The Hilbert series of adjoint SQCD

被引：48

作者：

Hanany, Amihay ^{[1
]}

Mekareeya, Noppadol ^{[1
]}

Torri, Giuseppe ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Theoret Phys Grp, London SW7 2AZ, England

来源：

NUCLEAR PHYSICS B | 2010年 / 825卷 / 1-2期

关键词：

SUPERSYMMETRIC GAUGE-THEORIES; COUNTING BPS OPERATORS; DUALITY; RINGS; N=1;

D O I：

10.1016/j.nuclphysb.2009.09.016

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 use the plethystic exponential and the Molien-Weyl formula to compute the Hilbert series (generating functions), which count gauge invariant operators in N = 1 supersymmetric SU(N-c), Sp(N-c), SO(N-c) and G(2) gauge theories with I adjoint chiral superfield, fundamental chiral superfields, and zero classical superpotential. The structure of the chiral ring through the generators and relations between them is examined using the plethystic logarithm and the character expansion technique. The palindromic numerator in the Hilbert series implies that the classical moduli space of adjoint SQCD is an affine Calabi-Yau cone over a weighted projective variety. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.

引用

页码：52 / 97

页数：46

共 34 条

[1] VACUUM-STRUCTURE AND SPECTRUM OF N=2 SUPERSYMMETRIC SU(N) GAUGE-THEORY [J].