From algebraic curve to minimal surface and back
arXiv:1410.5436 · doi:10.1007/JHEP02(2015)090
Abstract
We derive the Lax operator for a very large family of classical minimal surface solutions in describing Wilson loops in SYM theory. These solutions, constructed by Ishizeki, Kruczenski and Ziama, are associated with a hyperellictic surface of odd genus. We verify that the algebraic curve derived from the Lax operator is indeed none-other than this hyperelliptic surface.
arXiv comment21 pages
References in corpus (13)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Classical/quantum integrability in AdS/CFT
- A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
- Thermodynamic Bubble Ansatz
- Integrability of Green-Schwarz Sigma Models with Boundaries
- Three-point functions in the SU(2) sector at strong coupling
- Notes on Euclidean Wilson loops and Riemann Theta functions
- Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
- Correlation Function of Circular Wilson Loops at Strong Coupling
- Wilson loops and minimal area surfaces in hyperbolic space
- Wilson loops and Riemann theta functions II
- Algebraic Curves for Factorized String Solutions
- Spectral curve for open strings attached to the Y=0 brane