Room 326

Krylov Complexity in Double Scaled SYK model (DSSYK)

Debodirna Ghosh

IMSc

The talk is based on the paper by Rabinovici et.al arXiv:2305.04355. In this talk we discuss about the chord diagrams of DSSYK model which is dual in a certain limit to JT gravity. Next, we show that the Hilbert space defined from chords of DSSYK can be understood equivalently as the bulk Hilbert space of JT gravity. Then, we discuss Krylov complexity for DSSYK model and try to argue a connection between the Krylov basis elements and the length eigenstates of the bulk JT theory.