2009

The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold

Ahn, Changhyun, Woo, Kyungsung

Understand

Corrado, Pilch and Warner in 2001 have found the second 11-dimensional solution where the deformed geometry of S^7 in the lift contains S^2 x S^2.

We identify the gauge dual of this background with the theory described by Franco, Klebanov and Rodriguez-Gomez recently.
It is the U(N) x U(N) x U(N) gauge theory with two SU(2) doublet chiral fields B_1 transforming in the (N, Nbar, 1), B_2 transforming in the (1, N, Nbar), C_1 in the (1, Nbar, N) and C_2 in the (Nbar, N, 1) as well as an adjoint field \Phi in the (1, adj, 1) representation.
By adding the mass term for adjoint field \Phi, the detailed correspondence between fields of AdS_4 supergravity and composite operators of the IR field theory is determined.

Built on

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Similar

S. Gubser, N. Nekrasov and S. Shatashvili, “Generalized Conifolds and 4d N=1 SCFT,” JHEP 9905
1999
Cited alongside, same era.
C. Ahn and S. J. Rey, “More CFTs and RG flows from deforming M2/M5-brane horizon,” Nucl. Phys. B 572
2000
Cited alongside, same era.
A. Ceresole, G. Dall’Agata, R. D’Auria and S. Ferrara, “M-theory on the Stiefel manifold and 3d conformal field theories,” JHEP 0003
2000
Cited alongside, same era.
D. Fabbri, P. Fre, L. Gualtieri and P. Termonia, “Osp(N—4) supermultiplets as conformal superfields on d(AdS(4)) and the generic form of N = 2, D = 3 gauge theories,” Class. Quant. Grav. 17
2000
Cited alongside, same era.
D. Fabbri, P. Fre’, L. Gualtieri, C. Reina, A. Tomasiello, A. Zaffaroni and A. Zampa, “3D superconformal theories from Sasakian seven-manifolds: New nontrivial evidences for AdS(4)/CFT(3),” Nucl. Phys. B 577
2000
Cited alongside, same era.
A. Ceresole, G. Dall’Agata, R. D’Auria and S. Ferrara, “Spectrum of type IIB supergravity on AdS(5) x T(11): Predictions on N = 1 SCFT’s,” Phys. Rev. D 61
2000
Cited alongside, same era.
C. Ahn and J. Paeng, “Three-dimensional SCFTs, supersymmetric domain wall and renormalization group flow,” Nucl. Phys. B 595
2001
Cited alongside, same era.
C. Ahn and K. Woo, “Supersymmetric domain wall and RG flow from 4-dimensional gauged N = 8 supergravity,” Nucl. Phys. B 599
2001
Cited alongside, same era.
M. Cvetic, H. Lu and C. N. Pope, “Consistent warped-space Kaluza-Klein reductions, half-maximal gauged supergravities and CP(n) constructions,” Nucl. Phys. B 597
2001
Cited alongside, same era.
C. V. Johnson, K. J. Lovis and D. C. Page, “The Kaehler structure of supersymmetric holographic RG flows,” JHEP 0110
2001
Cited alongside, same era.
P. Merlatti, “M-theory on AdS(4) x Q(111): The complete Osp(2—4) x SU(2) x SU(2) x SU(2) spectrum from harmonic analysis,” Class. Quant. Grav. 18
2001
Cited alongside, same era.
C. Ahn and T. Itoh, “An N = 1 supersymmetric G(2)-invariant flow in M-theory,” Nucl. Phys. B 627
2002
Cited alongside, same era.

Then

N. Halmagyi, K. Pilch, C. Romelsberger and N. P. Warner, “Holographic duals of a family of N = 1 fixed points,” JHEP 0608
2006
Later among the works it cites.
S. Lee, S. Lee and J. Park, “Toric AdS(4)/CFT(3) duals and M-theory crystals,” JHEP 0705
2007
Later among the works it cites.
I. R. Klebanov and A. Murugan, “Gauge/Gravity Duality and Warped Resolved Conifold,” JHEP 0703
2007
Later among the works it cites.
O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810
Original
2008
Later among the works it cites.
C. Ahn, “Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory,” JHEP 0808
Original
2008
Later among the works it cites.
M. Benna, I. Klebanov, T. Klose and M. Smedback, “Superconformal Chern-Simons Theories and A d S 4 / C F T 3 AdS_{4}/CFT_{3} Correspondence,” JHEP 0809
Original
2008
Later among the works it cites.
C. Ahn, “Towards Holographic Gravity Dual of N=1 Superconformal Chern-Simons Gauge Theory,” JHEP 0807
Original
2008
Later among the works it cites.
S. Franco, A. Hanany, J. Park and D. Rodriguez-Gomez, “Towards M2-brane Theories for Generic Toric Singularities,” JHEP 0812
Original
2008
Later among the works it cites.
I. Klebanov, T. Klose and A. Murugan, “ A d S 4 / C F T 3 AdS_{4}/CFT_{3} – Squashed, Stretched and Warped,” JHEP 0903
Original
2009
Closest in time.
I. R. Klebanov, S. S. Pufu and F. D. Rocha, “The Squashed, Stretched, and Warped Gets Perturbed,” JHEP 0906
Original
2009
Closest in time.
C. Ahn, “Comments on Holographic Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory,” JHEP 0903
Original
2009
Closest in time.
C. Ahn and K. Woo, “Perturbing Around A Warped Product Of A d S 4 AdS_{4} and Seven-Ellipsoid,” JHEP 0908
Original
2009
Closest in time.
C. Ahn, “Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory,” Class. Quant. Grav. 26
Original
2009
Closest in time.
C. Ahn, “Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory,” Phys. Lett. B 671
Original
2009
Closest in time.
S. Franco, I. R. Klebanov and D. Rodriguez-Gomez, “M2-branes on Orbifolds of the Cone over Q 1 , 1 , 1 Q^{1,1,1} ,” JHEP 0908
Original
2009
Closest in time.

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