DGKT vacua satisfy the holographic cubic coupling constraint if and only if the Calabi-Yau threefold is rigid (h^{2,1}=0).
Single particle operators and their correlators in freeN= 4 SYM
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A holographic consistency condition derived from large-N factorization requires vanishing cubic couplings for extremal-dimension operators and is non-trivially satisfied in DGKT AdS4 string vacua.
Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
Cancellations that satisfy a holographic three-point function constraint in DGKT vacua persist across examples with h^{2,1}=0 and more complicated triple-intersection numbers.
citing papers explorer
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$\mathcal{N}=1$ spectra, cubic couplings and the rigid fate of DGKT
DGKT vacua satisfy the holographic cubic coupling constraint if and only if the Calabi-Yau threefold is rigid (h^{2,1}=0).
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A Holographic Constraint on Scale Separation
A holographic consistency condition derived from large-N factorization requires vanishing cubic couplings for extremal-dimension operators and is non-trivially satisfied in DGKT AdS4 string vacua.
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Broken and restored: a holographic constraint for AdS vacua with orbifolds
Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
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A note on the holographic consistency of DGKT-type vacua with $h^{2,1}=0$
Cancellations that satisfy a holographic three-point function constraint in DGKT vacua persist across examples with h^{2,1}=0 and more complicated triple-intersection numbers.