TY - JOUR
T1 - Multi-trace correlators in the SYK model and non-geometric wormholes
AU - Berkooz, Micha
AU - Brukner, Nadav
AU - Narovlansky, Vladimir
AU - Raz, Amir
N1 - Publisher Copyright: © 2021, The Author(s).
PY - 2021/9
Y1 - 2021/9
N2 - We consider multi-energy level distributions in the SYK model, and in particular, the role of global fluctuations in the density of states of the SYK model. The connected contributions to the moments of the density of states go to zero as N → ∞, however, they are much larger than the standard RMT correlations. We provide a diagrammatic description of the leading behavior of these connected moments, showing that the dominant diagrams are given by 1PI cactus graphs, and derive a vector model of the couplings which reproduces these results. We generalize these results to the first subleading corrections, and to fluctuations of correlation functions. In either case, the new set of correlations between traces (i.e. between boundaries) are not associated with, and are much larger than, the ones given by topological wormholes. The connected contributions that we discuss are the beginning of an infinite series of terms, associated with more and more information about the ensemble of couplings, which hints towards the dual of a single realization. In particular, we suggest that incorporating them in the gravity description requires the introduction of new, lighter and lighter, fields in the bulk with fluctuating boundary couplings.
AB - We consider multi-energy level distributions in the SYK model, and in particular, the role of global fluctuations in the density of states of the SYK model. The connected contributions to the moments of the density of states go to zero as N → ∞, however, they are much larger than the standard RMT correlations. We provide a diagrammatic description of the leading behavior of these connected moments, showing that the dominant diagrams are given by 1PI cactus graphs, and derive a vector model of the couplings which reproduces these results. We generalize these results to the first subleading corrections, and to fluctuations of correlation functions. In either case, the new set of correlations between traces (i.e. between boundaries) are not associated with, and are much larger than, the ones given by topological wormholes. The connected contributions that we discuss are the beginning of an infinite series of terms, associated with more and more information about the ensemble of couplings, which hints towards the dual of a single realization. In particular, we suggest that incorporating them in the gravity description requires the introduction of new, lighter and lighter, fields in the bulk with fluctuating boundary couplings.
UR - http://www.scopus.com/inward/record.url?scp=85116350677&partnerID=8YFLogxK
U2 - https://doi.org/10.1007/JHEP09(2021)196
DO - https://doi.org/10.1007/JHEP09(2021)196
M3 - مقالة
SN - 1029-8479
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 196
ER -