Beyond AdS2/dCFT1: insertions in two Wilson loops

Correa, Diego H.; Faraggi, Alberto; Mück, Wolfgang; Pando Zayas, Leopoldo A.; Silva, Guillermo A.

doi:10.1007/jhep10(2023)127

Beyond AdS₂/dCFT₁: insertions in two Wilson loops

Journal Article · Fri Oct 20 04:00:00 EDT 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2023)127· OSTI ID:2340716

Correa, Diego H. ^[1]; ^[2]; ^[3]; ^[4]; ^[5]

Universidad Nacional de La Plata (Argentina); University of Michigan, Ann Arbor MI
Universidad Andrés Bello, Santiago (Chile); Pontifica Universidad Catolica de Chile, Santiago (Chile)
Univ. degli Studi di Napoli Federico II (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Napoli (Italy)
Univ. of Michigan, Ann Arbor, MI (United States); Institute for Advanced Study, Princeton, NJ (United States); Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Universidad Nacional de La Plata (Argentina)

We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in $$\mathcal{N}$$ = 4 supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of two Wilson-Maldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS₂ regions and in the other phase is given by two disconnected AdS₂ caps; this configuration breaks supersymmetry as well as conformal invariance. We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0007859

OSTI ID:: 2340716

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (56)

Handbook of Elliptic Integrals for Engineers and Scientists Byrd, Paul F.; Friedman, Morris D. https://doi.org/10.1007/978-3-642-65138-0	book	January 1971
Precision calculation of 1/4-BPS Wilson loops in AdS5×S5 Forini, V.; Puletti, V. Giangreco M.; Griguolo, L. Journal of High Energy Physics, Vol. 2016, Issue 2 https://doi.org/10.1007/JHEP02(2016)105	journal	February 2016
String corrections to circular Wilson loop and anomalies Cagnazzo, Alessandra; Medina-Rincon, Daniel; Zarembo, Konstantin Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)120	journal	February 2018
The spectrum of excitations of holographic Wilson loops Faraggi, Alberto; Pando Zayas, Leopoldo A. Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)018	journal	May 2011
The cusp anomalous dimension at three loops and beyond Correa, Diego; Henn, Johannes; Maldacena, Juan Journal of High Energy Physics, Vol. 2012, Issue 5 https://doi.org/10.1007/JHEP05(2012)098	journal	May 2012
Ladder limit for correlators of Wilson loops Correa, Diego H.; Pisani, Pablo; Fukelman, Alan Rios Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)168	journal	May 2018
Precision matching of circular Wilson loops and strings in AdS5 × S5 Medina-Rincon, Daniel; Tseytlin, Arkady A.; Zarembo, Konstantin Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)199	journal	May 2018
Correlators on non-supersymmetric Wilson line in $$ \mathcal{N}=4 $$ SYM and AdS2/CFT1 Beccaria, Matteo; Giombi, Simone; Tseytlin, Arkady A. Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)122	journal	May 2019
Vacuum transitions in two-dimensions and their holographic interpretation Pasquarella, Veronica; Quevedo, Fernando Journal of High Energy Physics, Vol. 2023, Issue 5 https://doi.org/10.1007/JHEP05(2023)192	journal	May 2023
An exact formula for the radiation of a moving quark in $\mathcal{N} = 4$ super Yang Mills Correa, Diego; Henn, Johannes; Maldacena, Juan Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)048	journal	June 2012
Excited states of one-dimensional defect CFTs from the quantum spectral curve Grabner, David; Gromov, Nikolay; Julius, Julius Journal of High Energy Physics, Vol. 2020, Issue 7 https://doi.org/10.1007/JHEP07(2020)042	journal	July 2020
Matching quantum string corrections and circular Wilson loops in AdS4 × CP3 Medina-Rincon, Daniel Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)158	journal	August 2019
More about one-loop effective action of open superstring in AdS5 × S5 Kristjansen, Charlotte; Makeenko, Yuri Journal of High Energy Physics, Vol. 2012, Issue 9 https://doi.org/10.1007/JHEP09(2012)053	journal	September 2012
