TY - JOUR

T1 - Toward precision holography with supersymmetric Wilson loops

AU - Faraggi, Alberto

AU - Pando Zayas, Leopoldo A.

AU - Silva, Guillermo A.

AU - Trancanelli, Diego

N1 - Funding Information:
We are thankful to J. Aguilera-Damia, O. Aharony, N. Berkovits, D. Correa, A. Dabholkar, L. Griguolo, Z. Komargodski, M. Kruczenski, W. M?ck, D. Seminara, and E. Vescovi for discussions and correspondence. AF is supported by CONICYT/PAI ?Apoyo al Retorno? grant 821320022. GAS acknowledges financial support from projects PICT 2012-0417 ANPCyT, PIP0595/13 CONICET and X648 UNLP, and thanks the ICTP Associate Program for hospitality during the gestation phase of this project and SAIFR-ICTP during the completion of this work. LAPZ acknowledges the hospitality of CINVESTAV, Mexico, the University of Naples Federico II, Italy and Tel Aviv University, Israel. He also thanks J. Sonnenschein for encouragement. DT acknowledges PUC Chile for hospitality during this project and CNPq and FAPESP (grants 2014/18634-9 and 2015/17885-0) for partial financial support.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - We consider certain 1/4 BPS Wilson loop operators in SU(N) N = 4 supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to fundamental strings in AdS5 ×S5. The string on-shell action reproduces the large N and large coupling limit of the gauge theory expectation value and, according to the AdS/CFT correspondence, there should also be a precise match between subleading corrections to these limits. We perform a test of such match at next-to-leading order in string theory, by deriving the spectrum of quantum fluctuations around the classical string solution and by computing the corresponding 1-loop effective action. We discuss in detail the supermultiplet structure of the fluctuations. To remove a possible source of ambiguity in the ghost zero mode measure, we compare the 1/4 BPS configuration with the 1/2 BPS one, dual to a circular Wilson loop. We find a discrepancy between the string theory result and the gauge theory prediction, confirming a previous result in the literature. We are able to track the modes from which this discrepancy originates, as well as the modes that by themselves would give the expected result.

AB - We consider certain 1/4 BPS Wilson loop operators in SU(N) N = 4 supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to fundamental strings in AdS5 ×S5. The string on-shell action reproduces the large N and large coupling limit of the gauge theory expectation value and, according to the AdS/CFT correspondence, there should also be a precise match between subleading corrections to these limits. We perform a test of such match at next-to-leading order in string theory, by deriving the spectrum of quantum fluctuations around the classical string solution and by computing the corresponding 1-loop effective action. We discuss in detail the supermultiplet structure of the fluctuations. To remove a possible source of ambiguity in the ghost zero mode measure, we compare the 1/4 BPS configuration with the 1/2 BPS one, dual to a circular Wilson loop. We find a discrepancy between the string theory result and the gauge theory prediction, confirming a previous result in the literature. We are able to track the modes from which this discrepancy originates, as well as the modes that by themselves would give the expected result.

KW - AdS-CFT correspondence

KW - Gauge-gravity correspondence

UR - http://www.scopus.com/inward/record.url?scp=85008471479&partnerID=8YFLogxK

U2 - 10.1007/JHEP04(2016)053

DO - 10.1007/JHEP04(2016)053

M3 - Article

AN - SCOPUS:85008471479

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 4

M1 - 053

ER -