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48
Open string fluctuations in AdS5 × S 5 and operators with large R charge,” Phys
 Rev. D
, 2002
"... A semiclassical string description is given for correlators of Wilson loops with local operators in N = 4 SYM theory in the regime when operators carry parametrically large Rcharge. The OPE coefficients of the circular Wilson loop in chiral primary operators are computed to all orders in the α ′ ex ..."
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A semiclassical string description is given for correlators of Wilson loops with local operators in N = 4 SYM theory in the regime when operators carry parametrically large Rcharge. The OPE coefficients of the circular Wilson loop in chiral primary operators are computed to all orders in the α ′ expansion in AdS5 × S 5 string theory. The results agree with fieldtheory predictions.
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
unknown title
, 809
"... Abstract: We describe embeddings of a single D3brane in generic IIB supergravity backgrounds when both electric and magnetic fields are turned on. As a particular application, we describe a dyonic D3brane in AdS5 × S 1, dual to 1/4 BPS states of N = 4 SYM. Contents ..."
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Abstract: We describe embeddings of a single D3brane in generic IIB supergravity backgrounds when both electric and magnetic fields are turned on. As a particular application, we describe a dyonic D3brane in AdS5 × S 1, dual to 1/4 BPS states of N = 4 SYM. Contents
Imperial/TP/07/RR/02 arXiv:0704.2237
, 704
"... We present a large new family of Wilson loop operators in N = 4 supersymmetric YangMills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two supercharges. Some previously known loops, notably the 1/2 BPS ..."
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We present a large new family of Wilson loop operators in N = 4 supersymmetric YangMills theory. For an arbitrary curve on the three dimensional sphere one can add certain scalar couplings to the Wilson loop so it preserves at least two supercharges. Some previously known loops, notably the 1/2 BPS circle, belong to this class, but we point out many more special cases which were not known before and could provide further tests of the AdS/CFT correspondence. Supersymmetry is an extremely powerful tool in theoretical physics. In addition to the general hope and expectation that supersymmetry will be discovered at high energies, it affords the theorist extra freedom and control. Field theories with supersymmetry show similar phenomena to nonsupersymmetric theories but are often easier to work with. Particularly, supersymmetric theories have special operators which are invariant under some of the supersymmetry generators and therefore belong to shorter multiplets of the algebra and may be protected from quantum corrections. In N = 4 supersymmetric YangMills theory the local operators preserving some of the supersymmetry generators are well studied. In the dual string theory on AdS5 ×S 5
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.
Preprint typeset in JHEP style PAPER VERSION Scattering of single spikes
, 710
"... Abstract: We apply the dressing method to a string solution given by a static string wrapped around the equator of a threesphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with mu ..."
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Abstract: We apply the dressing method to a string solution given by a static string wrapped around the equator of a threesphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and compute the scattering phase shift. As a function of the dressing parameters, the result is exactly the same as the one for the giant magnon, up to nonlogarithmic terms. This suggests that the single spikes should be described by an integrable spin chain closely related to the one associated to the giant magnons. The field theory interpretation of such spin chain however is still unclear. Keywords: Classical string solutions, AdS/CFT, spin chains, integrable systems. Contents
Near BPS Wilson Loop in βdeformed Theories
, 2007
"... We propose a definition of the Wilson loop operator in the N = 1 βdeformed supersymmetric YangMills theory. Although the operator is not BPS, it has a finite expectation value at least up to order (g 2 N) 2. This does not happen generally for a generic nonBPS Wilson loop whose expectation value ..."
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We propose a definition of the Wilson loop operator in the N = 1 βdeformed supersymmetric YangMills theory. Although the operator is not BPS, it has a finite expectation value at least up to order (g 2 N) 2. This does not happen generally for a generic nonBPS Wilson loop whose expectation value is UV divergent. For this reason we call this a nearBPS Wilson loop and conjecture that its exact expectation value is finite. We derive the general form of the boundary condition satisfied by the dual string worldsheet and find that it is deformed. Finiteness of the expectation value of the Wilson loop, together with some rather remarkable properties of the LuninMaldacena metric and the Bfield, fixes the boundary condition to be one which is characterized by the vielbein of the deformed supergravity metric. The Wilson loop operators provide natural candidates as dual descriptions to some of the existing Dbrane configurations in the LuninMaldacena background. We also construct the string dual configuration for a near1/4 BPS circular Wilson loop operator. The string lies on a deformed threesphere instead of a twosphere as in the undeformed case. The expectation value of the Wilson loop operator is computed using the AdS/CFT correspondence and is found to be independent of the deformation. We conjecture that the exact expectation value of the Wilson loop is given by the