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Unitarity Method for Holographic Defects
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abstract
We initiate the study of loop-level holographic correlators in the presence of defects. We present a unitarity method which constructs loop corrections from lower order data. As an example, we apply this method to 6d $\mathcal{N}=(2,0)$ theories with $\frac{1}{2}$-BPS surface defects and report the first holographic two-point function at one loop.
Forward citations
Cited by 4 Pith papers
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Notes on flat-space limit of holographic defect correlators in position space
A position-space flat-space limit formula for holographic defect two-point functions is derived, proven equivalent to the Mellin-space conjecture, and checked against Wilson loops, surface defects, and giant gravitons.
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Dissecting supergraviton six-point function with lightcone limits and chiral algebra
A bootstrap combining lightcone OPEs with chiral algebra and a topological twist determines the six-point supergraviton Mellin amplitude in AdS5 x S5 up to an overall constant, passing a flat-space KLT check.
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Quantum Gravity Corrections to Giant Graviton Correlators
One-loop AdS supergravity correction to maximal giant graviton–supergraviton correlators is reconstructed in closed Mellin and position form via defect unitarity, including leading-twist anomalous dimensions.
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Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect
A chiral-algebra bootstrap reproduces the defect two-point correlators of the 6d (2,0) theory using only bulk-channel data and predicts new defect-channel OPE coefficients.
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