6 research outputs found
Towards the Holographic Dual of N = 2 SYK
The gravitational part of the holographic dual to the SYK model has been
conjectured to be Jackiw-Teitelboim (JT) gravity. In this paper we construct an
AdS2 background in N = (2,2) JT gravity and show that the gravitational
dynamics are - as in the N = 0 and N = 1 cases - fully captured by the
extrinsic curvature as an effective boundary action. This boundary term is
given by the super-Schwarzian of the N = 2 SYK model, thereby providing further
evidence of the JT/SYK duality. The chirality of this SYK model is reproduced
by the inherent chirality of axial N = (2,2) supergravity.Comment: 22 pages,v2 references added, typos correcte
The Lion, the Witch, and the Wormhole: Ensemble averaging the symmetric product orbifold
We consider the ensemble average of two dimensional symmetric product
orbifold CFTs over the Narain moduli space. We
argue for a bulk dual given by copies of an abelian Chern-Simons theory
coupled to topological gravity, endowed with a discrete gauge symmetry
exchanging the copies. As a check of this proposal, we calculate the
ensemble average of various partition and correlation functions of the
symmetric product orbifold theory and compare the resulting expressions to
gauge theory quantities in the bulk. We comment on the ensemble average of the
tensionless string partition function on by considering the specific case of with the addition of
supersymmetry.Comment: 84 pages, 25 figure
Complexity via Replica Trick
We consider the complexity of a single-sided AdS black hole as modelled by an
end-of-the-world brane. In addition, we present multi-boundary partition
functions and matter correlation functions for such a setting. We compute the
complexity using a modified replica trick corresponding to the "quenched
geodesic length" in JT gravity. The late-time behaviour of complexity shows a
saturation to a constant value of order following a period of linear
growth. Furthermore, we show that our approach leads to an improved result for
the variance of complexity, namely it being time-independent at late times. We
conclude by commenting on the introduction of dynamical end-of-the-world
branes.Comment: 29 pages, 6 figure