Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
By L. Alday, J. Maldacena. 2009
225 citations recorded by the source corpus.
We consider minimal surfaces in three dimensional anti-de-Sitter space that end at the AdS boundary on a polygon given by a sequence of null segments. The problem can be reduced to a certain generalized Sinh-Gordon equation and to SU(2) Hitchin equations. We describe in detail the mathematical problem that needs to be solved. This problem is mathematically the same as the one studied by Gaiotto, Moore and Neitzke in the context of the moduli space of certain supersymmetric theories. Using their results we can find the explicit answer for the area of a surface that ends on an eight-sided polygon. Via the gauge/gravity duality this can also be interpreted as a certain eight-gluon scattering amplitude at strong coupling. In addition, we give fairly explicit solutions for regular polygons.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a21d77e272c6563bb8bb4691adbff7d3553a2c0f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Wall-crossing in coupled 2d-4d systems (2011, methodology): “Recently the methods of [1, 2] have found some surprising applications to scattering in N = 4 super Yang-Mills theory [82, 83, 84, 85].”
- Hexagon functions and the three-loop remainder function (2013, background): “[65, 66] found impressive numerical agreement, to within 3% or better, between rescaled versions of the two-loop [67] and strong-coupling [68] octagon remainder function, as a function of both parameters.”
- An operator product expansion for polygonal null Wilson loops (2010, methodology): “The computation of the regularized area (or better, the remainder function) for the minimal surface in AdS3 ending on a given null polygon on the boundary is done in [16, 25 ] through three basic steps.”
- Framed BPS states (2010, unknown): “[5, 6] + ρ5[5, 4] + ρ4[3, 2] Λ (3)ρ5[5, 2] + + ρ3[1, 0] ρ4ρ3[3, 0] Λ (2)ρ5[5, 0] + + + ρ2[−1,−2] (ρ3 + Λ(2)ρ4)[1,−2] ρ4ρ3[3,−2] ρ5[5,−2] + + + [−3,−4] + ρ4[−1,−4] + Λ(2)ρ4[1,−4] + ρ4[3,−4] + [5,−4] (4.”
- Quantization of Integrable Systems and Four Dimensional Gauge Theories (2009, background): “the moment. Parallel developments: There are several recent developments which we feel are related to our story, including the obvious ones, such as the integrability in the AdS/CFT context, but also [43, 55, 58, 59, 60, 61]. It is tempting to conclude from the convergence of these topics that the p”
- Symmetries of Tree-level Scattering Amplitudes in N = 6 Superconformal Chern{Simons Theory (2010, methodology): “gurations due to conformal symmetry [18{20]. There has also been remarkable progress on the application of integrable methods to the strong-coupling regime of scattering amplitudes in N= 4 SYM theory [21]. On the other hand, little is known about scattering amplitudes in the AdS4/CFT3 correspondence”
- Form factors at strong coupling via a Y-system (2010, methodology): “Adiv and ABDS−like are known and can be found in [ 11 ] (equation 5.8).”
- Space-time S-matrix and flux tube S-matrix II. Extracting and matching data (2013, background): “One additional point of data for scattering amplitudes is their value at strong coupling [40, 64, 65].”
- Y-system for scattering amplitudes (2010, methodology): “The full result in [17] contains an extra piece Aextra which is related to an extra complication that arises in the case that n/2 is even.”