A Quantum Check of Non-Supersymmetric AdS/dCFT

Abstract

Via a challenging field-theory computation, we confirm a supergravity prediction for the non-supersymmetric D3-D7 probe-brane system with probe geometry AdS_4 x S^2 x S^2, stabilized by fluxes. Supergravity predicts, in a certain double-scaling limit, the value of the one-point functions of chiral primaries of the dual defect version of N=4 SYM theory, where the fluxes translate into SO(3) x SO(3)-symmetric, Lie-algebra-valued vacuum expectation values for all six scalar fields. Using a generalization of the technique based on fuzzy spherical harmonics developed for the related D3-D5 probe-brane system, we diagonalize the resulting mass matrix of the field theory. Subsequently, we calculate the planar one-loop correction to the vacuum expectation values of the scalars in dimensional reduction and find that it is UV finite and non-vanishing. We then proceed to calculating the one-loop correction to the planar one-point function of any single-trace scalar operator and explicitly evaluate this correction for a 1/2-BPS operator of length L at two leading orders in the double-scaling limit, finding exact agreement with the supergravity prediction.

33+14 pages, 5 figures; v2: typos corrected, reference added, version published in JHEP

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Cited by in corpus (15)

• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Boundary states, overlaps, nesting and bootstrapping AdS/dCFT
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• One-point functions in AdS/dCFT
• Integrable domain walls in ABJM theory
• Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory
• Gravity dual of a multilayer system
• A non-integrable quench from AdS/dCFT
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• Fifth-order generalized Heisenberg supermagnetic models
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• Wilson lines in AdS/dCFT
• B-type anomaly coefficients for the D3-D7 domain wall