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Algebraic Curves for Long Folded and Circular Winding
 Strings in AdS5xS5,” JHEP 1302 (2013) 107 [arXiv:1212.6109 [hepth
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Pohlmeyer reduction for superstrings in AdS space
, 2012
"... The Pohlmeyer reduced equations for strings moving only in the AdS subspace of AdS5 × S5 have been used recently in the study of classical Euclidean minimal surfaces for Wilson loops and some semiclassical threepoint correlation functions. We find an action that leads to these reduced superstring ..."
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The Pohlmeyer reduced equations for strings moving only in the AdS subspace of AdS5 × S5 have been used recently in the study of classical Euclidean minimal surfaces for Wilson loops and some semiclassical threepoint correlation functions. We find an action that leads to these reduced superstring equations. For example, for a bosonic string in AdSn such an action contains a Liouville scalar part plus a K/K gauged WZW model for the group K = SO(n − 2) coupled to another term depending on two additional fields transforming as vectors under K. Solving for the latter fields gives a nonabelian Toda model coupled to the Liouville theory. For n = 5 we generalize this bosonic action to include the S5 contribution and fermionic terms. The corresponding reduced model for the AdS2 × S2 truncation of the full AdS5 × S5 superstring turns out to be equivalent to N = 2 super Liouville theory. Our construction is based on taking a limit of the previously found reduced theory actions for bosonic strings in AdSn×S1 and superstrings in AdS5×S5. This new action may be useful as a starting point for possible quantum generalizations or deformations of the classical Pohlmeyerreduced theory. We give examples of simple extrema of this reduced superstring action which represent strings moving in the AdS5 part of the space. Expanding near these backgrounds we compute the corresponding fluctuation spectra and show that they match the spectra found in the original superstring theory.
Generalized cusp in AdS4 × CP³ and more oneloop results from semiclassical strings
, 2014
"... We evaluate the exact oneloop partition function for fundamental strings whose worldsurface ends on a cusp at the boundary of AdS4 and has a “jump” in CP³. This allows us to extract the stringy prediction for the ABJM generalized cusp anomalous dimension ΓABJMcusp (φ, θ) up to NLO in sigmamodel p ..."
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We evaluate the exact oneloop partition function for fundamental strings whose worldsurface ends on a cusp at the boundary of AdS4 and has a “jump” in CP³. This allows us to extract the stringy prediction for the ABJM generalized cusp anomalous dimension ΓABJMcusp (φ, θ) up to NLO in sigmamodel perturbation theory. With a similar analysis, we present the exact partition functions for folded closed string solutions moving in the AdS3 parts of AdS4×CP³ and AdS3×S3×S3×S1 backgrounds. Results are obtained applying to the string solutions relevant for the AdS4/CFT3 and AdS3/CFT2 correspondence the tools previously developed for their AdS5 × S5 counterparts.
Dressed Wilson Loops on S2
"... We present a new, twoparameter family of string solutions corresponding to the holographic duals of specific 1/8BPS Wilson loops on S2 in N = 4 supersymmetric YangMills theory. The solutions are obtained using the dressing method on the known longitude solution in the context of the auxiliary σ ..."
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We present a new, twoparameter family of string solutions corresponding to the holographic duals of specific 1/8BPS Wilson loops on S2 in N = 4 supersymmetric YangMills theory. The solutions are obtained using the dressing method on the known longitude solution in the context of the auxiliary σmodel on S3 put forth in arXiv:0905.0665[hepth]. We verify that the regularized area of the worldsheets are consistent with expectations. ar X iv
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, 2014
"... In this paper we extend and simplify previous results regarding the computation of Euclidean Wilson loops in the context of the AdS/CFT correspondence, or, equivalently, the problem of finding minimal area surfaces in hyperbolic space (Euclidean AdS3). If the Wilson loop is given by a boundary curve ..."
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In this paper we extend and simplify previous results regarding the computation of Euclidean Wilson loops in the context of the AdS/CFT correspondence, or, equivalently, the problem of finding minimal area surfaces in hyperbolic space (Euclidean AdS3). If the Wilson loop is given by a boundary curve ~X(s) we define, using the integrable properties of the system, a family of curves ~X(λ, s) depending on a complex parameter λ known as the spectral parameter. This family has remarkable properties. As a function of λ, ~X(λ, s) has cuts and therefore is appropriately defined on a hyperelliptic Riemann surface, namely it determines the spectral curve of the problem. Moreover, ~X(λ, s) has an essential singularity at the origin λ = 0. The coefficients of the expansion of ~X(λ, s) around λ = 0, when appropriately