Built on

E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
D. E. Berenstein, R. Corrado, W. Fischler and J. M. Maldacena, “The Operator product expansion for Wilson loops and surfaces in the large N limit,” Phys. Rev. D 59
1999
Earlier work this paper cites.
D. Berenstein, C. P. Herzog and I. R. Klebanov, “Baryon spectra and AdS /CFT correspondence,” JHEP 0206
2002
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT: A Boundary view of horizons and locality,” Phys. Rev. D 73
2006
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Holographic representation of local bulk operators,” Phys. Rev. D 74
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
L. Cornalba, M. S. Costa, J. Penedones and R. Schiappa, “Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions,” Nucl. Phys. B 767
2007
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L. Cornalba, M. S. Costa and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP 0709
Original
2007
Earlier work this paper cites.
M. Gary, S. B. Giddings and J. Penedones, “Local bulk S-matrix elements and CFT singularities,” Phys. Rev. D 80
Original
2009
Earlier work this paper cites.

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2019

Localized states in global AdS

Berenstein, David, Simon, Joan

Understand

We construct both local states and scattering states with finite energy in global AdS by inserting properly regularized operators in the CFT of arbitrary conformal dimension $(\Delta)$ at an instant of time.

We give the state fixed angular momentum $(\ell)$ by integrating the result over a sphere with appropriate spherical harmonics.
The energy of the states and their angular resolution is computed with CFT operator methods and is independent of having an AdS interpretation.
In the semiclassical limit of large conformal dimension operators, these correspond to single particles localized within subAdS scales with width $1/\sqrt{\Delta}$ in AdS units, whose subsequent evolution is controlled by bulk geodesics.

Built on

E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
D. E. Berenstein, R. Corrado, W. Fischler and J. M. Maldacena, “The Operator product expansion for Wilson loops and surfaces in the large N limit,” Phys. Rev. D 59
1999
Earlier work this paper cites.
D. Berenstein, C. P. Herzog and I. R. Klebanov, “Baryon spectra and AdS /CFT correspondence,” JHEP 0206
2002
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Local bulk operators in AdS/CFT: A Boundary view of horizons and locality,” Phys. Rev. D 73
2006
Earlier work this paper cites.
A. Hamilton, D. N. Kabat, G. Lifschytz and D. A. Lowe, “Holographic representation of local bulk operators,” Phys. Rev. D 74
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
L. Cornalba, M. S. Costa, J. Penedones and R. Schiappa, “Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions,” Nucl. Phys. B 767
2007
Earlier work this paper cites.
L. Cornalba, M. S. Costa and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP 0709
Original
2007
Earlier work this paper cites.
M. Gary, S. B. Giddings and J. Penedones, “Local bulk S-matrix elements and CFT singularities,” Phys. Rev. D 80
Original
2009
Earlier work this paper cites.