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104. Inflation in AdS/CFT

Author

Freivogel, Ben, primary, Hubeny, Veronika E., additional, Maloney, Alexander, additional, Myers, Rob, additional, Rangamani, Mukund, additional, and Shenker, Stephen, additional

Published
2005
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113. Permutation Orbifolds in the Large $$\varvec{N}$$ Limit.

Author

Belin, Alexandre, Keller, Christoph, and Maloney, Alexander

Subjects
PERMUTATIONS, GRAVITY, ORBIFOLDS, HOLOGRAPHY, STATISTICAL correlation
Abstract

The space of permutation orbifolds is a simple landscape of two-dimensional CFTs, generalizing the well-known symmetric orbifolds. We consider constraints which a permutation orbifold with large central charge must obey in order to be holographically dual to a weakly coupled (but possibly stringy) theory of gravity in AdS. We then construct explicit examples of permutation orbifolds which obey these constraints. In our constructions, the spectrum remains finite at large N, but differs qualitatively from that of symmetric orbifolds. We also discuss under what conditions the correlation functions factorize at large N and thus reduce to those of a generalized free field in AdS. We show that this happens not just for symmetric orbifolds, but also for permutation groups which act 'democratically' in a sense which we define. [ABSTRACT FROM AUTHOR]

Published
2017
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117. Holographic charged Rényi entropies

Author

Belin, Alexandre, primary, Hung, Ling-Yan, additional, Maloney, Alexander, additional, Matsuura, Shunji, additional, Myers, Robert C., additional, and Sierens, Todd, additional

Published
2013
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118. Topology of future infinity in dS/CFT

Author

Banerjee, Shamik, primary, Belin, Alexandre, additional, Hellerman, Simeon, additional, Lepage-Jutier, Arnaud, additional, Maloney, Alexander, additional, Radičević, Ðorđe, additional, and Shenker, Stephen, additional

Published
2013
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121. Smoothed transitions in higher spin AdS gravity

Author

Banerjee, Shamik, primary, Castro, Alejandra, additional, Hellerman, Simeon, additional, Hijano, Eliot, additional, Lepage-Jutier, Arnaud, additional, Maloney, Alexander, additional, and Shenker, Stephen, additional

Published
2013
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124. Gravity dual of the Ising model

Author

Castro, Alejandra, primary, Gaberdiel, Matthias R., additional, Hartman, Thomas, additional, Maloney, Alexander, additional, and Volpato, Roberto, additional

Published
2012
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137. Inflation in AdS/CFT

Author

Freivogel, Ben, primary, Hubeny, Veronika E, additional, Maloney, Alexander, additional, Myers, Robert C, additional, Rangamani, Mukund, additional, and Shenker, Stephen, additional

Published
2006
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147. Melinda French Gates Gets Billions in Shares From Cascade.

Author

Maloney, Alexander and Maloney, Tom

Subjects
DIVIDENDS, STOCKS (Finance), REAL property, MUTUAL funds, STOCK transfer
Abstract

Cascade transferred a stake worth about $120 million in Coca-Cola Femsaand a holding valued at about $386 million in Grupo Televisa to FrenchGates, according to Bloomberg calculations based on the filings. (Bloomberg) -- Cascade Investment, the holding company created by BillGates, transferred stock in two of Mexico's largest companies to MelindaFrench Gates, bringing the total amount she's received in the past fewdays to more than $2 billion. [Extracted from the article]

Published
2021

148. Universal dynamics of heavy operators in CFT2.

Author

Collier, Scott, Maloney, Alexander, Maxfield, Henry, and Tsiares, Ioannis

Subjects
*OPERATOR product expansions, *CONFORMAL field theory, *THERMAL expansion, *BLACK holes, *ASYMPTOTIC expansions, *TORUS
Abstract

We obtain an asymptotic formula for the average value of the operator product expansion coefficients of any unitary, compact two dimensional CFT with c > 1. This formula is valid when one or more of the operators has large dimension or — in the presence of a twist gap — has large spin. Our formula is universal in the sense that it depends only on the central charge and not on any other details of the theory. This result unifies all previous asymptotic formulas for CFT2 structure constants, including those derived from crossing symmetry of four point functions, modular covariance of torus correlation functions, and higher genus modular invariance. We determine this formula at finite central charge by deriving crossing kernels for higher genus crossing equations, which give analytic control over the structure constants even in the absence of exact knowledge of the conformal blocks. The higher genus modular kernels are obtained by sewing together the elementary kernels for four-point crossing and modular transforms of torus one-point functions. Our asymptotic formula is related to the DOZZ formula for the structure constants of Liouville theory, and makes precise the sense in which Liouville theory governs the universal dynamics of heavy operators in any CFT. The large central charge limit provides a link with 3D gravity, where the averaging over heavy states corresponds to a coarse-graining over black hole microstates in holographic theories. Our formula also provides an improved understanding of the Eigenstate Thermalization Hypothesis (ETH) in CFT2, and suggests that ETH can be generalized to other kinematic regimes in two dimensional CFTs. [ABSTRACT FROM AUTHOR]

Published
2020
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149. Universal dynamics of heavy operators in CFT2.

Author

Collier, Scott, Maloney, Alexander, Maxfield, Henry, and Tsiares, Ioannis

Subjects
OPERATOR product expansions, CONFORMAL field theory, THERMAL expansion, BLACK holes, ASYMPTOTIC expansions, TORUS
Abstract

We obtain an asymptotic formula for the average value of the operator product expansion coefficients of any unitary, compact two dimensional CFT with c > 1. This formula is valid when one or more of the operators has large dimension or — in the presence of a twist gap — has large spin. Our formula is universal in the sense that it depends only on the central charge and not on any other details of the theory. This result unifies all previous asymptotic formulas for CFT2 structure constants, including those derived from crossing symmetry of four point functions, modular covariance of torus correlation functions, and higher genus modular invariance. We determine this formula at finite central charge by deriving crossing kernels for higher genus crossing equations, which give analytic control over the structure constants even in the absence of exact knowledge of the conformal blocks. The higher genus modular kernels are obtained by sewing together the elementary kernels for four-point crossing and modular transforms of torus one-point functions. Our asymptotic formula is related to the DOZZ formula for the structure constants of Liouville theory, and makes precise the sense in which Liouville theory governs the universal dynamics of heavy operators in any CFT. The large central charge limit provides a link with 3D gravity, where the averaging over heavy states corresponds to a coarse-graining over black hole microstates in holographic theories. Our formula also provides an improved understanding of the Eigenstate Thermalization Hypothesis (ETH) in CFT2, and suggests that ETH can be generalized to other kinematic regimes in two dimensional CFTs. [ABSTRACT FROM AUTHOR]

Published
2020
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