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We review and systematize two (analytic) bootstrap techniques in two-dimensional conformal field theories using the S-modular transformation.
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A Universal Inequality for CFT and Quantum Gravity ,
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Bounds for State Degeneracies in 2D Conformal Field Theory ,
S. Hellerman and C. Schmidt-Colinet, · 2011
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The Conformal Bootstrap ,
D. Simmons-Duffin, · 2017
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Black holes from CFT: Universality of correlators at large c ,
P. Kraus, A. Sivaramakrishnan and R. Snively, · 2017
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Charged structure constants from modularity ,
D. Das, S. Datta and S. Pal, · 2017
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Solving the schwarzian via the conformal bootstrap ,
T. G. Mertens, G. J. Turiaci and H. L. Verlinde, · 2017
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A cardy formula for three-point coefficients or how the black hole got its spots ,
P. Kraus and A. Maloney, · 2017
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Bounds on cfts with w3 algebras and ads3 higher spin theories ,
L. Apolo, · 2017
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Beyond Logarithmic Corrections to Cardy Formula ,
F. Loran, M. M. Sheikh-Jabbari and M. Vincon, · 2011
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Higher Spin Black Holes from CFT ,
M. R. Gaberdiel, T. Hartman and K. Jin, · 2012
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Analyticity and the holographic s-matrix ,
A. L. Fitzpatrick and J. Kaplan, · 2012
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Operator product expansion convergence in conformal field theory ,
D. Pappadopulo, S. Rychkov, J. Espin and R. Rattazzi, · 2012
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Constraints on 2d CFT partition functions ,
D. Friedan and C. A. Keller, · 2013
Cited alongside, same era.
Modular Constraints on Calabi-Yau Compactifications ,
C. A. Keller and H. Ooguri, · 2013
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Probing thermality beyond the diagonal ,
E. M. Brehm, D. Das and S. Datta, · 2018
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Eigenstate thermalization hypothesis ,
J. M. Deutsch, · 2018
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A Cardy formula for off-diagonal three-point coefficients; or, how the geometry behind the horizon gets disentangled ,
A. Romero-Bermúdez, P. Sabella-Garnier and K. Schalm, · 2018
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Eigenstate thermalization hypothesis and modular invariance of two-dimensional conformal field theories ,
Y. Hikida, Y. Kusuki and T. Takayanagi, · 2018
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New Properties of Large- c c Conformal Blocks from Recursion Relation ,
Y. Kusuki, · 2018
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Large c c Virasoro Blocks from Monodromy Method beyond Known Limits ,
Y. Kusuki, · 2018
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Universal asymptotics of three-point coefficients from elliptic representation of Virasoro blocks ,
D. Das, S. Datta and S. Pal, · 2018
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Modular Bootstrap Revisited ,
S. Collier, Y.-H. Lin and X. Yin, · 2018
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Parity and the modular bootstrap ,
T. Anous, R. Mahajan and E. Shaghoulian, · 2018
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Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks ,
P. Ruggiero, E. Tonni and P. Calabrese, · 2018
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Constraints on flavored 2d cft partition functions ,
E. Dyer, A. L. Fitzpatrick and Y. Xin, · 2018
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Quantum Regge Trajectories and the Virasoro Analytic Bootstrap ,
S. Collier, Y. Gobeil, H. Maxfield and E. Perlmutter, · 2019
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Light-cone modular bootstrap and pure gravity ,
N. Benjamin, H. Ooguri, S.-H. Shao and Y. Wang, · 2019
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Genus Two Modular Bootstrap ,
M. Cho, S. Collier and X. Yin, · 2019
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Eigenstate thermalization hypothesis and out of time order correlators ,
L. Foini and J. Kurchan, · 2019
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