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Toward precision holography with supersymmetric Wilson loops

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Author(s):
Faraggi, Alberto ; Zayas, Leopoldo A. Pando ; Silva, Guillermo A. ; Trancanelli, Diego
Total Authors: 4
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 4, p. 36-pg., 2016-04-11.
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) x 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. (AU)

FAPESP's process: 15/17885-0 - High precision tests of the AdS/CFT correspondence
Grantee:Diego Trancanelli
Support Opportunities: Regular Research Grants
FAPESP's process: 14/18634-9 - Gauge/Gravity duality
Grantee:Victor de Oliveira Rivelles
Support Opportunities: Research Projects - Thematic Grants