Wilson loops in 4d SYM, in 2d YM and in 0d

APA

Drukker, N. (2007). Wilson loops in 4d SYM, in 2d YM and in 0d. Perimeter Institute for Theoretical Physics. https://pirsa.org/07100008

MLA

Drukker, Nadav. Wilson loops in 4d SYM, in 2d YM and in 0d. Perimeter Institute for Theoretical Physics, Oct. 30, 2007, https://pirsa.org/07100008

BibTex

          @misc{ scivideos_PIRSA:07100008,
            doi = {10.48660/07100008},
            url = {https://pirsa.org/07100008},
            author = {Drukker, Nadav},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Wilson loops in 4d SYM, in 2d YM and in 0d},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2007},
            month = {oct},
            note = {PIRSA:07100008 see, \url{https://scivideos.org/pirsa/07100008}}
          }
          

Nadav Drukker Humboldt University of Berlin

Source Repository PIRSA

Abstract

I will present a construction of supersymmetric Wilson loop operators in N=4 SYM for an arbitrary path on an S3 subspace of space-time. I will show how they are evaluated in AdS and in particular that the string world-sheet is a generalized calibration with respect to an almost-complex structure associate to the supersymmetries preserved by the loop. I will present some special examples and in the case when the loop is restricted to an S2, some evidence that the calculation reduces to a perturbative calculation in YM in 2-dimensions on S2. This in turn is exactly soluble in terms of a 0-dimensional matrix model.