Baxter Q-Operatoren und supersymmetrische Eichtheorien

• Antragsteller: Dr. Rouven Frassek
• Fachliche Zuordnung: Kern- und Elementarteilchenphysik, Quantenmechanik, Relativitätstheorie, Felder
• Förderung: Förderung von 2019 bis 2021
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 416527151

• Erstellungsjahr: 2021

Zusammenfassung der Projektergebnisse

The fellowship has let to several interesting results. We revealed some of the structure of the QQ-system for spin chains beyond A-type and understood what the main differences are compared to D-type. The QQ-system obtained is ready to be used for the Fishnet CFT and also ready to be adapted to ABJM Chern-Simons theory. We have learned that for the full understanding of the QQ-system the results for Lie algebra theory, in particular the BGG resolution, can not immediately be used for the Yangian for nonminuscule weights. The absence of the evaluation map poses interesting new questions and requires the development of new methods. We hope to return to these fundamental questions in a future project.

Projektbezogene Publikationen (Auswahl)

• “Lax matrices from antidominantly shifted Yangians and quantum affine algebras” (2020)
  R. Frassek, V. Pestun and A. Tsymbaliuk
  (Siehe online unter https://doi.org/10.1016/j.aim.2022.108283)
• “Oscillator realisations associated to the D-type Yangian: Towards the operatorial Q-system of orthogonal spin chains,” Nucl. Phys. B 956 (2020), 115063
  R. Frassek
  (Siehe online unter https://doi.org/10.1016/j.nuclphysb.2020.115063)
• “QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains,” JHEP 02 (2021), 193
  G. Ferrando, R. Frassek and V. Kazakov
  (Siehe online unter https://doi.org/10.1007/JHEP02(2021)19)
• “Rational Lax matrices from antidominantly shifted extended Yangians: BCD types” (2021)
  R. Frassek and A. Tsymbaliuk
  (Siehe online unter https://doi.org/10.1007/s00220-022-04345-6)