The Panorama of Spin Matrix theory

Stefano Baiguera, Troels Harmark, Yang Lei

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Spin Matrix theory describes near-BPS limits of N = 4 SYM theory, which enables us to probe finite N effects like D-branes and black hole physics. In previous works, we have developed the spherical reduction and spin chain methods to construct Spin Matrix theory for various limits. In this paper, by considering a supercharge Q which is cubic in terms of the letters, we construct the Hamiltonian of the largest Spin Matrix theory of N = 4 SYM, called the PSU(1, 2|3) Spin Matrix theory, as H= {QQ}. We show the resulting Hamiltonian is automatically positive definite and manifestly invariant under supersymmetry. The Hamiltonian is made of basic blocks which transform as supermultiplets. A novel feature of this Hamiltonian is its division into D-terms and F-terms that are separately invariant under PSU(1, 2|3) symmetry and positive definite. As all the other Spin Matrix theories arising from N = 4 SYM can be acquired by turning off certain letters in the theory, we consider our work as revealing the “Panorama” of Spin Matrix theory.

Original languageEnglish
Article number75
JournalJournal of High Energy Physics
Issue number4
StatePublished - 1 Apr 2023


  • AdS-CFT Correspondence
  • Field Theories in Lower Dimensions
  • Supersymmetric Effective Theories
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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