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hep-th2022

(K)not machine learning

Jessica Craven, Mark Hughes, Vishnu Jejjala +1

We review recent efforts to machine learn relations between knot invariants. Because these knot invariants have meaning in physics, we explore aspects of Chern-Simons theory and hi…

hep-th2021

Complexity Growth in Integrable and Chaotic Models

Vijay Balasubramanian, Matthew DeCross, Arjun Kar +2

We use the SYK family of models with Majorana fermions to study the complexity of time evolution, formulated as the shortest geodesic length on the unitary group manifold betwe…

hep-th2020

Disentangling a Deep Learned Volume Formula

Jessica Craven, Vishnu Jejjala, Arjun Kar

We present a simple phenomenological formula which approximates the hyperbolic volume of a knot using only a single evaluation of its Jones polynomial at a root of unity. The avera…

hep-th2020

Islands in de Sitter space

Vijay Balasubramanian, Arjun Kar, Tomonori Ugajin

We consider black holes in 2d de Sitter JT gravity coupled to a CFT, and entangled with matter in a disjoint non-gravitating universe. Tracing out the entangling matter leaves the…

hep-th2020

Entanglement between two disjoint universes

Vijay Balasubramanian, Arjun Kar, Tomonori Ugajin

We use the replica method to compute the entanglement entropy of a universe without gravity entangled in a thermofield-double-like state with a disjoint gravitating universe. Inclu…

hep-th2020

Spin structures and baby universes

Vijay Balasubramanian, Arjun Kar, Simon F. Ross +1

We extend a 2d topological model of the gravitational path integral to include sums over spin structure, corresponding to Neveu-Schwarz (NS) or Ramond (R) boundary conditions for f…