Holographic Dual of a Boundary Conformal Field Theory

Journal Article · Fri Sep 02 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.107.101602· OSTI ID:21611563

Takayanagi, Tadashi ^[1]

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1. Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo, Kashiwa, Chiba 277-8582 (Japan)

We propose a holographic dual of a conformal field theory defined on a manifold with boundaries, i.e., boundary conformal field theory (BCFT). Our new holography, which may be called anti-de Sitter BCFT, successfully calculates the boundary entropy or g function in two-dimensional BCFTs and it agrees with the finite part of the holographic entanglement entropy. Moreover, we can naturally derive a holographic g theorem. We also analyze the holographic dual of an interval at finite temperature and show that there is a first order phase transition.

• OSTI ID: 21611563
• Journal Information: Physical Review Letters, Vol. 107, Issue 10; Other Information: DOI: 10.1103/PhysRevLett.107.101602; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTI DE SITTER GROUP
ANTI DE SITTER SPACE
CONFORMAL INVARIANCE
ENTROPY
HOLOGRAPHY
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
QUANTUM FIELD THEORY
TWO-DIMENSIONAL CALCULATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SPACE
PHYSICAL PROPERTIES
SPACE
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES