Fetching the paper…
Reading the bibliography…
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.
M. Hochster, J. L. Roberts, “Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay” Adv. Math
1974
Earlier work this paper cites.
R. Stanley, “Hilbert functions of graded algebras,” Adv. Math
1978
Earlier work this paper cites.
W. Fulton and J. Harris “Representation Theory: A First Course,” New York: Springer (1991)
1991
Earlier work this paper cites.
D. Kutasov, “A Comment on duality in N=1 supersymmetric nonAbelian gauge theories,” Phys. Lett. B
1995
Earlier work this paper cites.
D. Kutasov and A. Schwimmer, “On duality in supersymmetric Yang-Mills theory,” Phys. Lett. B
1995
Earlier work this paper cites.
R. G. Leigh and M. J. Strassler, “Duality of Sp(2N(c)) and SO(N(c)) supersymmetric gauge theories with adjoint matter,” Phys. Lett. B
1995
Earlier work this paper cites.
I. Pesando, “Exact results for the supersymmetric G(2) gauge theories,” Mod. Phys. Lett. A
1995
Earlier work this paper cites.
S. B. Giddings and J. M. Pierre, “Some Exact Results In Supersymmetric Theories Based On Exceptional Groups,” Phys. Rev. D
1995
Cited alongside, same era.
P. C. Argyres and A. E. Faraggi, “The vacuum structure and spectrum of N=2 supersymmetric SU(n) gauge theory,” Phys. Rev. Lett
1995
Cited alongside, same era.
D. Kutasov, A. Schwimmer and N. Seiberg, “Chiral Rings, Singularity Theory and Electric-Magnetic Duality,” Nucl. Phys. B
1996
Cited alongside, same era.
M. A. Luty, M. Schmaltz and J. Terning, “A Sequence of Duals for Sp(2N) Supersymmetric Gauge Theories with Adjoint Matter,” Phys. Rev. D
1996
Cited alongside, same era.
J. Distler and A. Karch, “N = 1 dualities for exceptional gauge groups and quantum global symmetries,” Fortsch. Phys
1997
Cited alongside, same era.
H. Derksen and G. Kemper “Computational Invariant Theory,” New York: Springer (2002)
2002
Later among the works it cites.
D. Kutasov, A. Parnachev and D. A. Sahakyan, “Central charges and U(1)R symmetries in N = 1 super Yang-Mills,” JHEP
2003
Later among the works it cites.
C. Romelsberger, “Counting chiral primaries in N=1, d=4 superconformal field theories,” Nucl. Phys. B
2006
Later among the works it cites.
B. Feng, A. Hanany, and Y. H. He, “Counting gauge invariants: The plethystic program,” JHEP
2007
Later among the works it cites.
A. Hanany, “Counting BPS operators in the chiral ring: The plethystic story,” AIP Conf. Proc
2007
Later among the works it cites.
F. A. Dolan, “Counting BPS operators in N=4 SYM,” Nucl. Phys. B
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
P. Pouliot, “Molien function for duality,” JHEP
1999
Cited alongside, same era.
A. Giveon and D. Kutasov, “Brane dynamics and gauge theory,” Rev. Mod. Phys
1999
Cited alongside, same era.
Cited in the paper.
Cited in the paper.
S. Benvenuti, B. Feng, A. Hanany, and Y. H. He, “Counting BPS operators in gauge theories: Quivers, syzygies and plethystics,” arXiv:hep-th/0608050
Cited in the paper.
Y. Noma, T. Nakatsu and T. Tamakoshi, “Plethystics and instantons on ALE spaces,” arXiv:hep-th/0611324
Cited in the paper.
D. Forcella, A. Hanany, and A. Zaffaroni, “Baryonic generating functions,” arXiv:hep-th/0701236
Cited in the paper.
2008
Closest in time.