PIRSA:12050031

Minimal Area Surfaces, Riemann Theta Functions, and Integrability of Wilson Loops

Kruczenski, M. (2012). Minimal Area Surfaces, Riemann Theta Functions, and Integrability of Wilson Loops. Perimeter Institute. https://pirsa.org/12050031

Kruczenski, Martin. Minimal Area Surfaces, Riemann Theta Functions, and Integrability of Wilson Loops. Perimeter Institute, May. 07, 2012, https://pirsa.org/12050031 

          @misc{ pirsa_PIRSA:12050031,
            doi = {10.48660/12050031},
            url = {https://pirsa.org/12050031},
            author = {Kruczenski, Martin},
            keywords = {},
            language = {en},
            title = {Minimal Area Surfaces, Riemann Theta Functions, and Integrability of Wilson Loops},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {may},
            note = {PIRSA:12050031 see, \url{https://pirsa.org}}
          }

Martin Kruczenski Purdue University

Talk numberPIRSA:12050031
DOI10.48660/12050031
Collection
Talk Type Conference

Abstract

In this talk I will review recent results we obtained regarding the computation of Wilson loops in the context of the AdS/CFT correspondence. According to such correspondence Wilson loops are related to minimal area surfaces in hyperbolic space. The problem reduces to solving a set of non-linear but integrable differential equations. The solutions can be expressed in terms of Riemann theta functions. Other methods such as the dressing method applied to this problem will also be discussed.