Built on

E. Witten, “Dyons of charge e θ \theta /2 π \pi ,” Physics Letters B
1979
Earlier work this paper cites.
A. Hatcher and W. Thurston, “A presentation for the mapping class group of a closed orientable surface,” Topology
1980
Earlier work this paper cites.
P. C. Argyres and M. R. Douglas, “New phenomena in SU(3) supersymmetric gauge theory,” Nucl.Phys. B448
1995
Earlier work this paper cites.
P. C. Argyres, M. Ronen Plesser, N. Seiberg, and E. Witten, “New N=2 superconformal field theories in four-dimensions,” Nucl.Phys. B461
1996
Earlier work this paper cites.
J. M. Maldacena and C. Nunez, “Supergravity description of field theories on curved manifolds and a no go theorem,” Int.J.Mod.Phys. A16
2001
Earlier work this paper cites.
A. Kapustin, “Wilson-’t Hooft operators in four-dimensional gauge theories and S-duality,” Phys.Rev. D74
2006
Earlier work this paper cites.
P. C. Argyres and N. Seiberg, “S-Duality in 𝒩 = 2 {\mathcal{N}}\!=2 supersymmetric gauge theories,” JHEP 12
Original
2007
Earlier work this paper cites.
O. Lunin, “1/2-BPS states in M theory and defects in the dual CFTs,” JHEP 0710
Original
2007
Earlier work this paper cites.

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2013

Aspects of line operators of class S theories

Xie, Dan

Understand

Geometric picture of line operators of N=2 class S theories was found by imposing closure condition on operator product expansion (OPE) of line operators.

In this paper, we first identify the geometric representation of ordinary Wilson-'t Hooft line operators of field theory, and study duality action on them.
We further define a Dirac product between line operators and classify the allowed set of line operators by requiring: a: closure of OPE; b: mutual locality; c: maximality.
Using above classifications, we find many distinct gauge theories associated with a single duality frame, and show explicitly that new possibilities correspond to the choice of global form of gauge group and discrete theta angles.

Built on

E. Witten, “Dyons of charge e θ \theta /2 π \pi ,” Physics Letters B
1979
Earlier work this paper cites.
A. Hatcher and W. Thurston, “A presentation for the mapping class group of a closed orientable surface,” Topology
1980
Earlier work this paper cites.
P. C. Argyres and M. R. Douglas, “New phenomena in SU(3) supersymmetric gauge theory,” Nucl.Phys. B448
1995
Earlier work this paper cites.
P. C. Argyres, M. Ronen Plesser, N. Seiberg, and E. Witten, “New N=2 superconformal field theories in four-dimensions,” Nucl.Phys. B461
1996
Earlier work this paper cites.
J. M. Maldacena and C. Nunez, “Supergravity description of field theories on curved manifolds and a no go theorem,” Int.J.Mod.Phys. A16
2001
Earlier work this paper cites.
A. Kapustin, “Wilson-’t Hooft operators in four-dimensional gauge theories and S-duality,” Phys.Rev. D74
2006
Earlier work this paper cites.
P. C. Argyres and N. Seiberg, “S-Duality in 𝒩 = 2 {\mathcal{N}}\!=2 supersymmetric gauge theories,” JHEP 12
Original
2007
Earlier work this paper cites.
O. Lunin, “1/2-BPS states in M theory and defects in the dual CFTs,” JHEP 0710
Original
2007
Earlier work this paper cites.