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G. Compère and D. Marolf, “Setting the Boundary Free in AdS/CFT,” Class. Quant. Grav. 25
Original
1902
Earlier work this paper cites.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
Milton Abramowitz and Irene A. Stegun · 1964
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, “Positive energy in Anti-de Sitter backgrounds and gauged extended supergravity,” Phys. Lett. B115
1982
Earlier work this paper cites.
M. Cubrovic, J. Zaanen and K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
E. Witten, “Anti-de Sitter Space and Holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
J. M. Maldacena, “The Large N N Limit of Superconformal Field Theories and Supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.

Similar

I. R. Klebanov and E. Witten, “AdS/CFT correspondence and symmetry breaking,” Nucl. Phys. B 556
1999
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2006
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2008
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Then

T. Faulkner, G. T. Horowitz and M. M. Roberts, “New Stability Results for Einstein Scalar Gravity,” Class. Quant. Grav. 27
Original
2010
Later among the works it cites.
T. Faulkner, G. T. Horowitz and M. M. Roberts, “Holographic Quantum Criticality from Multi-Trace Deformations,” JHEP 1104
Original
2011
Closest in time.
I. Heemskerk and J. Polchinski, “Holographic and Wilsonian Renormalization Groups,” JHEP 1106
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2011
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T. Faulkner, H. Liu and M. Rangamani, “Integrating Out Geometry: Holographic Wilsonian RG and the Membrane Paradigm,” JHEP 1108
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T. Faulkner and J. Polchinski, “Semi-Holographic Fermi Liquids,” JHEP 1106

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2011

Banishing AdS ghosts with a UV cutoff

Andrade, Tomas, Faulkner, Thomas, Marolf, Donald

Understand

A recent attempt to make sense of scalars in AdS with "Neumann boundary conditions" outside of the usual BF-window $-(d/2)^2 < m^2 l^2 < -(d/2)^2 + 1$ led to pathologies including (depending on the precise context) either IR divergences or the appearance of ghosts.

Here we argue that such ghosts may be banished by imposing a UV cutoff.
It is also possible to achieve this goal in certain UV completions.
An example is the above AdS theory with a radial cutoff supplemented by particular boundary conditions on the cutoff surface.

Built on

G. Compère and D. Marolf, “Setting the Boundary Free in AdS/CFT,” Class. Quant. Grav. 25
Original
1902
Earlier work this paper cites.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
Milton Abramowitz and Irene A. Stegun · 1964
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, “Positive energy in Anti-de Sitter backgrounds and gauged extended supergravity,” Phys. Lett. B115
1982
Earlier work this paper cites.
M. Cubrovic, J. Zaanen and K. Schalm, “String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid,” Science 325
Original
1993
Earlier work this paper cites.
E. Witten, “Anti-de Sitter Space and Holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
J. M. Maldacena, “The Large N N Limit of Superconformal Field Theories and Supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.

Similar

I. R. Klebanov and E. Witten, “AdS/CFT correspondence and symmetry breaking,” Nucl. Phys. B 556
1999
Cited alongside, same era.
M. Berkooz, A. Sever and A. Shomer, “Double-trace deformations, boundary conditions and spacetime singularities,” JHEP 0205
2002
Cited alongside, same era.
S. S. Gubser and I. R. Klebanov, “A universal result on central charges in the presence of double-trace deformations,” Nucl. Phys. B 656
2003
Cited alongside, same era.
D. Marolf and S. F. Ross, “Boundary Conditions and New Dualities: Vector Fields in AdS/CFT,” JHEP 0611
2006
Cited alongside, same era.
B. Grinstein, K. A. Intriligator and I. Z. Rothstein, “Comments on Unparticles,” Phys. Lett. B 662
Original
2008
Cited alongside, same era.