Holographic (De)confinement Transitions in Cosmological Backgrounds

Abstract

For type IIB supergravity with a running axio-dilaton, we construct bulk solutions which admit a cosmological background metric of Friedmann-Robertson-Walker type. These solutions include both a dark radiation term in the bulk as well as a four-dimensional (boundary) cosmological constant, while gravity at the boundary remains non-dynamical. We holographically calculate the stress-energy tensor, showing that it consists of two contributions: The first one, generated by the dark radiation term, leads to the thermal fluid of N = 4 SYM theory, while the second, the conformal anomaly, originates from the boundary cosmological constant. Conservation of the boundary stress tensor implies that the boundary cosmological constant is time-independent, such that there is no exchange between the two stress-tensor contributions. We then study (de)confinement by evaluating the Wilson loop in these backgrounds. While the dark radiation term favours deconfinement, a negative cosmological constant drives the system into a confined phase. When both contributions are present, we find an oscillating universe with negative cosmological constant which undergoes periodic (de)confinement transitions as the scale of three space expands and re-contracts.

31 pages, 5 figures, v2: Reference added

References in corpus (12)

• Setting the boundary free in AdS/CFT
• A Holographic Dual of Hydrodynamics
• Holographic models of de Sitter QFTs
• Conformal field theories in anti-de Sitter space
• Insightful D-branes
• A Holographic Dual of CFT with Flavor on de Sitter Space
• Real time response on dS_3: the Topological AdS Black Hole and the Bubble
• On Bubbles of Nothing in AdS/CFT
• Gauge theory in de Sitter space-time from a holographic model
• Flavor quarks in AdS4 and gauge/gravity correspondence
• Holographic de Sitter Universe
• Holographic Description of Heavy-Quark Potentials in an Inflationary Braneworld Scenario