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M. Eichler and D. Zagier, The Theory of Jacobi Forms
1985
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
T. Kawai, Y. Yamada and S. K. Yang, “Elliptic genera and N=2 superconformal field theory,” Nucl. Phys. B 414
1994
Earlier work this paper cites.
R. Dijkgraaf, G. W. Moore, E. P. Verlinde and H. L. Verlinde, “Elliptic genera of symmetric products and second quantized strings,” Commun. Math. Phys. 185
1997
Earlier work this paper cites.
J. M. Maldacena, A. Strominger and E. Witten, “Black hole entropy in M theory,” JHEP 9712
1997
Earlier work this paper cites.

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2015

Benjamin, Nathan, Kachru, Shamit, Keller, Christoph A. et al.

It is of interest to find criteria on a 2d CFT which indicate that it gives rise to emergent gravity in a macroscopic 3d AdS space via holography.

Symmetric orbifolds in the large $N$ limit have partition functions which are consistent with an emergent space-time string theory with $L_{\rm string} \sim L_{\rm AdS}$.
For supersymmetric CFTs, the elliptic genus can serve as a sensitive probe of whether the SCFT admits a large radius gravity description with $L_{\rm string} \ll L_{\rm AdS}$ after one deforms away from the symmetric orbifold point in moduli space.
We discuss several classes of constructions whose elliptic genera strongly hint that gravity with $L_{\rm Planck} \ll L_{\rm string} \ll L_{\rm AdS}$ can emerge at suitable points in moduli space.

M. Eichler and D. Zagier, The Theory of Jacobi Forms
1985
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
T. Kawai, Y. Yamada and S. K. Yang, “Elliptic genera and N=2 superconformal field theory,” Nucl. Phys. B 414
1994
Earlier work this paper cites.
R. Dijkgraaf, G. W. Moore, E. P. Verlinde and H. L. Verlinde, “Elliptic genera of symmetric products and second quantized strings,” Commun. Math. Phys. 185
1997
Earlier work this paper cites.
J. M. Maldacena, A. Strominger and E. Witten, “Black hole entropy in M theory,” JHEP 9712
1997
Earlier work this paper cites.

J. de Boer, “Six-dimensional supergravity on S**3 x AdS(3) and 2-D conformal field theory,” Nucl. Phys. B 548
1999
Cited alongside, same era.
J. de Boer, “Large N elliptic genus and AdS / CFT correspondence,” JHEP 9905
1999
Cited alongside, same era.
P. Kraus and F. Larsen, “Partition functions and elliptic genera from supergravity,” JHEP 0701
2007
Cited alongside, same era.
D. Gaiotto, A. Strominger and X. Yin, “The M5-Brane Elliptic Genus: Modularity and BPS States,” JHEP 0708
2007
Cited alongside, same era.
C.A. Keller, “Phase transitions in symmetric orbifold CFTs and universality,” JHEP 1103
Original
2011
Cited alongside, same era.
A. Belin, C. A. Keller and A. Maloney, “Permutation Orbifolds in the large N Limit,” arXiv:1509.01256 [hep-th]