Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
By D. Harlow, D. Stanford. 2011
199 citations recorded by the source corpus.
Dual AdS/CFT correlators can be computed in two ways: differentiate the bulk partition function with respect to boundary conditions, or extrapolate bulk correlation functions to the boundary. These dictionaries were conjectured to be equivalent by Banks, Douglas, Horowitz, and Martinec. We revisit this question at the level of bulk path integrals, showing that agreement in the presence of interactions requires careful treatment of the renormalization of bulk composite operators. By contrast, we emphasize that proposed dS/CFT analogues of the two dictionaries are inequivalent. Next, we show quite generally that the wave function for Euclidean AdS analytically continues to the dS wave function with Euclidean initial conditions. Most of our arguments consider interacting fields on a fixed background, but in a final section we discuss the inclusion of bulk dynamical gravity.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/15a9ec551859b1f6ea5ae3367403978e2c0fb271
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Citations in the corpus
- Higher spin realization of the DS/CFT correspondence (2011, methodology): “For Vasiliev gravity the on-shell action Icl can be computed by double analytic continuation from EAdS4 as in [6, 24].”
- Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “If we assume an approximate extrapolate dictionary [129] for the brane theory as well, these normalizable modes will also describe analogous excitations for the effective CFT on the brane.”
- Unitarity and the holographic S-Matrix (2011, background): “A complementary perspective involves placing an arbitrary effective field theory in Anti-deSitter space and computing the correlation functions of bulk fields as they approach the boundary [16, 34].”
- Analyticity and the holographic S-matrix (2011, methodology): “A similar direct quantization of AdS fields was given by [28, 29, 30] in the early days of AdS/CFT, and has been revisited in detail recently by [31].”
- Bulk and transhorizon measurements in AdS/CFT (2012, methodology): “To construct these, begin with the AdS/CFT dictionary [9, 10] in the ‘extrapolated’ form [11, 12, 13],”
- Symmetries and loops in inflation (2012, background): “In this subsection, we therefore only show how the renormalization works in a concrete example (see also [36] for a related discussion).”
- Moving the CFT into the bulk with TT¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ T\overline{T} $$\end{document} (2016, methodology): “In the formulation of [8] (see also [9, 10, 11, 12]) the CFT partition sum ZCFT is identified with the gravity partition function in which the bulk path integral is cut into an IR and UV part via”
- Two dimensional nearly de Sitter gravity (2019, unknown): “The overall sign of the metric is negative and this makes this spacetime a solution of the JT action with positive cosmological constant (see also [49, 50]).”
- Late-time structure of the Bunch-Davies de Sitter wavefunction (2014, background): “This observation led to the elegant proposal of a close connection between dS and Euclidean AdS perturbation theory in [12] (see also [13,14]).”
- DE SITTER MUSINGS (2012, methodology): “It is a challenging task to compute the Hartle-Hawking wavefunction in more general situations, progress in this direction includes [94, 82, 95, 96] where attempts have been made to connect the Hartle-Hawking wavefunction to the partition function of the CFT dual to an auxiliary anti-de Sitter space”