Built on

C. Bachas, “Massive AdS Supergravitons and Holography,”
Original
1905
Earlier work this paper cites.
T. Okazaki, “Mirror symmetry of 3d
Original
1905
Earlier work this paper cites.
I. Tamm, “Die verallgemeinerten Kugelfunktionen und die Wellenfunktionen eines Elektrons im Felde eines Magnetpoles,” Z. Phys. 71 (1931) no.3-4, 141; T. T. Wu and C. N. Yang, “Dirac Monopole Without Strings: Monopole Harmonics,” Nucl. Phys. B 107 (1976) 365
1976
Earlier work this paper cites.
C. Beem, T. Dimofte and S. Pasquetti, “Holomorphic Blocks in Three Dimensions,” JHEP 1412 (2014) 177
Original
1986
Earlier work this paper cites.
R. G. Leigh and M. J. Strassler, “Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory,” Nucl. Phys. B 447 (1995) 95
1995
Earlier work this paper cites.
A. Hanany and E. Witten, “Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics,” Nucl. Phys. B 492 (1997) 152
1997
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, “Conformal Field Theory,” Springer 1997
1997
Earlier work this paper cites.
J. M. Maldacena and A. Strominger, “AdS(3) black holes and a stringy exclusion principle,” JHEP 9812 (1998) 005
1998
Earlier work this paper cites.
C. Bachas, M. R. Douglas and C. Schweigert, “Flux stabilization of D-branes,” JHEP 0005 (2000) 048
2000
Earlier work this paper cites.
J. McGreevy, L. Susskind and N. Toumbas, “Invasion of the giant gravitons from Anti-de Sitter space,” JHEP 0006 (2000) 008
2000
Earlier work this paper cites.
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O. Aharony, B. Kol and S. Yankielowicz, “On exactly marginal deformations of N=4 SYM and Type IIB supergravity on AdS(5) x S**5,” JHEP 0206 (2002) 039
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M. Berkooz, A. Sever and A. Shomer, “’Double trace’ deformations, boundary conditions and space-time singularities,” JHEP 0205 (2002) 034
2002
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V. Borokhov, A. Kapustin and X. k. Wu, “Topological disorder operators in three-dimensional conformal field theory,” JHEP 0211 (2002) 049
2002
Earlier work this paper cites.
V. Borokhov, “Monopole operators in three-dimensional N=4 SYM and mirror symmetry,” JHEP 0403 (2004) 008
2004
Earlier work this paper cites.
S. Benvenuti and A. Hanany, “Conformal manifolds for the conifold and other toric field theories,” JHEP 0508, 024 (2005)
2005
Earlier work this paper cites.

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2019

Marginal Deformations of 3d N=4 Linear Quiver Theories

Bachas, Constantin, Lavdas, Ioannis, Floch, Bruno Le

Understand

We study superconformal deformations of the $T_\rho^{\hat\rho}[SU(N)]$ theories of Gaiotto-Hanany-Witten, paying special attention to mixed-branch operators with both electrically- and magnetically-charged fields.

We explain why all marginal ${\cal N}=2$ operators of an ${\cal N}=4$ CFT$_3$ can be extracted unambiguously from the superconformal index.
Computing the index at the appropriate order we show that the mixed moduli in $T_\rho^{\hat\rho}[SU(N)]$ theories are double-string operators transforming in the (Adjoint, Adjoint) representation of the electric and magnetic flavour groups, up to some overcounting for quivers with abelian gauge nodes.
We comment on the holographic interpretation of the results, arguing in particular that gauged supergravities can capture the entire moduli space if, in addition to the (classical) parameters of the background solution, one takes also into account the (quantization) moduli of boundary conditions.

Built on

C. Bachas, “Massive AdS Supergravitons and Holography,”
Original
1905
Earlier work this paper cites.
T. Okazaki, “Mirror symmetry of 3d
Original
1905
Earlier work this paper cites.
I. Tamm, “Die verallgemeinerten Kugelfunktionen und die Wellenfunktionen eines Elektrons im Felde eines Magnetpoles,” Z. Phys. 71 (1931) no.3-4, 141; T. T. Wu and C. N. Yang, “Dirac Monopole Without Strings: Monopole Harmonics,” Nucl. Phys. B 107 (1976) 365
1976
Earlier work this paper cites.
C. Beem, T. Dimofte and S. Pasquetti, “Holomorphic Blocks in Three Dimensions,” JHEP 1412 (2014) 177
Original
1986
Earlier work this paper cites.
R. G. Leigh and M. J. Strassler, “Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory,” Nucl. Phys. B 447 (1995) 95
1995
Earlier work this paper cites.
A. Hanany and E. Witten, “Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics,” Nucl. Phys. B 492 (1997) 152
1997
Earlier work this paper cites.
P. Di Francesco, P. Mathieu and D. Senechal, “Conformal Field Theory,” Springer 1997
1997
Earlier work this paper cites.
J. M. Maldacena and A. Strominger, “AdS(3) black holes and a stringy exclusion principle,” JHEP 9812 (1998) 005
1998
Earlier work this paper cites.
C. Bachas, M. R. Douglas and C. Schweigert, “Flux stabilization of D-branes,” JHEP 0005 (2000) 048
2000
Earlier work this paper cites.
J. McGreevy, L. Susskind and N. Toumbas, “Invasion of the giant gravitons from Anti-de Sitter space,” JHEP 0006 (2000) 008
2000
Earlier work this paper cites.
B. Kol, “On conformal deformations,” JHEP 0209 (2002) 046
Original
2002
Earlier work this paper cites.
O. Aharony, B. Kol and S. Yankielowicz, “On exactly marginal deformations of N=4 SYM and Type IIB supergravity on AdS(5) x S**5,” JHEP 0206 (2002) 039
2002
Earlier work this paper cites.
M. Berkooz, A. Sever and A. Shomer, “’Double trace’ deformations, boundary conditions and space-time singularities,” JHEP 0205 (2002) 034
2002
Earlier work this paper cites.
V. Borokhov, A. Kapustin and X. k. Wu, “Topological disorder operators in three-dimensional conformal field theory,” JHEP 0211 (2002) 049
2002
Earlier work this paper cites.
V. Borokhov, “Monopole operators in three-dimensional N=4 SYM and mirror symmetry,” JHEP 0403 (2004) 008
2004
Earlier work this paper cites.
S. Benvenuti and A. Hanany, “Conformal manifolds for the conifold and other toric field theories,” JHEP 0508, 024 (2005)
2005
Earlier work this paper cites.