English

Spin-Bits and N=4 SYM

High Energy Physics - Theory 2017-08-23 v2

Abstract

We briefly review the spin-bit formalism, describing the non-planar dynamics of the N=4,d=4\mathcal{N}=4,d=4 Super Yang-Mills SU(N) gauge theory. After considering its foundations, we apply such a formalism to the su(2)su(2) sector of purely scalar operators. In particular, we report an algorithmic formulation of a deplanarizing procedure for local operators in the planar gauge theory, used to obtain planarly-consistent, testable conjectures for the higher-loop su(2)su(2) spin-bit Hamiltonians. Finally, we outlook some possible developments and applications.

Keywords

Cite

@article{arxiv.hep-th/0604174,
  title  = {Spin-Bits and N=4 SYM},
  author = {Alessio Marrani},
  journal= {arXiv preprint arXiv:hep-th/0604174},
  year   = {2017}
}

Comments

29 pages; contribution to the Proceedings of the 43rd Erice International School of Subnuclear Physics ``Towards New Milestones in our Quest to go Beyond the Standard Model'', Erice, Italy (29 August--7 September 2005); v2: some references added