Non-relativistic Hybrid Geometry with Gravitational Gauge-Fixing Term

Abstract

We search a gravitational system which allows a non-relativistic hybrid geometry interpolating the Schrödinger and Lifshitz spacetimes as a solution, as a continuation of the previous work employing a flow equation. As such a candidate an Einstein-Maxwell-Higgs system naturally arises and we verify that this system indeed supports the hybrid geometry with the help of a gauge-fixing term for diffeomorphism. As a result, this gravitational system may be interpreted as a holographic dual of a general non-relativistic system at the boundary.

13 pages, no figure, v2: minor errors corrected, comments and a reference added

References in corpus (7)

• Symmetries and Strings in Field Theory and Gravity
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Infinite N phase transitions in continuum Wilson loop operators
• The geometry of Schrödinger symmetry in non-relativistic CFT
• The particle number in Galilean holography
• Holographic geometry for non-relativistic systems emerging from generalized flow equations

Cited by in corpus (1)

• AdS/CFT correspondence for the $O(N)$ invariant critical ${\phi }^4$ model in 3-dimensions by the conformal smearing