Wormholes, emergent gauge fields, and the weak gravity conjecture

Harlow, Daniel

doi:10.1007/JHEP01(2016)122

Title: Wormholes, emergent gauge fields, and the weak gravity conjecture

Journal Article · Wed Jan 20 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2016)122· OSTI ID:1327308

Harlow, Daniel ^[1]

Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature

This paper revisits the question of reconstructing bulk gauge fields as boundary operators in AdS/CFT. In the presence of the ormhole dual to the thermo field double state of two CFTs, the existence of bulk gauge fields is in some tension with the microscopic tensor factorization of the Hilbert space. Here, I explain how this tension can be resolved by splitting the gauge field into charged constituents, and I argue that this leads to a new argument for the "principle of completeness", which states that the charge lattice of a gauge theory coupled to gravity must be fully populated. I also claim that it leads to a new motivation for (and a clarification of) the "weak gravity conjecture", which I interpret as a strengthening of this principle. This setup gives a simple example of a situation where describing low-energy bulk physics in CFT language requires knowledge of high-energy bulk physics. Furthermore, this contradicts to some extent the notion of "effective conformal field theory", but in fact is an expected feature of the resolution of the black hole information problem. An analogous factorization issue exists also for the gravitational field, and I comment on several of its implications for reconstructing black hole interiors and the emergence of spacetime more generally.

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Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-91ER40654

OSTI ID:: 1327308

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 141 works

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References (60)

