scholarly journals a – c test of holography versus quantum renormalization group

2014 ◽  
Vol 29 (29) ◽  
pp. 1450158 ◽  
Author(s):  
Yu Nakayama
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Conformal Field Theory ◽  
Beta Function ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
De Sitter ◽  
Conformal Field ◽  
Large N

We show that a "constructive derivation" of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence based on the quantum local renormalization group in large-N quantum field theories consistently provides the a – c holographic Weyl anomaly in d = 4 at the curvature squared order in the bulk action. The consistency of the construction further predicts the form of the metric beta function.

CONFORMAL FIELD THEORY AND PURELY ELASTIC S-MATRICES

1990 ◽  
Vol 05 (06) ◽  
pp. 1025-1048 ◽  
Author(s):  
V.A. FATEEV ◽  
A.B. ZAMOLODCHIKOV
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Conformal Field Theory ◽  
Mass Spectra ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Potts Models ◽  
Conformal Field ◽  
Toda Systems

Particular perturbations of a 2D Conformal Field Theory leading to Integrable massive Quantum Field Theories are examined. The mass spectra and S-matrices for some models, including the field theory of the Ising Model with magnetic field and “thermal” deformations of the tricritical Ising and 3-state Potts models, are proposed. The hidden Lie-algebraic structures of these spectra and their relation to the Toda systems are discussed.

scholarly journals ANTI-DE-SITTER SPACE, BRANES, SINGLETONS, SUPERCONFORMAL FIELD THEORIES AND ALL THAT

1999 ◽  
Vol 14 (06) ◽  
pp. 815-843 ◽  
Author(s):  
M. J. DUFF
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Historical Review ◽  
De Sitter Space ◽  
Field Theories ◽  
De Sitter ◽  
Superconformal Field Theories ◽  
Conformal Field ◽  
New Approaches ◽  
The Universe

There has recently been a revival of interest in anti-de-Sitter space (AdS), brought about by the conjectured duality between physics in the bulk of AdS and a conformal field theory on the boundary. Since the whole subject of branes, singletons and superconformal field theories on the AdS boundary was an active area of research about ten years ago, we begin with a historical review, including the idea of the "membrane at the end of the universe." We then compare the old and new approaches and discuss some new results on AdS 5 × S5 and AdS 3 × S3.

scholarly journals SUPERGRAVITY DESCRIPTION OF FIELD THEORIES ON CURVED MANIFOLDS AND A NO GO THEOREM

2001 ◽  
Vol 16 (05) ◽  
pp. 822-855 ◽  
Author(s):  
JUAN MALDACENA ◽  
CARLOS NUÑEZ
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Riemann Surface ◽  
Riemann Surfaces ◽  
Field Theories ◽  
De Sitter ◽  
Curved Manifolds ◽  
Conformal Field ◽  
Low Energies ◽  
M Theory

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann surfaces inside K3 or CY manifolds. In some cases the theory at low energies is a conformal field theory with two less dimensions. We find some non-singular supersymmetric compactifications of M-theory down to AdS5. We also propose a criterion for permissible singularities in supergravity solutions. In the second part of this paper, which can be read independently of the first, we show that there are no non-singular Randall-Sundrum or de-Sitter compactifications for large class of gravity theories.

scholarly journals M$_k$ models: the field theory connection

2017 ◽  
Vol 3 (1) ◽  
Author(s):  
Thessa Fokkema ◽  
Kareljan Schoutens
Keyword(s):  
Field Theory ◽  
Finite Size ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Minimal Models ◽  
Size Spectra ◽  
Conformal Field ◽  
Lattice Fermions ◽  
Clustering Property

The M_kk models for 1D lattice fermions are characterised by {\cal N}=2 supersymmetry and by an order-kk clustering property. This paper highlights connections with quantum field theories (QFTs) in various regimes. At criticality the QFTs are minimal models of {\cal N}=2 supersymmetric conformal field theory (CFT) - we analyse finite size spectra on open chains with a variety of supersymmetry preserving boundary conditions. Specific staggering perturbations lead to a gapped regime corresponding to massive {\cal N}=2 supersymmetric QFT with Chebyshev superpotentials. At ‘extreme staggering’ we uncover a simple physical picture with degenerate supersymmetric vacua and mobile kinks. We connect this kink-picture to the Chebyshev QFTs and use it to derive novel CFT character formulas. For clarity the focus in this paper is on the simplest models, M_11, M_22 and M_33.

scholarly journals Effects of non-conformal boundary on entanglement entropy

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Andrew Loveridge
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Conformal Field Theory ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Conformal Symmetry ◽  
Entanglement Entropy ◽  
Mixed Boundary Conditions ◽  
De Sitter ◽  
Conformal Field

