Abstract
De-Sitter(dS) space allows for a generalized class of vacua, known as α–vacua, described by some parameters. The Bunch-Davies (BD) vacuum is a point in this parameter space. The cosmological correlation function in BD vacuum in four dimensions and can be interpreted as CFT3 correlation function of certain operators. However, the correlation function in α–vacua takes a much more complicated form. In this paper, we give a simple prescription to compute correlation function in α–vacua in terms of correlation function of BD vacuum. We also show that the correlation function in the α–vacua can be related to three-dimensional CFT correlation functions if we relax the requirement of consistency with OPE limit. Relaxation of consistency with OPE limit can be naturally achieved in momentum space.
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Acknowledgments
The work of S.J is supported by the Ramanujan Fellowship. AM would like to acknowledge the support of CSIR-UGC (JRF) fellowship (09/936(0212)/2019-EMR-I). SS and SK acknowledge the support of the Department of Atomic Energy, Government of India, under Project Identification No. RTI 4002 and support from the Infosys Foundation in the form of the Endowment for the Study of the Quantum Structure of Spacetime. We would like to thank S. P. Trivedi for collaboration and extensive discussion on the content of the draft. We thank S. Minwalla, D. Ghosh, and S. Mukhi for their helpful discussions. SJ would like to thank DTP, TIFR for providing excellent hospitality during the course of the work. We acknowledge our debt to the people of India for their steady support of research in basic sciences.
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Jain, S., Kundu, N., Kundu, S. et al. A CFT interpretation of cosmological correlation functions in α−vacua in de-Sitter space. J. High Energ. Phys. 2023, 111 (2023). https://doi.org/10.1007/JHEP05(2023)111
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DOI: https://doi.org/10.1007/JHEP05(2023)111