Bulk and transhorizon measurements in AdS/CFT Heemskerk, Idse; Marolf, Donald; Polchinski, Joseph Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)165	journal	October 2012
Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography Morrison, Ian A. Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)053	journal	May 2014
Construction of bulk fields with gauge redundancy Heemskerk, Idse Journal of High Energy Physics, Vol. 2012, Issue 9 https://doi.org/10.1007/JHEP09(2012)106	journal	September 2012
Aspects of the Papadodimas-Raju proposal for the black hole interior Harlow, Daniel Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)055	journal	November 2014
Bulk locality and quantum error correction in AdS/CFT Almheiri, Ahmed; Dong, Xi; Harlow, Daniel Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)163	journal	April 2015
Hilbert space structure in quantum gravity: an algebraic perspective Giddings, Steven B. Journal of High Energy Physics, Vol. 2015, Issue 12 https://doi.org/10.1007/JHEP12(2015)099	journal	December 2015
Combing gravitational hair in 2 + 1 dimensions Donnelly, William; Marolf, Donald; Mintun, Eric Classical and Quantum Gravity, Vol. 33, Issue 2 https://doi.org/10.1088/0264-9381/33/2/025010	journal	December 2015
Boundary conditions and dualities: vector fields in AdS/CFT Marolf, Donald; Ross, Simo F. Journal of High Energy Physics, Vol. 2006, Issue 11 https://doi.org/10.1088/1126-6708/2006/11/085	journal	November 2006
Eternal black holes in anti-de Sitter Maldacena, Juan Journal of High Energy Physics, Vol. 2003, Issue 04 https://doi.org/10.1088/1126-6708/2003/04/021	journal	April 2003
An apologia for firewalls Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph Journal of High Energy Physics, Vol. 2013, Issue 9 https://doi.org/10.1007/JHEP09(2013)018	journal	September 2013
Local Operators in the Eternal Black Hole Papadodimas, Kyriakos; Raju, Suvrat Physical Review Letters, Vol. 115, Issue 21 https://doi.org/10.1103/PhysRevLett.115.211601	journal	November 2015
Monopoles, Duality, and String Theory Polchinski, Joe International Journal of Modern Physics A, Vol. 19, Issue supp01 https://doi.org/10.1142/S0217751X0401866X	journal	February 2004
A expandable series of non-linear σ models with instantons D'Adda, A.; Lüscher, M.; Di Vecchia, P. Nuclear Physics B, Vol. 146, Issue 1 https://doi.org/10.1016/0550-3213(78)90432-7	journal	December 1978
Instatons, the quark model, and the 1/N expansion Witten, Edward Nuclear Physics B, Vol. 149, Issue 2 https://doi.org/10.1016/0550-3213(79)90243-8	journal	March 1979
The string landscape, black holes and gravity as the weakest force Arkani-Hamed, Nima; Motl, Luboš; Nicolis, Alberto Journal of High Energy Physics, Vol. 2007, Issue 06 https://doi.org/10.1088/1126-6708/2007/06/060	journal	June 2007
Holography from conformal field theory Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph Journal of High Energy Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1126-6708/2009/10/079	journal	October 2009
Effective conformal theory and the flat-space limit of AdS Fitzpatrick, A. Liam; Katz, Emanuel; Poland, David Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)023	journal	July 2011
Eternal black holes and superselection in AdS/CFT Marolf, Donald; Wall, Aron C. Classical and Quantum Gravity, Vol. 30, Issue 2 https://doi.org/10.1088/0264-9381/30/2/025001	journal	December 2012
There are no Goldstone bosons in two dimensions Coleman, Sidney Communications in Mathematical Physics, Vol. 31, Issue 4 https://doi.org/10.1007/BF01646487	journal	December 1973
Deconfined Quantum Critical Points Senthil, T. Science, Vol. 303, Issue 5663 https://doi.org/10.1126/science.1091806	journal	March 2004
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm Senthil, T.; Balents, Leon; Sachdev, Subir Physical Review B, Vol. 70, Issue 14 https://doi.org/10.1103/PhysRevB.70.144407	journal	October 2004
Scaling dimensions of monopole operators in the ℂ ℙ N b − 1 $$ \mathbb{C}{\mathrm{\mathbb{P}}}^{N_b-1} $$ theory in 2 + 1 dimensions Dyer, Ethan; Mezei, Márk; Pufu, Silviu S. Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)037	journal	June 2015
Lattice formulation of the CPn−1 non-linear σ models Stone, Michael Nuclear Physics B, Vol. 152, Issue 1 https://doi.org/10.1016/0550-3213(79)90081-6	journal	May 1979
The CPN−1 model: A strong coupling lattice approach Rabinovici, Eliezer; Samuel, Stuart Physics Letters B, Vol. 101, Issue 5 https://doi.org/10.1016/0370-2693(81)90054-X	journal	May 1981
Path integral quantization of field theories with second-class constraints Senjanovic, P. Annals of Physics, Vol. 100, Issue 1-2 https://doi.org/10.1016/0003-4916(76)90062-2	journal	September 1976
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 22 https://doi.org/10.1103/PhysRevLett.17.1133	journal	November 1966
Finite-temperature behavior of the lattice abelian Higgs model Banks, Thomas; Rabinovici, Eliezer Nuclear Physics B, Vol. 160, Issue 2 https://doi.org/10.1016/0550-3213(79)90064-6	journal	December 1979
A note on gauge theories coupled to gravity Banks, Tom; Johnson, Matt; Shomer, Assaf Journal of High Energy Physics, Vol. 2006, Issue 09 https://doi.org/10.1088/1126-6708/2006/09/049	journal	September 2006
N -flation Dimopoulos, S.; Kachru, S.; McGreevy, J. Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 08 https://doi.org/10.1088/1475-7516/2008/08/003	journal	August 2008
