Sub-AdS scale locality in AdS3/CFT2
Tóm tắt
We investigate sub-AdS scale locality in a weakly coupled toy model of the AdS3/CFT2 correspondence. We find that this simple model has the correct density of states at low and high energies to be dual to Einstein gravity coupled to matter in AdS3. The bulk correlation functions also have the correct behavior at leading order in the large N expansion, but deviations appear at order 1/N . We interpret this as evidence for non-locality of the theory, which is consistent with the presence of an infinite tower of massless higher-spin fields. Finally, we conjecture that any large N CFT2 that is both modular invariant, and exhibits the correct low-energy density of states, is dual to a gravitational theory with sub-AdS scale locality.
Tài liệu tham khảo
J.D. Brown and M. Henneaux, Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity, Commun. Math. Phys. 104 (1986) 207 [INSPIRE].
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from Conformal Field Theory, JHEP 10 (2009) 079 [arXiv:0907.0151] [INSPIRE].
S. El-Showk and K. Papadodimas, Emergent Spacetime and Holographic CFTs, JHEP 10 (2012) 106 [arXiv:1101.4163] [INSPIRE].
A.L. Fitzpatrick and J. Kaplan, AdS Field Theory from Conformal Field Theory, JHEP 02 (2013) 054 [arXiv:1208.0337] [INSPIRE].
T. Hartman, C.A. Keller and B. Stoica, Universal Spectrum of 2d Conformal Field Theory in the Large c Limit, JHEP 09 (2014) 118 [arXiv:1405.5137] [INSPIRE].
A.L. Fitzpatrick, J. Kaplan and M.T. Walters, Universality of Long-Distance AdS Physics from the CFT Bootstrap, JHEP 08 (2014) 145 [arXiv:1403.6829] [INSPIRE].
A. Belin, C.A. Keller and A. Maloney, String Universality for Permutation Orbifolds, Phys. Rev. D 91 (2015) 106005 [arXiv:1412.7159] [INSPIRE].
F.M. Haehl and M. Rangamani, Permutation orbifolds and holography, JHEP 03 (2015) 163 [arXiv:1412.2759] [INSPIRE].
A. Belin, C.A. Keller and A. Maloney, Permutation Orbifolds in the large-N Limit, Annales Henri Poincaré 18 (2017) 529 [arXiv:1509.01256] [INSPIRE].
E. Shaghoulian, Emergent gravity from Eguchi-Kawai reduction, JHEP 03 (2017) 011 [arXiv:1611.04189] [INSPIRE].
A. Belin, J. de Boer, J. Kruthoff, B. Michel, E. Shaghoulian and M. Shyani, Universality of sparse d > 2 conformal field theory at large-N , JHEP 03 (2017) 067 [arXiv:1610.06186] [INSPIRE].
S. Banerjee et al., Smoothed Transitions in Higher Spin AdS Gravity, Class. Quant. Grav. 30 (2013) 104001 [arXiv:1209.5396] [INSPIRE].
M.R. Gaberdiel, R. Gopakumar and M. Rangamani, The Spectrum of Light States in Large-N Minimal Models, JHEP 01 (2014) 116 [arXiv:1310.1744] [INSPIRE].
P. Kraus and A. Maloney, A Cardy Formula for Three-Point Coefficients: How the Black Hole Got its Spots, arXiv:1608.03284 [INSPIRE].
E. Mintun, J. Polchinski and V. Rosenhaus, Bulk-Boundary Duality, Gauge Invariance and Quantum Error Corrections, Phys. Rev. Lett. 115 (2015) 151601 [arXiv:1501.06577] [INSPIRE].
B. Freivogel, R.A. Jefferson and L. Kabir, Precursors, Gauge Invariance and Quantum Error Correction in AdS/CFT, JHEP 04 (2016) 119 [arXiv:1602.04811] [INSPIRE].
I.R. Klebanov and A.M. Polyakov, AdS dual of the critical O(N ) vector model, Phys. Lett. B 550 (2002) 213 [hep-th/0210114] [INSPIRE].