Chaos and the reparametrization mode on the AdS2 string Giombi, Simone; Komatsu, Shota; Offertaler, Bendeguz Journal of High Energy Physics, Vol. 2023, Issue 9 https://doi.org/10.1007/JHEP09(2023)023	journal	September 2023
One-loop holography with strings in AdS4 × ℂℙ3 David, Marina; de León Ardón, Rodrigo; Faraggi, Alberto Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)070	journal	October 2019
Holographic RG flow and reparametrization invariance of Wilson loops Gutiez, Diego; Hoyos, Carlos Journal of High Energy Physics, Vol. 2022, Issue 10 https://doi.org/10.1007/JHEP10(2022)028	journal	October 2022
Automation of antenna subtraction in colour space: gluonic processes Chen, X.; Gehrmann, T.; Glover, E. W. N. Journal of High Energy Physics, Vol. 2022, Issue 10 https://doi.org/10.1007/JHEP10(2022)099	journal	October 2022
Correlation function of circular Wilson loops at strong coupling Dekel, Amit; Klose, Thomas Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)117	journal	November 2013
Dyson equations for correlators of Wilson loops Correa, Diego; Pisani, Pablo; Fukelman, Alan Rios Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/JHEP12(2018)100	journal	December 2018
Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops Pestun, Vasily Communications in Mathematical Physics, Vol. 313, Issue 1 https://doi.org/10.1007/s00220-012-1485-0	journal	May 2012
Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity Rey, S. -J.; Yee, J. -T. The European Physical Journal C, Vol. 22, Issue 2 https://doi.org/10.1007/s100520100799	journal	November 2001
Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity Mertens, Thomas G.; Turiaci, Gustavo J. Living Reviews in Relativity, Vol. 26, Issue 1 https://doi.org/10.1007/s41114-023-00046-1	journal	July 2023
Large N field theories, string theory and gravity Aharony, Ofer; Gubser, Steven S.; Maldacena, Juan Physics Reports, Vol. 323, Issue 3-4 https://doi.org/10.1016/S0370-1573(99)00083-6	journal	January 2000
Wilson loops in supersymmetric Yang–Mills theory from random matrix theory Akemann, G.; Damgaard, P. H. Physics Letters B, Vol. 513, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00675-X	journal	July 2001
Wilson loop correlator in the AdS/CFT correspondence Zarembo, K. Physics Letters B, Vol. 459, Issue 4 https://doi.org/10.1016/S0370-2693(99)00717-0	journal	July 1999
Wilson loops in supersymmetric Yang–Mills theory Erickson, J. K.; Semenoff, G. W.; Zarembo, K. Nuclear Physics B, Vol. 582, Issue 1-3 https://doi.org/10.1016/S0550-3213(00)00300-X	journal	August 2000
Type IIB Green–Schwarz superstring in plane wave Ramond–Ramond background Metsaev, R. R. Nuclear Physics B, Vol. 625, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00003-2	journal	March 2002
Holographic renormalization Bianchi, Massimo; Freedman, Daniel Z.; Skenderis, Kostas Nuclear Physics B, Vol. 631, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00179-7	journal	June 2002
Ads/CFT correspondence and symmetry breaking Klebanov, Igor R.; Witten, Edward Nuclear Physics B, Vol. 556, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00387-9	journal	September 1999
Half-BPS Wilson loop and AdS 2 /CFT 1 Giombi, Simone; Roiban, Radu; Tseytlin, Arkady A. Nuclear Physics B, Vol. 922 https://doi.org/10.1016/j.nuclphysb.2017.07.004	journal	September 2017
One-loop structure of higher rank Wilson loops in AdS/CFT Faraggi, Alberto; Liu, James T.; Pando Zayas, Leopoldo A. Physics Letters B, Vol. 740 https://doi.org/10.1016/j.physletb.2014.11.060	journal	January 2015
An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory Drukker, Nadav; Gross, David J. Journal of Mathematical Physics, Vol. 42, Issue 7 https://doi.org/10.1063/1.1372177	journal	July 2001
Dirac actions for D-branes on backgrounds with fluxes Martucci, Luca; Rosseel, Jan; Bleeken, Dieter Van den Classical and Quantum Gravity, Vol. 22, Issue 13 https://doi.org/10.1088/0264-9381/22/13/014	journal	June 2005
Green-Schwarz string in AdS ₅ × S ⁵ : semiclassical partition function Drukker, Nadav; Gross, David J.; Tseytlin, Arkady A. Journal of High Energy Physics, Vol. 2000, Issue 04 https://doi.org/10.1088/1126-6708/2000/04/021	journal	March 2000
