nLab Lorenz Eberhardt

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Selected writings

On proof of AdS/CFT duality for the special case of $AdS_3/CFT_2$:

• Shouvik Datta, Lorenz Eberhardt, Matthias Gaberdiel, Stringy $\mathcal{N} = (2,2)$ holography for $AdS_3$ JHEP 1801 (2018) 146 (arXiv:1709.06393)

• Lorenz Eberhardt, Matthias Gaberdiel, String theory on $AdS_3$ and the symmetric orbifold of Liouville theory (arXiv:1903.00421)

• Lorenz Eberhardt, Matthias Gaberdiel, Strings on $AdS_3 \times S^3 \times S^3 \times S^1$ (arXiv:1904.01585)

• Lorenz Eberhardt, Matthias Gaberdiel, Rajesh Gopakumar, Deriving the $AdS_3/CFT_2$ Correspondence (arXiv:1911.00378)

• Andrea Dei, Lorenz Eberhardt, Correlators of the symmetric product orbifold (arXiv:1911.08485)

• Lorenz Eberhardt, $AdS_3/CFT_2$ at higher genus (arXiv:2002.11729)

• Lorenz Eberhardt, ,_Summing over Geometries in String Theory_ (arXiv:2102.12355)

• Lorenz Eberhardt, A perturbative CFT dual for pure NS-NS $AdS_3$ strings, J. Phys. A: Math. Theor. 55 064001 [arXiv:2110.07535, arXiv:10.1088/1751-8121/ac47b2]

• Lorenz Eberhardt, Matthias R. Gaberdiel: A localising $AdS_3$ sigma model [arXiv:2505.09226]

On the Wess-Zumino-Witten model:

• Lorenz Eberhardt, Wess-Zumino-Witten models, lecture notes at YRISW 2019: A modern primer for 2D CFT, Vienna (2019) [pdf, pdf]

On 3-dimensional (quantum) gravity (general relativity) with cosmological constant, and its (non-)relation to Chern-Simons theory with non-compact gauge groups:

• Scott Collier, Lorenz Eberhardt, Mengyang Zhang: Solving 3d Gravity with Virasoro TQFT, SciPost Phys. 15 151 (2023) [dou:10.21468/SciPostPhys.15.4.151, arXiv:2304.13650]

On D=2 quantum gravity via Liouville theory:

• Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann: The complex Liouville string: the gravitational path integral [arXiv:2501.10265]

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