AdS2 holographic dictionary

By M. Cvetič, Ioannis Papadimitriou. Journal of High Energy Physics, 2016

207 citations recorded by the source corpus.

We construct the holographic dictionary for both running and constant dilaton solutions of the two dimensional Einstein-Maxwell-Dilaton theory that is obtained by a circle reduction from Einstein-Hilbert gravity with negative cosmological constant in three dimensions. This specific model ensures that the dual theory has a well defined ultraviolet completion in terms of a two dimensional conformal field theory, but our results apply qualitatively to a wider class of two dimensional dilaton gravity theories. For each type of solutions we perform holographic renormalization, compute the exact renormalized one-point functions in the presence of arbitrary sources, and derive the asymptotic symmetries and the corresponding conserved charges. In both cases we find that the scalar operator dual to the dilaton plays a crucial role in the description of the dynamics. Its source gives rise to a matter conformal anomaly for the running dilaton solutions, while its expectation value is the only non trivial observable for constant dilaton solutions. The role of this operator has been largely overlooked in the literature. We further show that the only non trivial conserved charges for running dilaton solutions are the mass and the electric charge, while for constant dilaton solutions only the electric charge is non zero. However, by uplifting the solutions to three dimensions we show that constant dilaton solutions can support non trivial extended symmetry algebras, including the one found by Compère, Song and Strominger [1], in agreement with the results of Castro and Song [2]. Finally, we demonstrate that any solution of this specific dilaton gravity model can be uplifted to a family of asymptotically AdS2 × S2 or conformally AdS2 × S2 solutions of the STU model in four dimensions, including non extremal black holes. The four dimensional solutions obtained by uplifting the running dilaton solutions coincide with the so called ‘subtracted geometries’, while those obtained from the uplift of the constant dilaton ones are new.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/98333651dbd7f414414bd0ee77963f5d01bee5fc

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In Astronomy and Astrophysics

1. D. Stanford
2. S. Sachdev
3. G. Turiaci
4. J. Maldacena
5. S. Shenker
6. Henry Maxfield
7. J. Polchinski
8. S. Hartnoll

In Nuclear and High Energy Physics

1. D. Stanford
2. Jordan S. Cotler
3. K. Jensen
4. S. Sachdev
5. J. Maldacena
6. G. Turiaci
7. Phil Saad
8. S. Shenker

In Statistical and Nonlinear Physics

1. D. Stanford
2. Jordan S. Cotler
3. Phil Saad
4. K. Jensen
5. G. Turiaci
6. S. Shenker
7. Henry Maxfield
8. S. Sachdev

Citations in the corpus

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• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral (2020, methodology): “ined by reducing on the circle. In an ensemble of xed spin J, the resulting theory is perturbatively equivalent to Jackiw-Teitelboim gravity [16,17], a theory which has received much recent attention [18,19,20,21,22,23,24,25,7]. The precise map between physics in JT gravity and in near-extremal rota”
• Black holes and random matrices (2016, background): “ions of SYK have been constructed in [23,24]. A supersymmetric generalization of the model has been constructed in [25]. A multi avor version has been constructed in [26]. Other related work includes [27,28,29,30]. 5Another discussion of random matrices in black hole physics is [34]. Recent discussi”
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