Built on

K. A. Intriligator and N. Seiberg, “Mirror symmetry in three dimensional gauge theories,” Phys. Lett
1996
Earlier work this paper cites.
D. Tong, “Dynamics of N = 2 supersymmetric Chern-Simons theories,” JHEP
2000
Earlier work this paper cites.
N. A. Nekrasov, “Seiberg-Witten Prepotential From Instanton Counting,” Adv. Theor. Math. Phys
2004
Earlier work this paper cites.
A. B. Clark, D. Z. Freedman, A. Karch, and M. Schnabl, “The dual of Janus ((¡:) ¡–¿ (:¿)) an interface CFT,” Phys. Rev
2005
Earlier work this paper cites.
C. Romelsberger, “Counting chiral primaries in N = 1, d=4 superconformal field theories,” Nucl. Phys
2006
Earlier work this paper cites.
E. D’Hoker, J. Estes, and M. Gutperle, “Interface Yang-Mills, supersymmetry, and Janus,” Nucl.Phys
2006
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, “An index for 4 dimensional super conformal theories,” Commun. Math. Phys
2007
Earlier work this paper cites.
D. Bak, M. Gutperle, and S. Hirano, “Three dimensional Janus and time-dependent black holes,” JHEP
2007
Earlier work this paper cites.

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2012

Superconformal Index with Duality Domain Wall

Gang, Dongmin, Koh, Eunkyung, Lee, Kimyeong

Understand

We study a superconformal index for ${\cal N}=4$ super Yang-Mills on $S^1 \times S^3$ with a half BPS duality domain wall inserted at the great two-sphere in $S^3$.

The index is obtained by coupling the 3d generalized superconformal index on the duality domain wall with 4d half-indices.
We further consider insertions of line operators to the configuration and propose integral equations which express that the 3d index on duality domain wall is a duality kernel relating half indices of two line operators related by the duality map.
We explicitly check the proposed integral equations for various duality domain walls and line operators in the ${\cal N}=4$ SU(2) theory.

Built on

K. A. Intriligator and N. Seiberg, “Mirror symmetry in three dimensional gauge theories,” Phys. Lett
1996
Earlier work this paper cites.
D. Tong, “Dynamics of N = 2 supersymmetric Chern-Simons theories,” JHEP
2000
Earlier work this paper cites.
N. A. Nekrasov, “Seiberg-Witten Prepotential From Instanton Counting,” Adv. Theor. Math. Phys
2004
Earlier work this paper cites.
A. B. Clark, D. Z. Freedman, A. Karch, and M. Schnabl, “The dual of Janus ((¡:) ¡–¿ (:¿)) an interface CFT,” Phys. Rev
2005
Earlier work this paper cites.
C. Romelsberger, “Counting chiral primaries in N = 1, d=4 superconformal field theories,” Nucl. Phys
2006
Earlier work this paper cites.
E. D’Hoker, J. Estes, and M. Gutperle, “Interface Yang-Mills, supersymmetry, and Janus,” Nucl.Phys
2006
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, “An index for 4 dimensional super conformal theories,” Commun. Math. Phys
2007
Earlier work this paper cites.
D. Bak, M. Gutperle, and S. Hirano, “Three dimensional Janus and time-dependent black holes,” JHEP
2007
Earlier work this paper cites.