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Superprotected npoint correlation functions
, 901
"... of local operators in N = 4 super YangMills ..."
Vortex loop operators
 M2branes and holography,” JHEP 03 (2009) 004, arXiv:0810.4344
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The AdS/CFT Correspondence: Classical, Quantum, and . . .
, 2008
"... Certain aspects of the AdS/CFT correspondence are studied in detail. We investigate the oneloop mass shift to certain twoimpurity string states in lightcone string field theory on a plane wave background. We find that there exist logarithmic divergences in the sums over intermediate mode numbers ..."
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Certain aspects of the AdS/CFT correspondence are studied in detail. We investigate the oneloop mass shift to certain twoimpurity string states in lightcone string field theory on a plane wave background. We find that there exist logarithmic divergences in the sums over intermediate mode numbers which cancel between the cubic Hamiltonian and quartic “contact term”. Analyzing the impurity nonconserving channel we find that leading, nonperturbative terms predicted in the literature are in fact an artifact of these logarithmic divergences and vanish with them. We also argue that generically, every order in intermediate state impurities contributes to the mass shift at leading perturbative order. The same mass shift is also computed using an improved 3string vertex proposed by Dobashi and Yoneya. The result is compared with the prediction from nonplanar corrections in the BMN limit of N = 4 supersymmetric YangMills theory. It is found to agree at leading order – oneloop in YangMills theory – and is close but not quite in agreement at order two YangMills loops. Furthermore, in addition to the leading nonperturbative power in the ’t
BPS Wilson loops on S 2 at higher loops
 JHEP
"... We consider supersymmetric Wilson loops of the variety constructed by Drukker, Giombi, Ricci, and Trancanelli, whose spatial contours lie on a twosphere. Working to second order in the ’t Hooft coupling in planar N = 4 Supersymmetric YangMills Theory (SYM), we compute the vacuum expectation value ..."
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We consider supersymmetric Wilson loops of the variety constructed by Drukker, Giombi, Ricci, and Trancanelli, whose spatial contours lie on a twosphere. Working to second order in the ’t Hooft coupling in planar N = 4 Supersymmetric YangMills Theory (SYM), we compute the vacuum expectation value of a wavylatitude and of a loop composed of two longitudes. We evaluate the resulting integrals numerically and find that the results are consistent with the zeroinstanton sector calculation of Wilson loops in 2d YangMills on S 2 performed by Bassetto and Griguolo. We also consider the connected correlator of two distinct latitudes to third order in the ’t Hooft coupling in planar N = 4 SYM. We compare the result in the limit where the latitudes become coincident to a perturbative calculation in 2d YangMills on S 2 using a lightcone WuMandelstamLeibbrandt prescription. The two calculations produce differing results. 1 Introduction and results The study of Wilson loops in N = 4 supersymmetric YangMills theory [1, 2] has
Wilson loops . . . supersymmetric ChernSimons Theory and their string theory duals
, 2008
"... We study Wilson loops in the threedimensional N = 6 supersymmetric ChernSimons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena, that is conjectured to be dual to type IIA string theory on AdS4 ×CP 3. We construct loop operators in the ChernSimons theory which preserve 1/6 ..."
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We study Wilson loops in the threedimensional N = 6 supersymmetric ChernSimons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena, that is conjectured to be dual to type IIA string theory on AdS4 ×CP 3. We construct loop operators in the ChernSimons theory which preserve 1/6 of the supercharges and calculate their expectation value up to 2loop order at weak coupling. The expectation value at strong coupling is found by constructing the string theory duals of these operators. For low dimensional representations these are fundamental strings, for high dimensional representations these are D2branes and D6branes. In support of this identification we demonstrate that these string theory solutions match the symmetries, charges and the preserved supersymmetries
Probing N = 4 SYM With Surface Operators
, 805
"... In this paper we study surface operators in N = 4 supersymmetric YangMills theory. We compute surface operator observables, such as the expectation value of surface operators, the correlation function of surface operators with local operators, and the correlation function of surface operators with ..."
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In this paper we study surface operators in N = 4 supersymmetric YangMills theory. We compute surface operator observables, such as the expectation value of surface operators, the correlation function of surface operators with local operators, and the correlation function of surface operators with Wilson and ’t Hooft loops. The calculations are performed using three different realizations of surface operators, corresponding respectively to the gauge theory path integral definition, the probe brane description in AdS5 ×S5 and the “bubbling ” supergravity description of surface operators. We find remarkable agreement between the different calculations performed using the three different realizations.