Replicas for Random Matrices

Abstract

We discuss the use of the replica ansatz in computing free energies in random matrix theory, and confirm a conjectured condition on analytic continuation in the replica index at large-N.

arXiv commentv2: 11 pages, discussion improved, references and acknowledgements added

References in corpus (17)

• Evanescent Black Holes
• Replica Wormholes and the Entropy of Hawking Radiation
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
• Scrambling the spectral form factor: unitarity constraints and exact results
• Free Energy from Replica Wormholes
• Flat space holography and complex SYK
• New boundary conditions for AdS${}_2$
• On Free Energy for Deformed JT Gravity
• Connected correlator of 1/2 BPS Wilson loops in $\mathcal{N}=4$ SYM
• Spectral form factor and semi-circle law in the time direction
• From black holes to baby universes in CGHS gravity
• Replica symmetry breaking in random matrix model: a toy model of wormhole networks
• Low-temperature entropy in JT gravity
• On the Quenched Free Energy of JT Gravity and Supergravity
• Quenched free energy in random matrix model