Fetching the paper…

Reading the bibliography…

Notes on SUSY Gauge Theories on Three-Sphere · Around

2010

Notes on SUSY Gauge Theories on Three-Sphere

Hama, Naofumi, Hosomichi, Kazuo, Lee, Sungjay

Original
PDF
Post on X

Understand

We extend the formula for partition functions of N=2 superconformal gauge theories on S^3 obtained recently by Kapustin, Willett and Yaakov, to incorporate matter fields with arbitrary R-charge assignments.

We use the result to check that the self-mirror property of N=4 SQED with two electron hypermultiplets is preserved under a certain mass deformation which breaks the supersymmetry to N=2.

Built on

D. Sen, “ Supersymmetry In The Space-Time ℝ × S 3 \mathbb{R}\times S^{3}
1986
Earlier work this paper cites.
K.A. Intriligator and N. Seiberg, “ Mirror Symmetry in Three Dimensional Gauge Theories
1996
Earlier work this paper cites.
A. Kapustin and M.J. Strassler, “ On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
1999
Earlier work this paper cites.
D. Tong, “ Dynamics of 𝒩 = 2 {\cal N}=2 Supersymmetric Chern-Simons Theories
2000
Earlier work this paper cites.
S. Kharchev, D. Lebedev and M. Semenov-Tian-Shansky, “ Unitary Representations of U q ( 𝔰 𝔩 ( 2 , ℝ ) ) U_{q}(\mathfrak{sl}(2,\mathbb{R})) , the Modular Double, and the Multiparticle q-deformed Toda Chains
2002
Earlier work this paper cites.

Similar

N. A. Nekrasov, “ Seiberg-Witten Prepotential From Instanton Counting
2004
Cited alongside, same era.
C. Romelsberger, “ Counting chiral primaries in N = 1 , d = 4 N=1,d=4 superconformal field theories
2006
Cited alongside, same era.
A.G. Bytsko and J. Teschner, “ Quantization of models with non-compact quantum group symmetry: Modular XXZ magnet and lattice sinh-Gordon model
2006
Cited alongside, same era.
N. Wyllard, “ A N − 1 A_{N-1} conformal Toda field theory correlation functions from conformal 𝒩 = 2 {\cal N}=2 SU(N) quiver gauge theories
Original
2009
Cited alongside, same era.
L.F. Alday, D. Gaiotto and Y. Tachikawa, “ Liouville Correlation Functions from Four-dimensional Gauge Theories
Original
2010
Cited alongside, same era.

Then

A. Kapustin, B. Willett and I. Yaakov, “ Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
Original
2010
Closest in time.
T. Suyama, “ On Large N Solution of ABJM Theory
Original
2010
Closest in time.
M. Marino, S. Pasquetti and P. Putrov, “ Large N duality beyond the genus expansion
Original
2010
Closest in time.
N. Drukker and D. Trancanelli, “ A supermatrix model for N = 6 N=6 super Chern-Simons-matter theory
Original
2010
Closest in time.
M. Marino and P. Putrov, “ Exact Results in ABJM Theory from Topological Strings
Original
2010

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

V. Pestun, “ Localization of Gauge Theory on a Four-sphere and Supersymmetric Wilson Loops

Cited in the paper.

S.J. Rey and T. Suyama, “ Exact Results and Holography of Wilson Loops in N = 2 N=2 Superconformal (Quiver) Gauge Theories

Cited in the paper.

A. Kapustin, B. Willett and I. Yaakov, “ Nonperturbative Tests of Three-Dimensional Dualities

Cited in the paper.

N. Drukker, M. Marino and P. Putrov, “ From weak to strong coupling in ABJM theory

Cited in the paper.

N. Drukker, D. Gaiotto and J. Gomis, “ The Virtue of Defects in 4D Gauge Theories and 2D CFTs

Cited in the paper.

K. Hosomichi, S. Lee and J. Park, “ AGT on the S-duality Wall

Cited in the paper.

D.L. Jafferis, “ The Exact Superconformal R-Symmetry Extremizes Z Z

Cited in the paper.

Closest in time.