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Title: Strings in bubbling geometries and dual Wilson loop correlators

Abstract

We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a half-supersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in N = 4 Supersymmetric Yang-Mills. 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:
 [1];  [1];  [2]; ORCiD logo [3];  [2]; ORCiD logo [4]
  1. Univ. Nacional de La Plata, La Plata (Argentina). Inst. de Fisica La Plata, CONICET
  2. National Inst. of Nuclear Physics (INFN), Rome (Italy). Sezione di Roma Tor Vergata, Via della Ricerca Scienti ca
  3. International Centre for Theoretical Sciences (ICTS-TIFR), Bengaluru (India)
  4. 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:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Simons Foundation
OSTI Identifier:
1457330
Grant/Contract Number:  
SC0017808; PICT 2012-0417; PIP 0681; 2015MP2CX4
Resource 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 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Gauge-gravity correspondence; Matrix Models; Supersymmetric Gauge Theory; Wilson,’t Hooft and Polyakov loops

Citation Formats

Aguilera-Damia, Jeremias, Correa, Diego H., Fucito, Francesco, Giraldo-Rivera, Victor I., Morales, Jose F., and Pando Zayas, Leopoldo A. Strings in bubbling geometries and dual Wilson loop correlators. United States: N. p., 2017. Web. doi:10.1007/JHEP12(2017)109.
Aguilera-Damia, Jeremias, Correa, Diego H., Fucito, Francesco, Giraldo-Rivera, 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.
Aguilera-Damia, Jeremias, Correa, Diego H., Fucito, Francesco, Giraldo-Rivera, Victor I., Morales, Jose F., and Pando Zayas, Leopoldo A. Wed . "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 = {Aguilera-Damia, Jeremias and Correa, Diego H. and Fucito, Francesco and Giraldo-Rivera, 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 half-supersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in N = 4 Supersymmetric Yang-Mills. 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}
}

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