Built on

C. Beem, T. Dimofte, S. Pasquetti “Holomorphic Blocks in Three Dimensions,” [arXiv:1211.1986 [hep-th]]
Original
1986
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.
O. Aharony, A. Hanany, K. Intriligator, N. Seiberg, M.J. Strassler “ Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions,” Nucl.Phys.B499:67-99,1997 [arXiv:9703110 [hep-th]]
1997
Earlier work this paper cites.
F. Fucito, J. F. Morales and R. Poghossian, “Instantons on quivers and orientifolds,” JHEP 0410
2004
Earlier work this paper cites.
A. Iqbal and A. -K. Kashani-Poor, “The Vertex on a strip,” Adv. Theor. Math. Phys. 10
2006
Earlier work this paper cites.
V. Niarchos, “Seiberg Duality in Chern-Simons Theories with Fundamental and Adjoint Matter,” JHEP 0811
Original
2008
Earlier work this paper cites.

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2012

Factorization of the 3d superconformal index

Hwang, Chiung, Kim, Hee-Cheol, Park, Jaemo

Understand

We prove that 3d superconformal index for general $\mathcal N=2$ U(N) gauge group with fundamentals and anti-fundmentals with/without Chern-Simons terms is factorized into vortex and anti-vortex partition function.

We show that for simple cases, 3d vortex partition function coincides with a suitable topological open string partition function.
We provide much more elegant derivation at the index level for $\mathcal N=2$ Seiberg-like dualities of unitary gauge groups with fundamantal matters and $\mathcal N=4$ mirror symmetry

Built on

C. Beem, T. Dimofte, S. Pasquetti “Holomorphic Blocks in Three Dimensions,” [arXiv:1211.1986 [hep-th]]
Original
1986
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.
O. Aharony, A. Hanany, K. Intriligator, N. Seiberg, M.J. Strassler “ Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions,” Nucl.Phys.B499:67-99,1997 [arXiv:9703110 [hep-th]]
1997
Earlier work this paper cites.
F. Fucito, J. F. Morales and R. Poghossian, “Instantons on quivers and orientifolds,” JHEP 0410
2004
Earlier work this paper cites.
A. Iqbal and A. -K. Kashani-Poor, “The Vertex on a strip,” Adv. Theor. Math. Phys. 10
2006
Earlier work this paper cites.
V. Niarchos, “Seiberg Duality in Chern-Simons Theories with Fundamental and Adjoint Matter,” JHEP 0811
Original
2008
Earlier work this paper cites.