On skew tau-functions in higher spin theory

D. Melnikov, A. Mironov*, A. Morozov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Abstract: Recent studies of higher spin theory in three dimensions concentrate on Wilson loops in Chern-Simons theory, which in the classical limit reduce to peculiar corner matrix elements between the highest and lowest weight states in a given representation of SL(N). Despite these “skew” tau-functions can seem very different from conventional ones, which are the matrix elements between the two highest weight states, they also satisfy the Toda recursion between different fundamental representations. Moreover, in the most popular examples they possess simple representations in terms of matrix models and Schur functions. We provide a brief introduction to this new interesting field, which, after quantization, can serve as an additional bridge between knot and integrability theories.

Original languageEnglish
Article number27
JournalJournal of High Energy Physics
Issue number5
StatePublished - 1 May 2016
Externally publishedYes


  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • Higher Spin Symmetry
  • Integrable Hierarchies

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