Abstract
We study spinning particle/defect geometries in the context of AdS3/CFT2. These solutions lie below the BTZ threshold, and can be obtained from identifications of AdS3. We construct the Feynman propagator by solving the bulk equation of motion in the spinning particle geometry, summing over the modes of the fields and passing to the boundary. The quantization of the scalar fields becomes challenging when confined to the regions that are causally well-behaved. If the region containing closed timelike curves (CTCs) is included, the normalization of the scalar fields enjoys an analytical simplification and the propagator can be expressed as an infinite sum over image geodesics. In the dual CFT2, the propagator can be recast as the HHLL four-point function, where by taking into account the PSL(2, ℤ) modular images, we recover the bulk computation. We comment on the casual behavior of bulk geometries associated with single-trace operators of spin scaling with the central charge below the BTZ threshold.
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Acknowledgments
I am grateful to David Berenstein for many insightful discussions, his patience, and his encouragement. I would also like to thank Steven Carlip, Gary Horowitz, Jesse Held, Adolfo Holguin, Maciej Kolanowski, Sean McBride, and Zhencheng Wang for helpful discussions. I owe a special thanks to David Grabovsky and Hewei Frederic Jia for many thorough discussions and for explaining their papers [58, 74, 75] to me. It is a pleasure to thank David Berenstein and Adolfo Holguin for detailed comments and feedback on a draft of the paper. I wish to express my gratitude for the hospitality and inclusiveness of the Department of Physics at UCSB, where this work was completed. This work is supported in part by funds from the University of California.
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Li, Z. Spinning particle geometries in AdS3/CFT2. J. High Energ. Phys. 2024, 216 (2024). https://doi.org/10.1007/JHEP05(2024)216
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DOI: https://doi.org/10.1007/JHEP05(2024)216