Integrable Conformal Defects in N=4 SYM

2024/06/19 by Marius de Leeuw, de Leeuw, Marius, Adolfo Holguin +1 · 4 citations
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Conformal map #FOS: Physical sciences #Geometry #High Energy Physics - Theory (hep-th) #Integrable system #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum electrodynamics #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2406.13741

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2024/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we classify integrable conformal defects in N=4 SYM theory for which the scalar fields pick up a non-trivial vacuum expectation value. Defects of this form correspond to Dirichlet boundary conditions that have a pole at the defect. These set-ups typically appear on the field theory side of probe brane set-ups in the AdS/CFT correspondence. We show that such defects, for any codimension, are related to fuzzy spheres. We discuss the properties of the different possible fuzzy spheres that can appear and present the corresponding Matrix Product States. We furthermore set-up the quantum field theoretic framework by computing the mass matrix and finding the propagators.

Cited by

• Holographic interpolations of defect CFTs
• Boundary Integrability from the Fuzzy Three Sphere
• Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain
• Holography of a novel codimension-2 defect CFT

Related

• Integrable Holographic Defect CFTs
• Integrability and Conformal Blocks for Surface Defects in N=4 SYM
• The dilatation operator for defect conformal N=4 SYM
• Line defects in conformal field theory: from weak to strong coupling
• Boundary Integrability from the Fuzzy Three Sphere