Fetching the paper…

Reading the bibliography…

2011

SUSY Gauge Theories on Squashed Three-Spheres

Hama, Naofumi, Hosomichi, Kazuo, Lee, Sungjay

Original
PDF
Post on X

Understand

We study Euclidean 3D N=2 supersymmetric gauge theories on squashed three-spheres preserving isometries SU(2) x U(1) or U(1) x U(1).

We show that, when a suitable background U(1) gauge field is turned on, these squashed spheres support charged Killing spinors and therefore N=2 supersymmetric gauge theories.
We present the Lagrangian and supersymmetry rules for general gauge theories.
The partition functions are computed using localization principle, and are expressed as integrals over Coulomb branch.

SUSY Gauge Theories on Squashed Three-Spheres · Around

Built on

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.
A.G. Bytsko and J. Teschner, “ Quantization of models with non-compact quantum group symmetry: Modular XXZ magnet and lattice sinh-Gordon model
2006
Earlier work this paper cites.
S. Kim, “ The complete superconformal index for N = 6 N=6 Chern-Simons theory
Original
2009
Earlier work this paper cites.
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
Earlier work this paper cites.

Similar

A. Kapustin, B. Willett and I. Yaakov, “ Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
Original
2010
Cited alongside, same era.
T. Suyama, “ On Large N Solution of ABJM Theory
Original
2010
Cited alongside, same era.
M. Marino, S. Pasquetti and P. Putrov, “ Large N duality beyond the genus expansion
Original
2010
Cited alongside, same era.
N. Drukker and D. Trancanelli, “ A supermatrix model for N = 6 N=6 super Chern-Simons-matter theory
Original
2010
Cited alongside, same era.
A. Kapustin, B. Willett and I. Yaakov, “ Nonperturbative Tests of Three-Dimensional Dualities
Original
Cited in the paper.
D.L. Jafferis, “ The Exact Superconformal R-Symmetry Extremizes Z Z
Original
Cited in the paper.
N. Hama, K. Hosomichi and S. Lee, “ Notes on SUSY Gauge Theories on Three-Sphere
Original
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
Original
Cited in the paper.
N. Drukker, M. Marino and P. Putrov, “ From weak to strong coupling in ABJM theory
Original
Cited in the paper.
Y. Imamura and S. Yokoyama, “ Index for three dimensional superconformal field theories with general R-charge assignments
Original
Cited in the paper.
Y. Imamura, D. Yokoyama and S. Yokoyama, “ Superconformal index for large N quiver Chern-Simons theories
Original
Cited in the paper.
S. Cheon, D. Gang, S. Kim and J. Park, “ Refined test of AdS4/CFT3 correspondence for N = 2 , 3 N=2,3 theories
Original
Cited in the paper.

Then

M. Marino and P. Putrov, “ Exact Results in ABJM Theory from Topological Strings
Original
2010
Later among the works it cites.
L.F. Alday, D. Gaiotto and Y. Tachikawa, “ Liouville Correlation Functions from Four-dimensional Gauge Theories
Original
2010
Later among the works it cites.
N. Nekrasov and E. Witten, “ The Omega Deformation, Branes, Integrability, and Liouville Theory
Original
2010
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…