Strings in bubbling geometries and dual Wilson loop correlators
We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a halfsupersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in N = 4 Supersymmetric YangMills. We demonstrate, under some mild conditions, that the minimum value of the string classical action for a bubbling geometry of arbitrary genus precisely matches the correlator of a Wilson loop in the fundamental representation and one in a general large representation. We work out the case in which the large representation is given by a rectangular Young tableau, corresponding to a genus one bubbling geometry, explicitly. Lastly, we also present explicit results in the field theory for a correlator of two Wilson loops: a large one in an arbitrary representation and a “small” one in the fundamental, totally symmetric or totally antisymmetric representation.
 Authors:

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 Univ. Nacional de La Plata, La Plata (Argentina). Inst. de Fisica La Plata, CONICET
 National Inst. of Nuclear Physics (INFN), Rome (Italy). Sezione di Roma Tor Vergata, Via della Ricerca Scientica
 International Centre for Theoretical Sciences (ICTSTIFR), Bengaluru (India)
 Univ. of Michigan, Ann Arbor, MI (United States). Randall Lab. of Physics, Michigan Center for Theoretical Physics; Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
 Publication Date:
 Grant/Contract Number:
 SC0017808; PICT 20120417; PIP 0681; 2015MP2CX4
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Michigan, Ann Arbor, MI (United States)
 Sponsoring Org:
 USDOE Office of Science (SC); Simons Foundation
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Gaugegravity correspondence; Matrix Models; Supersymmetric Gauge Theory; Wilson,’t Hooft and Polyakov loops
 OSTI Identifier:
 1457330
AguileraDamia, Jeremias, Correa, Diego H., Fucito, Francesco, GiraldoRivera, Victor I., Morales, Jose F., and Pando Zayas, Leopoldo A.. Strings in bubbling geometries and dual Wilson loop correlators. United States: N. p.,
Web. doi:10.1007/JHEP12(2017)109.
AguileraDamia, Jeremias, Correa, Diego H., Fucito, Francesco, GiraldoRivera, Victor I., Morales, Jose F., & Pando Zayas, Leopoldo A.. Strings in bubbling geometries and dual Wilson loop correlators. United States. doi:10.1007/JHEP12(2017)109.
AguileraDamia, Jeremias, Correa, Diego H., Fucito, Francesco, GiraldoRivera, Victor I., Morales, Jose F., and Pando Zayas, Leopoldo A.. 2017.
"Strings in bubbling geometries and dual Wilson loop correlators". United States.
doi:10.1007/JHEP12(2017)109. https://www.osti.gov/servlets/purl/1457330.
@article{osti_1457330,
title = {Strings in bubbling geometries and dual Wilson loop correlators},
author = {AguileraDamia, Jeremias and Correa, Diego H. and Fucito, Francesco and GiraldoRivera, Victor I. and Morales, Jose F. and Pando Zayas, Leopoldo A.},
abstractNote = {We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a halfsupersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in N = 4 Supersymmetric YangMills. We demonstrate, under some mild conditions, that the minimum value of the string classical action for a bubbling geometry of arbitrary genus precisely matches the correlator of a Wilson loop in the fundamental representation and one in a general large representation. We work out the case in which the large representation is given by a rectangular Young tableau, corresponding to a genus one bubbling geometry, explicitly. Lastly, we also present explicit results in the field theory for a correlator of two Wilson loops: a large one in an arbitrary representation and a “small” one in the fundamental, totally symmetric or totally antisymmetric representation.},
doi = {10.1007/JHEP12(2017)109},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2017,
place = {United States},
year = {2017},
month = {12}
}