PIRSA:11080043

Euclidean Wilson Loops and Riemann Theta Functions

Kruczenski, M. (2011). Euclidean Wilson Loops and Riemann Theta Functions. Perimeter Institute. https://pirsa.org/11080043

Kruczenski, Martin. Euclidean Wilson Loops and Riemann Theta Functions. Perimeter Institute, Aug. 15, 2011, https://pirsa.org/11080043 

          @misc{ pirsa_PIRSA:11080043,
            doi = {10.48660/11080043},
            url = {https://pirsa.org/11080043},
            author = {Kruczenski, Martin},
            keywords = {},
            language = {en},
            title = {Euclidean Wilson Loops and Riemann Theta Functions},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {aug},
            note = {PIRSA:11080043 see, \url{https://pirsa.org}}
          }

Martin Kruczenski Purdue University

DOI 10.48660/11080043
Collection
Talk Type Conference

Abstract

For N=4 super Yang-Mills theory, in the large-N limit and at strong coupling, Wilson loops can be computed using the AdS/CFT correspondence. In the case of flat Euclidean loops the dual computation consists in finding minimal area surfaces in Euclidean AdS3 space. In such case very few solutions were known. In this talk I will describe an infinite parameter family of minimal area surfaces that can be described analytically using Riemann Theta functions. Furthermore, for each Wilson loop a one parameter family of deformations that preserve the area can be exhibited explicitly. The area is given by a one dimensional integral over the world-sheet boundary.