Holographic Cosmology and Phase Transitions of SYM theory

Abstract

We study the time development of strongly coupled $\mathcal{N}=4$ supersymmetric Yang Mills (SYM) theory on cosmological Friedmann-Robertson-Walker (FRW) backgrounds via the AdS/CFT correspondence. We implement the cosmological background as a boundary metric fulfilling the Friedmann equation with a four-dimensional cosmological constant and a dark radiation term. We analyze the dual bulk solution of the type IIB supergravity and find that the time-dependence of the FRW background strongly influences the dynamical properties of the SYM theory. We in particular find a phase transition between a confined and a deconfined phase. We also argue that some cosmological solutions could be related to the inflationary scenario.

arXiv comment24 pages, 9 figures

References in corpus (29)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Eternal Black Holes in AdS
• The Einstein Equations on the 3-Brane World
• Brane cosmological evolution in a bulk with cosmological constant
• Holographic Renormalization
• Instantons and seven-branes in type IIB superstring theory
• Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World
• Effective Gravitational Equations on Brane World with Induced Gravity
• Brane cosmological perturbations
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Cosmology from an AdS Schwarzschild black hole via holography
• D3-brane - D-instanton configuration and N=4 super YM theory in constant self-dual background
• Bulk gravitons from a cosmological brane
• On Asymptotic Freedom and Confinement from Type-IIB Supergravity
• A Holographic Dual of CFT with Flavor on de Sitter Space
• Origin of inflation in CFT driven cosmology: $R^2$-gravity and non-minimally coupled inflaton models
• Josephson Junctions and AdS/CFT Networks
• Gauge theory in de Sitter space-time from a holographic model
• A Holographic Realization of Ferromagnets
• Holographic (De)confinement Transitions in Cosmological Backgrounds
• Flavor quarks in AdS4 and gauge/gravity correspondence
• Holographic Friedmann Equation and $\mathcal{N}=$4 SYM theory
• Weyl Anomaly and Initial Singularity Crossing
• Holographic Cosmological Backgrounds, Wilson Loop (De)confinement and Dilaton Singularities
• Ad$S_5$ with two boundaries and holography of $\mathcal{N}=$4 SYM theory
• Entanglement temperature for the excitation of SYM theory in (De)confinement phase
• Chiral Symmetry of SYM theory in hyperbolic space at finite temperature

Cited by in corpus (1)

• Tunneling in Quantum Cosmology and Holographic SYM theory