From Maxwell-Chern-Simons theory in AdS 3 towards hydrodynamics in 1 + 1 dimensions

2014/03/31 by Han-Chih Chang, Mitsutoshi Fujita, Matthias Kaminski · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Chern–Simons theory #Conformal anomaly #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Gauge theory #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Scalar (mathematics) #String (physics) #String theory #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep10(2014)118

41 pages + appendix, 4 figures, 1 table

openalex publication_date 2014/10/01 · arxiv created 2015/06/19 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study Abelian Maxwell-Chern-Simons theory in three-dimensional AdS black hole backgrounds for both integer and non-integer Chern-Simons coupling. Such theories can be derived from various string theory constructions, which we review in the present work. In particular we find exact solutions in the low frequency, low momentum limit, ω, k ≪ T (hydrodynamic limit). Using the holographic principle, we translate our results into correlation functions of vector and scalar operators in the dual strongly coupled 1 + 1-dimensional quantum field theory with a chiral anomaly at non-zero temperature T . Starting from the conformal case we show applicability of the hydrodynamic limit and discuss extensions to the non-conformal case. Correlation functions in the conformal case are compared to an exact field theoretic computation.

Citations

• Black hole in three-dimensional spacetime
• Gauge/gravity duality with a chiral 𝒩 = (0, 8) string defect
• Finite baryon and isospin chemical potential in AdS/CFT with flavor
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
• Conformal invariance and universality in finite-size scaling
• An Exactly Soluble Model of a Many-Fermion System
• Chern-Simons theories in the AdS/CFT correspondence
• Gravity dual of a quantum Hall plateau transition
• Viscosity, Black Holes, and Quantum Field Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Lecture Notes on Holographic Renormalization
• The Large-N Limit of Superconformal Field Theories and Supergravity
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• A brief introduction to Luttinger liquids
• Topologically massive gauge theories

Cited by

• Weak cosmic censorship with pressure and volume in charged anti-de Sitter black hole under charged scalar field
• Spin Interaction under the Collision of Two Kerr-(Anti-)de Sitter Black Holes