Chiral primary one-point functions in the D3-D7 defect conformal field theory

Abstract

We compute the one-point functions of chiral primary operators in the non-supersymmetric defect conformal field theory that is dual to the IIB string theory on $Ad{S}_5\times S^5$ background with a probe D7 brane with internal gauge field flux, both in perturbative Yang-Mills theory and in the string theory dual. The former is expected to be accurate at weak coupling whereas the latter should be accurate in the planar strong coupling limit of the gauge theory. We consider the distinct cases where the D7 brane has geometry $Ad{S}_4\times S^4$ with an instanton bundle of the worldvolume gauge fields on $S^4$ and $Ad{S}_4\times S^2\times S^2$ with Dirac monopole bundles on each $S^2$. The gauge theory computation and the string theory computation can be compared directly in the planar limit and then a subsequent limit where the worldvolume flux is large. We find that there is exact agreement between the two in the leading order.

v2 minor edits and additional references added

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Cited by in corpus (31)

• One-point Functions in Defect CFT and Integrability
• One-point Functions in AdS/dCFT from Matrix Product States
• AdS/dCFT one-point functions of the SU(3) sector
• Scalar one-point functions and matrix product states of AdS/dCFT
• One-loop one-point functions in gauge-gravity dualities with defects
• Asymptotic one-point functions in AdS/dCFT
• Spin Chain Overlaps and the Twisted Yangian
• Fluctuations and instabilities of a holographic metal
• A Quantum Check of AdS/dCFT
• Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations
• Holographic entanglement entropy in AdS4/BCFT3 and the Willmore functional
• Holographic anyonic superfluidity
• Giant D5 Brane Holographic Hall State
• Structure of Holographic BCFT Correlators from Geodesics
• One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT
• One-point functions in AdS/dCFT
• Integrable domain walls in ABJM theory
• One-loop Wilson loops and the particle-interface potential in AdS/dCFT
• A Quantum Check of Non-Supersymmetric AdS/dCFT
• Circular Wilson loops in defect Conformal Field Theory
• String integrability of the ABJM defect
• A Quantum Framework for AdS/dCFT through Fuzzy Spherical Harmonics on $S^4$
• Two-point functions of SU(2)-subsector and length-two operators in dCFT
• Holographic correlators of semiclassical states in defect CFTs
• Giant Gravitons on the Schrodinger pp-wave geometry
• Circular Wilson loops in defect $\mathcal{N}$=4 SYM: phase transitions, double-scaling limits and OPE expansion
• Holography of a novel codimension-2 defect CFT
• Wilson loops correlators in defect $\mathcal{N}=4$ SYM
• Holographic interpolations of defect CFTs
• B-type anomaly coefficients for the D3-D7 domain wall
• Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory