Abstract
We discuss the notion of translation-invariant vacua for 2d chiral algebras and relate it to the notion of the associated variety. The two-dimensional chiral algebra associated to four-dimensional \( \mathcal{N} \) = 4 U(N) SYM has a conjectural holographic dual involving the B-model topological string theory. We study the effect of non-zero vacuum expectation values on the chiral algebra correlation functions and derive a holographic dual Calabi-Yau geometry. We test our proposal by a large N analysis of correlation functions of determinant operators, whose saddles can be matched with semi-classical configurations of “Giant Graviton” D-branes in the bulk.
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Acknowledgments
It is a pleasure to thank Tomoyuki Arakawa, Kevin Costello, Jaume Gomis, Ji Hoon Lee and Aiden Suter for useful conversations. This research was supported in part by a grant from the Krembil Foundation. DG is supported by the NSERC Discovery Grant program and by the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities.
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Budzik, K., Gaiotto, D. Twisted holography without conformal symmetry. J. High Energ. Phys. 2023, 104 (2023). https://doi.org/10.1007/JHEP12(2023)104
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DOI: https://doi.org/10.1007/JHEP12(2023)104