PIRSA:07100008 Scientific Series Quantum Fields and Strings

DOI10.48660/07100008

Series: Quantum Fields and Strings

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}}
}

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.

Resources

Next talk

Related Talks