Fetching the paper…

Reading the bibliography…

Tests of Seiberg-like Duality in Three Dimensions · Around

2010

Tests of Seiberg-like Duality in Three Dimensions

Kapustin, Anton, Willett, Brian, Yaakov, Itamar

Original
PDF
Post on X

Understand

We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality.

We compare the partition functions of dual theories deformed by real mass terms and FI parameters.
We find that Seiberg-like duality for N=3 Chern-Simons gauge theories proposed by Giveon and Kutasov holds on the level of partition functions and is closely related to level-rank duality in pure Chern-Simons theory.
We also clarify the relationship between the Giveon-Kutasov duality and a duality in theories of fractional M2 branes and propose a generalization of the latter.

Built on

N. Seiberg, “Electric - magnetic duality in supersymmetric nonAbelian gauge theories,” Nucl. Phys. B 435
1995
Earlier work this paper cites.
I.G. MacDonald, Symmetric functions and Hall polynomials
Original
1995
Earlier work this paper cites.
O. Aharony, “IR duality in d = 3 N = 2 supersymmetric USp(2N(c)) and U(N(c)) gauge theories,” Phys. Lett. B 404
1997
Earlier work this paper cites.

Similar

A. Hanany and E. Witten, “Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics,” Nucl. Phys. B 492
1997
Cited alongside, same era.
A. Kapustin and M. J. Strassler, “On Mirror Symmetry in Three Dimensional Abelian Gauge Theories,” JHEP 9904
1999
Cited alongside, same era.
T. Hahn, “CUBA: A library for multidimensional numerical integration,” Comput. Phys. Commun. 168
2005
Cited alongside, same era.
D. Gaiotto and E. Witten, “S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory,” arXiv:0807.3720 [hep-th]
Original
Cited in the paper.
A. Kapustin, B. Willett and I. Yaakov, “Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter,” arXiv:0909.4559 [hep-th]
Original
Cited in the paper.
A. Kapustin, B. Willett and I. Yaakov, “Nonperturbative Tests of Three-Dimensional Dualities,” arXiv:1003.5694 [hep-th]
Original
Cited in the paper.
D. Bashkirov and A. Kapustin, “Supersymmetry enhancement by monopole operators,” arXiv:1007.4861 [hep-th]
Original
Cited in the paper.

Then

O. Aharony, O. Bergman and D. L. Jafferis, “Fractional M2-branes,” JHEP 0811
Original
2008
Later among the works it cites.
A. Giveon and D. Kutasov, “Seiberg Duality in Chern-Simons Theory,” Nucl. Phys. B 812
Original
2009
Later among the works it cites.
K. Jensen and A. Karch, “ABJM Mirrors and a Duality of Dualities,” JHEP 0909
Original
2009
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…