Space-like minimal surfaces in AdS x S

Abstract

We present a four parameter family of classical string solutions in AdS_3 x S^3, which end along a light-like tetragon at the boundary of AdS_3 and carry angular momentum along two cycles on the sphere. The string surfaces are space-like and their projections on AdS_3 and on S^3 have constant mean curvature. The construction is based on the Pohlmeyer reduction of the related sigma model. After embedding in AdS_5 x S^5, we calculate the regularized area and analyze conserved charges. Comments on possible relations to scattering amplitudes are presented. We also sketch time-like versions of our solutions.

v3: 30 pages, reference added, minor changes

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Cited by in corpus (14)

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• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Wilson loops and minimal area surfaces in hyperbolic space
• From Polygon Wilson Loops to Spin Chains and Back
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
• Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
• Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
• Vacuum type space-like string surfaces in AdS_3 x S^3
• Exceptional conformal anomaly of null polygonal Wilson loops
• Eikonal Approach to N=4 SYM Regge Amplitudes in the AdS/CFT Correspondence
• Novel aspects of integrability for NLSMs in symmetric spaces