The dilatation operator for defect conformal N=4 SYM

2019/09/26 by Asger C. Ipsen, Ipsen, Asger C., Kasper E. Vardinghus +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.1909.12181

7 pages

arxiv created 2019/09/26 · openalex publication_date 2019/09/26 · arxiv updated 2019/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the dilatation operator for local "open string" operators situated at the interface of a certain supersymmetric defect version of N=4 super-Yang-Mills theory. This field theory is dual to a probe D5-brane intersecting a stack of D3-branes where the number of D3-branes can change between the two sides the interface. DeWolfe and Mann obtained the dilation operator in the special case of an equal number of D3-branes. Using a combination explicit field theory calculations and integrability considerations we are able to extend this result to the general case.

Citations

• Boundary conditions for integrable quantum systems

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