S. Giombi and X. Yin, The Higher Spin/Vector Model Duality, J. Phys. A 46 (2013) 214003 [arXiv:1208.4036] [INSPIRE].
A. Almheiri, X. Dong and D. Harlow, Bulk Locality and Quantum Error Correction in AdS/CFT, JHEP 04 (2015) 163 [arXiv:1411.7041] [INSPIRE].
S.B. Giddings, Flat space scattering and bulk locality in the AdS/CFT correspondence, Phys. Rev. D 61 (2000) 106008 [hep-th/9907129] [INSPIRE].
M. Gary, S.B. Giddings and J. Penedones, Local bulk S-matrix elements and CFT singularities, Phys. Rev. D 80 (2009) 085005 [arXiv:0903.4437] [INSPIRE].
M. Gary and S.B. Giddings, The Flat space S-matrix from the AdS/CFT correspondence?, Phys. Rev. D 80 (2009) 046008 [arXiv:0904.3544] [INSPIRE].
J. Maldacena, D. Simmons-Duffin and A. Zhiboedov, Looking for a bulk point, JHEP 01 (2017) 013 [arXiv:1509.03612] [INSPIRE].
M.A. Vasiliev, Higher spin gauge theories in four-dimensions, three-dimensions and two-dimensions, Int. J. Mod. Phys. D 5 (1996) 763 [hep-th/9611024] [INSPIRE].
M.R. Gaberdiel and C. Vollenweider, Minimal Model Holography for SO(2N ), JHEP 08 (2011) 104 [arXiv:1106.2634] [INSPIRE].
C. Candu, M.R. Gaberdiel, M. Kelm and C. Vollenweider, Even spin minimal model holography, JHEP 01 (2013) 185 [arXiv:1211.3113] [INSPIRE].
S. Banerjee, S. Hellerman, J. Maltz and S.H. Shenker, Light States in Chern-Simons Theory Coupled to Fundamental Matter, JHEP 03 (2013) 097 [arXiv:1207.4195] [INSPIRE].
M.R. Gaberdiel, K. Jin and W. Li, Perturbations of \( \mathcal{W} \) ∞ CFTs, JHEP 10 (2013) 162 [arXiv:1307.4087] [INSPIRE].
S. Giombi, A. Maloney and X. Yin, One-loop Partition Functions of 3D Gravity, JHEP 08 (2008) 007 [arXiv:0804.1773] [INSPIRE].
A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Holographic representation of local bulk operators, Phys. Rev. D 74 (2006) 066009 [hep-th/0606141] [INSPIRE].
M.A. Vasiliev, Star-Product Functions in Higher-Spin Theory and Locality, JHEP 06 (2015) 031 [arXiv:1502.02271] [INSPIRE].
E.D. Skvortsov and M. Taronna, On Locality, Holography and Unfolding, JHEP 11 (2015) 044 [arXiv:1508.04764] [INSPIRE].
M. Taronna, Pseudo-local Theories: A Functional Class Proposal, in proceedings of the International Workshop on Higher Spin Gauge Theories, Singapore, 4-6 November 2015, World Scientific (2017), pp. 59-84 [arXiv:1602.08566] [INSPIRE].
M.A. Vasiliev, Current Interactions, Locality and Holography from the 0-Form Sector of Nonlinear Higher-Spin Equations, arXiv:1605.02662 [INSPIRE].
M. Taronna, A Note on Field Redefinitions and Higher-Spin Equations, EPJ Web Conf. 125 (2016) 05025 [arXiv:1607.04718] [INSPIRE].
X. Bekaert, J. Erdmenger, D. Ponomarev and C. Sleight, Bulk quartic vertices from boundary four-point correlators, in proceedings of the International Workshop on Higher Spin Gauge Theories, Singapore, 4-6 November 2015, World Scientific (2017), pp. 291-303 [arXiv:1602.08570] [INSPIRE].
C. Sleight, Interactions in Higher-Spin Gravity: a Holographic Perspective, Ph.D. Thesis, Ludwig-Maximilians-Universität (LMU), München Germany (2016) [arXiv:1610.01318] [INSPIRE].
C. Sleight and M. Taronna, Higher-Spin Algebras, Holography and Flat Space, JHEP 02 (2017) 095 [arXiv:1609.00991] [INSPIRE].