On the dynamical generation of the Maxwell term and scale invariance Rabinovici, Eliezer; Smolkin, Michael Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)040	journal	July 2011
Naturalness and the Weak Gravity Conjecture Cheung, Clifford; Remmen, Grant N. Physical Review Letters, Vol. 113, Issue 5 https://doi.org/10.1103/PhysRevLett.113.051601	journal	July 2014
Infrared consistency and the weak gravity conjecture Cheung, Clifford; Remmen, Grant N. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)087	journal	December 2014
Multiple shocks Shenker, Stephen H.; Stanford, Douglas Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)046	journal	December 2014
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence Ryu, Shinsei; Takayanagi, Tadashi Physical Review Letters, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevLett.96.181602	journal	May 2006
A covariant holographic entanglement entropy proposal Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/062	journal	July 2007
The gravity dual of a density matrix Czech, Bartłomiej; Karczmarek, Joanna L.; Nogueira, Fernando Classical and Quantum Gravity, Vol. 29, Issue 15 https://doi.org/10.1088/0264-9381/29/15/155009	journal	July 2012
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy Wall, Aron C. Classical and Quantum Gravity, Vol. 31, Issue 22 https://doi.org/10.1088/0264-9381/31/22/225007	journal	November 2014
Causality & holographic entanglement entropy Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)162	journal	December 2014
Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence Pastawski, Fernando; Yoshida, Beni; Harlow, Daniel Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)149	journal	June 2015
The off-shell black hole Carlip, Steven; Teitelboim, Claudio Classical and Quantum Gravity, Vol. 12, Issue 7 https://doi.org/10.1088/0264-9381/12/7/011	journal	July 1995
Building up spacetime with quantum entanglement Van Raamsdonk, Mark General Relativity and Gravitation, Vol. 42, Issue 10 https://doi.org/10.1007/s10714-010-1034-0	journal	June 2010
Gauge-Gravity Duality and the Black Hole Interior Marolf, Donald; Polchinski, Joseph Physical Review Letters, Vol. 111, Issue 17 https://doi.org/10.1103/PhysRevLett.111.171301	journal	October 2013
Path integral quantization of field theories with second-class constraints: P. Senjanovic. Department of Physics, University of California, Berkeley, California 94720 [Abstract] Annals of Physics, Vol. 98, Issue 1, p. 285 https://doi.org/10.1016/0003-4916(76)90251-7	journal	May 1976
Monopoles, Duality, and String Theory Polchinski, Joe Proceedings of the Dirac Centennial Symposium https://doi.org/10.1142/9789812703996_0012	conference	November 2011
A Covariant Holographic Entanglement Entropy Proposal Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi arXiv https://doi.org/10.48550/arxiv.0705.0016	text	January 2007
Holography from Conformal Field Theory Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph arXiv https://doi.org/10.48550/arxiv.0907.0151	text	January 2009
Effective Conformal Theory and the Flat-Space Limit of AdS Fitzpatrick, A. Liam; Katz, Emanuel; Poland, David arXiv https://doi.org/10.48550/arxiv.1007.2412	text	January 2010
On the dynamical generation of the Maxwell term and scale invariance Rabinovici, Eliezer; Smolkin, Michael arXiv https://doi.org/10.48550/arxiv.1102.5035	text	January 2011
Bulk and Transhorizon Measurements in AdS/CFT Heemskerk, Idse; Marolf, Donald; Polchinski, Joseph arXiv https://doi.org/10.48550/arxiv.1201.3664	text	January 2012
Eternal Black Holes and Superselection in AdS/CFT Marolf, Donald; Wall, Aron C. arXiv https://doi.org/10.48550/arxiv.1210.3590	text	January 2012
Gauge/Gravity Duality and the Black Hole Interior Marolf, Donald; Polchinski, Joseph arXiv https://doi.org/10.48550/arxiv.1307.4706	text	January 2013
Naturalness and the Weak Gravity Conjecture Cheung, Clifford; Remmen, Grant N. arXiv https://doi.org/10.48550/arxiv.1402.2287	text	January 2014
Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography Morrison, Ian A. arXiv https://doi.org/10.48550/arxiv.1403.3426	text	January 2014
Infrared Consistency and the Weak Gravity Conjecture Cheung, Clifford; Remmen, Grant N. arXiv https://doi.org/10.48550/arxiv.1407.7865	text	January 2014
Causality & holographic entanglement entropy Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion arXiv https://doi.org/10.48550/arxiv.1408.6300	text	January 2014
Local Operators in the Eternal Black Hole Papadodimas, Kyriakos; Raju, Suvrat arXiv https://doi.org/10.48550/arxiv.1502.06692	text	January 2015
Hilbert space structure in quantum gravity: an algebraic perspective Giddings, Steven B. arXiv https://doi.org/10.48550/arxiv.1503.08207	text	January 2015
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm Senthil, T.; Balents, Leon; Sachdev, Subir arXiv https://doi.org/10.48550/arxiv.cond-mat/0312617	text	January 2003
The Off-Shell Black Hole Carlip, S.; Teitelboim, C. arXiv https://doi.org/10.48550/arxiv.gr-qc/9312002	text	January 1993
A note on Gauge Theories Coupled to Gravity Banks, Tom; Johnson, Matt; Shomer, Assaf arXiv https://doi.org/10.48550/arxiv.hep-th/0606277	text	January 2006

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global symmetries

Title: Wormholes, emergent gauge fields, and the weak gravity conjecture

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