String breaking from ladder diagrams in SYM theory Zarembo, Konstantin Journal of High Energy Physics, Vol. 2001, Issue 03 https://doi.org/10.1088/1126-6708/2001/03/042	journal	March 2001
All-genus calculation of Wilson loops using D-branes Drukker, Nadav; Fiol, Bartomeu Journal of High Energy Physics, Vol. 2005, Issue 02 https://doi.org/10.1088/1126-6708/2005/02/010	journal	February 2005
Wilson loops of anti-symmetric representation and D5-branes Yamaguchi, Satoshi Journal of High Energy Physics, Vol. 2006, Issue 05 https://doi.org/10.1088/1126-6708/2006/05/037	journal	May 2006
Higher rank Wilson loops from a matrix model Hartnoll, Sean A.; Kumar, S. Prem Journal of High Energy Physics, Vol. 2006, Issue 08 https://doi.org/10.1088/1126-6708/2006/08/026	journal	August 2006
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
Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling Kruczenski, M.; Tirziu, A. Journal of High Energy Physics, Vol. 2008, Issue 05 https://doi.org/10.1088/1126-6708/2008/05/064	journal	May 2008
The Wilson loop CFT: insertion dimensions and structure constants from wavy lines Cooke, Michael; Dekel, Amit; Drukker, Nadav Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 33 https://doi.org/10.1088/1751-8121/aa7db4	journal	July 2017
On the Heun equation Takemura, Kouichi Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1867 https://doi.org/10.1098/rsta.2007.2065	journal	June 2007
Bootstrapping the half-BPS line defect CFT in N=4 supersymmetric Yang-Mills theory at strong coupling Ferrero, Pietro; Meneghelli, Carlo Physical Review D, Vol. 104, Issue 8 https://doi.org/10.1103/PhysRevD.104.L081703	journal	October 2021
Integrability and conformal bootstrap: One dimensional defect conformal field theory Cavaglià, Andrea; Gromov, Nikolay; Julius, Julius Physical Review D, Vol. 105, Issue 2 https://doi.org/10.1103/PhysRevD.105.L021902	journal	January 2022
Aspects of large N gauge theory dynamics as seen by string theory Gross, David J.; Ooguri, Hirosi Physical Review D, Vol. 58, Issue 10 https://doi.org/10.1103/PhysRevD.58.106002	journal	October 1998
Wilson loops and minimal surfaces Drukker, Nadav; Gross, David J.; Ooguri, Hirosi Physical Review D, Vol. 60, Issue 12 https://doi.org/10.1103/PhysRevD.60.125006	journal	November 1999
Static potential inN=4supersymmetric Yang-Mills theory Erickson, J. K.; Semenoff, G. W.; Szabo, R. J. Physical Review D, Vol. 61, Issue 10 https://doi.org/10.1103/PhysRevD.61.105006	journal	April 2000
Variational methods in AdS/CFT correspondence Andrade, Tomás; Bañados, Máximo; Rojas, Francisco Physical Review D, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevD.75.065013	journal	March 2007
One-loop effective action of the holographic antisymmetric Wilson loop Faraggi, Alberto; Mück, Wolfgang; Pando Zayas, Leopoldo A. Physical Review D, Vol. 85, Issue 10 https://doi.org/10.1103/PhysRevD.85.106015	journal	May 2012
1 / N correction in the D3-brane description of a circular Wilson loop at strong coupling Buchbinder, E. I.; Tseytlin, A. A. Physical Review D, Vol. 89, Issue 12 https://doi.org/10.1103/PhysRevD.89.126008	journal	June 2014
Wilson Loops in Large N Field Theories Maldacena, Juan Physical Review Letters, Vol. 80, Issue 22 https://doi.org/10.1103/PhysRevLett.80.4859	journal	June 1998
The entropy of Hawking radiation Almheiri, Ahmed; Hartman, Thomas; Maldacena, Juan Reviews of Modern Physics, Vol. 93, Issue 3 https://doi.org/10.1103/RevModPhys.93.035002	journal	July 2021
PHASE TRANSITIONS IN WILSON LOOP CORRELATOR FROM INTEGRABILITY IN GLOBAL AdS Burrington, Benjamin A.; Pando Zayas, Leoplodo A. International Journal of Modern Physics A, Vol. 27, Issue 01 https://doi.org/10.1142/S0217751X12500017	journal	January 2012
AdS$_{2}$ holography and the SYK model Sarosi, Gabor Proceedings of XIII Modave Summer School in Mathematical Physics — PoS(Modave2017) https://doi.org/10.22323/1.323.0001	conference	March 2018
The large $N$ limit of superconformal field theories and supergravity Maldacena, Juan Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a1	journal	January 1998
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998