TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.4.109
TI  - Twisted holography on AdS$_3 \times S^3 \times$ K3 & the planar chiral algebra
PY  - 2024/10/09
UR  - https://scipost.org/SciPostPhys.17.4.109
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 4
SP  - 109
A1  - Fernández, Víctor E.
AU  - Paquette, Natalie
AU  - Williams, Brian
AB  - In this work, we revisit and elaborate on twisted holography for AdS$_3 × S^3 × X$ with $X= T^4$, K3, with a particular focus on K3. We describe the twist of supergravity, identify the corresponding (generalization of) BCOV theory, and enumerate twisted supergravity states. We use this knowledge, and the technique of Koszul duality, to obtain the $N → ∞$, or planar, limit of the chiral algebra of the dual CFT. The resulting symmetries are strong enough to fix planar 2 and 3-point functions in the twisted theory or, equivalently, in a 1/4-BPS subsector of the original duality. This technique can in principle be used to compute corrections to the chiral algebra perturbatively in $1/N$.
ER  -

@Article{10.21468/SciPostPhys.17.4.109,
	title={{Twisted holography on AdS$_3 \times S^3 \times$ K3 & the planar chiral algebra}},
	author={Víctor E. Fernández and Natalie M. Paquette and Brian R. Williams},
	journal={SciPost Phys.},
	volume={17},
	pages={109},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.4.109},
	url={https://scipost.org/10.21468/SciPostPhys.17.4.109},
}