On coincidence of Alday-Maldacena-regularized $\sigma$-model and Nambu-Goto areas of minimal surfaces

Abstract

For the $\sigma$-model and Nambu-Goto actions, values of the Alday-Maldacena-regularized actions are calculated on solutions of the equations of motion with constant non-regularized Lagrangian. It turns out that these values coincide up to a factor, independent of boundary conditions.

3 pages, submitted to JETP Letters, corrected some misprints and missing factors in formulas (10) and (11)

References in corpus (4)

• Gluon scattering amplitudes at strong coupling
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
• Some properties of the Alday-Maldacena minimum
• Strings for Quantumchromodynamics

Cited by in corpus (10)

• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM
• Some properties of the Alday-Maldacena minimum
• Boundary Ring: a way to construct approximate NG solutions with polygon boundary conditions: I. Z_n-symmetric configurations
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle
• A Numerical Study of Gluon Scattering Amplitudes in N=4 Super Yang-Mills Theory at Strong Coupling
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
• Discretized Minimal Surface and the BDS Conjecture in N=4 Super Yang-Mills Theory at Strong Coupling
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• Deviation from Alday-Maldacena Duality For Wavy Circle