The Hilbert Series of Adjoint SQCD

Details The Hilbert Series of Adjoint SQCD The Hilbert Series of Adjoint SQCD

2008-12-12

arxiv.org/abs/0812.2315v2

Nucl.Phys.B825:52-97,2010

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, 1 figure and 2 tables. Version 2: Section 4.4.1 added, Section 4.4 improved, typos fixed, published in Nuclear Physi

Scientific paper

10.1016/j.nuclphysb.2009.09.016

We use the plethystic exponential and the Molien-Weyl formula to compute the Hilbert series (generating funtions), which count gauge invariant operators in N=1 supersymmetric SU(N_c), Sp(N_c), SO(N_c) and G_2 gauge theories with 1 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.

Affiliated with

Also associated with

No associations

Rating

The Hilbert Series of Adjoint SQCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Hilbert Series of Adjoint SQCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Hilbert Series of Adjoint SQCD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609831