PIRSA:07100008

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

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

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

          @misc{ pirsa_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},
            year = {2007},
            month = {oct},
            note = {PIRSA:07100008 see, \url{https://pirsa.org}}
          }

Nadav Drukker Humboldt University of Berlin

DOI 10.48660/07100008
Collection
Talk Type Scientific Series
Subject

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.