y-0. We find complete agreement with previous results obtained by Qiu and Zabzine using equivariant indices except for the orbifold limits Y-p,Y-0 with p > 1.

引用

页数：17