### Abstract

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 AdS_{5} ×S^{5}. 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.

Original language | English |
---|---|

Article number | 053 |

Journal | Journal of High Energy Physics |

Volume | 2016 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Jan 2016 |

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### Keywords

- AdS-CFT correspondence
- Gauge-gravity correspondence

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2016*(4), [053]. https://doi.org/10.1007/JHEP04(2016)053

}

*Journal of High Energy Physics*, vol. 2016, no. 4, 053. https://doi.org/10.1007/JHEP04(2016)053

**Toward precision holography with supersymmetric Wilson loops.** / Faraggi, Alberto; Pando Zayas, Leopoldo A.; Silva, Guillermo A.; Trancanelli, Diego.

Research output: Contribution to journal › Article

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

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 -