4 papers
Holographic Probes of Inner Horizons
Vijay Balasubramanian, Arjun Kar, Gábor Sárosi
We study the inner horizons of rotating and charged black holes in anti-de Sitter space. These black holes have a classical analytic extension through the inner horizon to addition…
Quantum Complexity of Time Evolution with Chaotic Hamiltonians
Vijay Balasubramanian, Matthew DeCross, Arjun Kar +1
We study the quantum complexity of time evolution in large- chaotic systems, with the SYK model as our main example. This complexity is expected to increase linearly for exponen…
Deep Learning the Hyperbolic Volume of a Knot
Vishnu Jejjala, Arjun Kar, Onkar Parrikar
An important conjecture in knot theory relates the large-, double scaling limit of the colored Jones polynomial of a knot to the hyperbolic volume of the knot c…
Binding Complexity and Multiparty Entanglement
Vijay Balasubramanian, Matthew DeCross, Arjun Kar +1
We introduce "binding complexity", a new notion of circuit complexity which quantifies the difficulty of distributing entanglement among multiple parties, each consisting of many l…