Abstract Spacetime boundaries with canonical Neuman or Dirichlet conditions preserve conformal invarience, but “mixed” boundary conditions which interpolate linearly between them can break conformal symmetry and generate interesting Renormalization Group flows even when a theory is free, providing soluble models with nontrivial scale dependence. We compute the (Rindler) entanglement entropy for a free scalar field with mixed boundary conditions in half Minkowski space and in Anti-de Sitter space. In the latter case we also compute an additional geometric contribution, which according to a recent proposal then collectively give the 1/N corrections to the entanglement entropy of the conformal field theory dual. We obtain some perturbatively exact results in both cases which illustrate monotonic interpolation between ultraviolet and infrared fixed points. This is consistent with recent work on the irreversibility of renormalization group, allowing some assessment of the aforementioned proposal for holographic entanglement entropy and illustrating the generalization of the g-theorem for boundary conformal field theory.

QUANTIZING FIELD THEORIES IN NONCOMMUTATIVE GEOMETRY AND THE AdS/CFT CORRESPONDENCE

2000 ◽  
Vol 14 (22n23) ◽  
pp. 2355-2358 ◽  
Author(s):  
KAMRAN KAVIANI
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Noncommutative Geometry ◽  
Field Theories ◽  
Quantum Field ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory

By using the approach of noncommutative geometry, we study spinors and scalars on the two layers AdSd+1 space. We have found that in the boundary of two layers AdSd+1 Space, by using the AdS/CFT correspondence, we have a logarithmic conformal field theory. This observation propose a way to get the quantum field theory in the context of noncommutative geometry.

3D SINGLETONS AND THEIR BOUNDARY 2D CONFORMAL FIELD THEORY

1999 ◽  
Vol 11 (09) ◽  
pp. 1079-1090 ◽  
Author(s):  
SÉBASTIEN MICHÉA
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Recent Work ◽  
De Sitter Space ◽  
Field Theories ◽  
Conformal Field Theories ◽  
De Sitter ◽  
Witt Algebra ◽  
Conformal Field ◽  
De Sitter Universe

This paper is a continuation of recent work of Flato and Frønsdal on singletons in 1+2 anti De Sitter universe and their link with 2D conformal field theories on the boundary. More specifically we show that in this framework we can construct a 3D-singleton model in the bulk, the limit of which on the boundary of De Sitter space is a Gupta–Bleuler triplet for two commuting copies of the Witt algebra. We also generalize this result to the case of WZNW models.

scholarly journals Towards a Realist View of Quantum Field Theory

2020 ◽  
pp. 276-292
Author(s):  
James D. Fraser
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Renormalization Group ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Scientific Realist ◽  
Realist View

Quantum field theories (QFTs) pose their own distinctive challenges for the scientific realist. This chapter develops a strategy for articulating a realist view of QFT based on the renormalization group. It closes by considering some objections to this programme raised by Laura Ruetsche.

scholarly journals Looking at shadows of entanglement wedges

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Yuya Kusuki ◽  
Yuki Suzuki ◽  
Tadashi Takayanagi ◽  
Koji Umemoto
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
De Sitter ◽  
Conformal Field ◽  
Large N ◽  
Higher Dimensional ◽  
Round Ball ◽  
Wedge Structure ◽  
Free Scalar ◽  
Reduced Density

Abstract We present a new method of deriving shapes of entanglement wedges directly from conformal field theory (CFT) calculations. We point out that a reduced density matrix in holographic CFTs possesses a sharp wedge structure such that inside the wedge we can distinguish two local excitations, while outside we cannot. We can determine this wedge, which we call a CFT wedge, by computing a distinguishability measure. We find that CFT wedges defined by the fidelity or Bures distance as a distinguishability measure coincide perfectly with shadows of entanglement wedges in anti-de Sitter (AdS)/CFT. We confirm this agreement between CFT wedges and entanglement wedges for two-dimensional holographic CFTs where the subsystem is chosen to be an interval or double intervals, as well as higher-dimensional CFTs with a round ball subsystem. On the other hand, if we consider a free scalar CFT, we find that there are no sharp CFT wedges. This shows that sharp entanglement wedges emerge only for holographic CFTs owing to the large-$N$ factorization. We also generalize our analysis to a time-dependent example and to a holographic boundary conformal field theory (AdS/BCFT). Finally, we study other distinguishability measures to define CFT wedges. We observe that some of the measures lead to CFT wedges which slightly deviate from the entanglement wedges in AdS/CFT, and we give a heuristic explanation for this. This paper is an extended version of our earlier letter (arXiv:1908.09939 [hep-th]) and includes various new observations and examples.

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