Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography

Abstract

We construct a new type of holographic correspondence between non-relativistic string theory in String Newton-Cartan AdS${}_5\times$S${}^5$ and Galilean Yang-Mills supplemented with 5 adjoint interacting scalar fields living on the 3+1 dimensional Penrose conformal boundary. In our derivation, we start with Maldacena's setting of a stack of $N$ coincident D3-branes and we show that the near-horizon/decoupling limit commutes with the non-relativistic limit, giving a unique answer both from the gravity and gauge theory perspectives. As a first evidence, we systematically compute the Killing vectors on the string theory side, and find that they match the symmetries of the dual gauge theory.

v2: 32 pages, 1 figure. Symmetries match off-shell. Added section 2.1.1 and references. Version accepted for publication in PRD. v3: typos corrected. v4: added note correcting the holographic statement