Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
arXiv:1212.6109 · doi:10.1007/JHEP02(2013)107
Abstract
For the homogeneous configuration given by the long string limit of the folded string with a spin in AdS3 and a spin and a winding number in S1, we solve the auxiliary linear problem in the finite-gap method and construct the Lax operator to obtain an algebraic curve. We show that the long spiky string in AdS_3 has the same algebraic curve as the null cusp Wilson loop. The algebraic curve for the circular winding string in AdS3xS1 is evaluated. The Virasoro constraint is discussed to characterize the branch points of each curve.
19 pages, LaTeX, no figures
References in corpus (25)
- Gluon scattering amplitudes at strong coupling
- Comments on operators with large spin
- Logarithmic scaling in gauge/string correspondence
- A Test of the AdS/CFT Correspondence Using High-Spin Operators
- On three-point correlation functions in the gauge/gravity duality
- Two-loop world-sheet corrections in AdS_5 x S^5 superstring
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
- Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
- The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
- A Generalized Scaling Function for AdS/CFT
- Strong-coupling expansion of cusp anomaly from quantum superstring
- On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
- On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
- Strong coupling limit of Bethe Ansatz equations
- Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
- Solitons and AdS String Solutions
- Scaling function in AdS/CFT from the O(6) sigma model
- Wave functions and correlation functions for GKP strings from integrability
- Large Winding Sector of AdS/CFT
- Spiky Strings and Spin Chains
- A large spin limit of strings on AdS_5 x S^5 in a non-compact sector
- χ-Systems for Correlation Functions
- A Spin Chain from String Theory
- Rotating Wilson loops and open strings in AdS3
- Conformal SO(2,4) Transformations for the Helical AdS String Solution
Cited by in corpus (9)
- Macroscopic (and Microscopic) Massless Modes
- Wilson loops and minimal area surfaces in hyperbolic space
- Wilson loops and Riemann theta functions II
- Algebraic Curves for Factorized String Solutions
- Minimal area surfaces dual to Wilson loops and the Mathieu equation
- Minimal area surfaces in AdS_{n+1} and Wilson loops
- Integrability and Wilson loops: the wavy line contour
- Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
- On the algebraic curves for circular and folded strings in