Das Conformal Bootstrap Programm

• Antragsteller: Pedro Liendo, Ph.D.
• Fachliche Zuordnung: Kern- und Elementarteilchenphysik, Quantenmechanik, Relativitätstheorie, Felder
• Förderung: Förderung von 2018 bis 2025
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 400570283

• Erstellungsjahr: 2023

Zusammenfassung der Projektergebnisse

All in all, the five years of funding were quite productive. The group quickly reached full capacity within a year and the outline suggested in the original proposal was used as a guideline in most of our projects. We attempted to study a diverse collection of setups. Defects played a major role in our research but not always. We considered the physics of bulk operators away from the defect, but also local excitations on the defect itself. These configurations probe different physics and the techniques needed, though similar, are not always the same. We also tried to keep a healthy balance between bosonic and supersymmetric models. Without supersymmetry results tend to be rather general and less specific. Supersymmetric models on the other hand are amenable to exact solutions. Among the highlights of our research I would put our paper on defects in free theories [P3], as it is quite general and does not focus on a specific theory. I would also single out our work on defect correlators in N = 4 SYM [P9], this is a result valid for one specific highly-supersymmetric model, but it allowed us to obtained the dispersion relation mentioned in the report, and it also connects nicely with modern research on Mellin space. Actually, Aleix during his postdoc, continued exploring this setup and found a nice closed-form expression valid for any value of the R-charge of the external operators [5]. Although we tried to follow the original proposal as much as possible, as predicted in the interim report (and foreshadowed by one of the original referees of this proposal), the conformal window of super-QCD went down in our list of priorities. The bootstrap program does not seem ripe enough to tackle such a major open problem. On the other hand, defect CFT and “emergent supersymmetry” were (and still are) exciting and fruitful areas of research.

Projektbezogene Publikationen (Auswahl)

• A Lorentzian inversion formula for defect CFT. Journal of High Energy Physics, 2020(8).
  Liendo, Pedro; Linke, Yannick & Schomerus, Volker
  
• A quantum framework for AdS/dCFT through fuzzy spherical harmonics on S4. Journal of High Energy Physics, 2020(4).
  Gimenez-Grau, Aleix; Kristjansen, Charlotte; Volk, Matthias & Wilhelm, Matthias
  
• Bootstrapping line defects in $$ \mathcal{N} $$ = 2 theories. Journal of High Energy Physics, 2020(3).
  Gimenez-Grau, Aleix & Liendo, Pedro
  
• On the ϕ3 theory above six dimensions. Journal of High Energy Physics, 2020(4).
  Rong, Junchen & Zhu, Jierong
  
• A roadmap for bootstrapping critical gauge theories: decoupling operators of conformal field theories in $d>2$ dimensions. SciPost Physics, 11(6).
  He, Yin-Chen; Rong, Junchen & Su, Ning
  
• Bootstrapping Coulomb and Higgs branch operators. Journal of High Energy Physics, 2021(1).
  Gimenez-Grau, Aleix & Liendo, Pedro
  
• Bootstrapping the $$ \mathcal{N} $$ = 1 Wess-Zumino models in three dimensions. Journal of High Energy Physics, 2021(6).
  Rong, Junchen & Su, Ning
  
• Line and surface defects for the free scalar field. Journal of High Energy Physics, 2021(1).
  Lauria, Edoardo; Liendo, Pedro; van Rees, Balt C. & Zhao, Xiang
  
• Non-Wilson-Fisher kinks of $O(N)$ numerical bootstrap: from the deconfined phase transition to a putative new family of CFTs. SciPost Physics, 10(5).
  He, Yin-Chen; Rong, Junchen & Su, Ning
  
• Seeking SUSY fixed points in the 4 − ϵ expansion. Journal of High Energy Physics, 2021(12).
  Liendo, Pedro & Rong, Junchen
  
• Superconformal boundaries in 4 − ϵ dimensions. Journal of High Energy Physics, 2021(4).
  Gimenez-Grau, Aleix; Liendo, Pedro & van Vliet, Philine
  
• The old conformal bootstrap revisited
  P. Liendo; Z. Liu & J. Rong
  
• Two-point correlator of chiral primary operators with a Wilson line defect in $$ \mathcal{N} $$ = 4 SYM. Journal of High Energy Physics, 2021(5).
  Barrat, Julien; Liendo, Pedro & Plefka, Jan
  
• Bootstrapping holographic defect correlators in $$ \mathcal{N} $$ = 4 super Yang-Mills. Journal of High Energy Physics, 2022(4).
  Barrat, Julien; Gimenez-Grau, Aleix & Liendo, Pedro
  
• Bootstrapping line defects with O(2) global symmetry. Journal of High Energy Physics, 2022(11).
  Gimenez-Grau, Aleix; Lauria, Edoardo; Liendo, Pedro & van Vliet, Philine
  
• Bootstrapping monodromy defects in the Wess-Zumino model. Journal of High Energy Physics, 2022(5).
  Gimenez-Grau, Aleix & Liendo, Pedro
  
• Conformal bootstrap bounds for the $U(1)$ Dirac spin liquid and $N=7$ Stiefel liquid. SciPost Physics, 13(2).
  He, Yin-Chen; Rong, Junchen & Su, Ning
  
• Multipoint correlators on the supersymmetric Wilson line defect CFT. Journal of High Energy Physics, 2022(8).
  Barrat, Julien; Liendo, Pedro; Peveri, Giulia & Plefka, Jan
  
• A dispersion relation for defect CFT. Journal of High Energy Physics, 2023(2).
  Barrat, Julien; Gimenez-Grau, Aleix & Liendo, Pedro
  
• Multipoint correlators on the supersymmetric Wilson line defect CFT. Part II. Unprotected operators. Journal of High Energy Physics, 2023(8).
  Barrat, Julien; Liendo, Pedro & Peveri, Giulia
  
• New physics in Bq0–B¯q0 mixing: present challenges, prospects, and implications for Bq0⃗μ+μ−. Journal of Physics G: Nuclear and Particle Physics, 50(4), 045003.
  De Bruyn, Kristof; Fleischer, Robert; Malami, Eleftheria & van Vliet, Philine
  
• Spontaneous breaking of finite group symmetries at all temperatures. SciPost Physics, 14(6).
  Liendo, Pedro; Rong, Junchen & Zhang, Haoyu
  
• Line defect correlators in fermionic CFTs. Journal of High Energy Physics, 2025(5).
  Barrat, Julien; Liendo, Pedro & van Vliet, Philine