scholarly journals The Regge limit for Green functions in conformal field theory

2010 ◽  
Vol 2010 (6) ◽  
Author(s):  
T. Banks ◽  
G. Festuccia
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Green Functions ◽  
Conformal Field ◽  
Regge Limit

scholarly journals Bounds on Regge growth of flat space scattering from bounds on chaos

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Deeksha Chandorkar ◽  
Subham Dutta Chowdhury ◽  
Suman Kundu ◽  
Shiraz Minwalla
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Flat Space ◽  
Gauge Fields ◽  
Point Singularity ◽  
Boundary Field ◽  
Conformal Field ◽  
S Matrix ◽  
Regge Limit ◽  
Conserved Currents

Abstract We study four-point functions of scalars, conserved currents, and stress tensors in a conformal field theory, generated by a local contact term in the bulk dual description, in two different causal configurations. The first of these is the standard Regge configuration in which the chaos bound applies. The second is the ‘causally scattering configuration’ in which the correlator develops a bulk point singularity. We find an expression for the coefficient of the bulk point singularity in terms of the bulk S matrix of the bulk dual metric, gauge fields and scalars, and use it to determine the Regge scaling of the correlator on the causally scattering sheet in terms of the Regge growth of this S matrix. We then demonstrate that the Regge scaling on this sheet is governed by the same power as in the standard Regge configuration, and so is constrained by the chaos bound, which turns out to be violated unless the bulk flat space S matrix grows no faster than s2 in the Regge limit. It follows that in the context of the AdS/CFT correspondence, the chaos bound applied to the boundary field theory implies that the S matrices of the dual bulk scalars, gauge fields, and gravitons obey the Classical Regge Growth (CRG) conjecture.

Tunneling characteristics of a contact between a superlattice and non-Fermi liquid using the AdS/CFT correspondence

2014 ◽  
Vol 28 (21) ◽  
pp. 1450170 ◽  
Author(s):  
Mikhail B. Belonenko ◽  
Natalia N. Konobeeva ◽  
Dmitry V. Smovzh ◽  
Alexander V. Zhukov ◽  
Roland Bouffanais
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Density Of States ◽  
Fermi Liquid ◽  
Green Functions ◽  
Liquid Density ◽  
De Sitter ◽  
Quantum Liquid ◽  
Conformal Field ◽  
Tunneling Contact

In this paper, we investigate the peculiar features of the tunneling contact between a superlattice and a non-Fermi quantum liquid. The imaginary part of the Green functions are responsible for the non-Fermi liquid density of states. The Green functions have been derived within the framework of the anti-de Sitter/conformal field theory correspondence.

scholarly journals A Pseudo-Conformal Representation of the Virasoro Algebra

1997 ◽  
Vol 12 (18) ◽  
pp. 1349-1353 ◽  
Author(s):  
A. Aghamohammadi ◽  
M. Alimohammadi ◽  
M. Khorrami
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Virasoro Algebra ◽  
Field Theories ◽  
Green Functions ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory ◽  
Conformal Representation ◽  
Special Cases

Generalizing the concept of primary fields, we find a new representation of the Virasoro algebra, which we call pseudo-conformal representation. In special cases, this representation reduces to ordinary- or logarithmic-conformal field theory. There are, however, other cases in which the Green functions differ from those of ordinary- or logarithmic-conformal field theories. This representation is parametrized by two matrices. We classify these two matrices, and calculate some of the correlators for a simple example.

scholarly journals N=1 SUPERCONFORMAL SYMMETRY IN FOUR DIMENSIONS

1998 ◽  
Vol 13 (11) ◽  
pp. 1743-1772 ◽  
Author(s):  
JEONG-HYUCK PARK
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Green Functions ◽  
Two Dimensional ◽  
Superconformal Symmetry ◽  
Four Dimensions ◽  
Conformal Field ◽  
Explicit Formulae

The N=1, d=4 superconformal group is studied and its representations are discussed. Under superconformal transformations, left invariant derivatives and some class of superfields, including supercurrents, are shown to follow these representations. In other words, these superfields are quasiprimary by analogy with two-dimensional conformal field theory. Based on these results, we find the genenal forms for the two-point and the three-point Green functions of the quasiprimary superfields in a group theoretical way. In particular, we prove that the two-point and the three-point Green functions of supercurrents are unique and present the explicit formulae of them.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

scholarly journals THE FREE FIELD REPRESENTATION OF SU(3) CONFORMAL FIELD THEORY

1993 ◽  
Vol 08 (23) ◽  
pp. 4031-4053
Author(s):  
HOVIK D. TOOMASSIAN
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Correlation Functions ◽  
Free Field ◽  
Field Representation ◽  
Conformal Field ◽  
Point Correlation

The structure of the free field representation and some four-point correlation functions of the SU(3) conformal field theory are considered.

scholarly journals Decoherence in Conformal Field Theory

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Adolfo del Campo ◽  
Tadashi Takayanagi
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Field

scholarly journals Parafermionization, bosonization, and critical parafermionic theories

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Yuan Yao ◽  
Akira Furusaki
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Degrees Of Freedom ◽  
Lattice Models ◽  
Partition Functions ◽  
Minimal Models ◽  
Fermionic Model ◽  
Conformal Field ◽  
Critical Theories ◽  
Wigner Transformation

AbstractWe formulate a ℤk-parafermionization/bosonization scheme for one-dimensional lattice models and field theories on a torus, starting from a generalized Jordan-Wigner transformation on a lattice, which extends the Majorana-Ising duality atk= 2. The ℤk-parafermionization enables us to investigate the critical theories of parafermionic chains whose fundamental degrees of freedom are parafermionic, and we find that their criticality cannot be described by any existing conformal field theory. The modular transformations of these parafermionic low-energy critical theories as general consistency conditions are found to be unconventional in that their partition functions on a torus transform differently from any conformal field theory whenk >2. Explicit forms of partition functions are obtained by the developed parafermionization for a large class of critical ℤk-parafermionic chains, whose operator contents are intrinsically distinct from any bosonic or fermionic model in terms of conformal spins and statistics. We also use the parafermionization to exhaust all the ℤk-parafermionic minimal models, complementing earlier works on fermionic cases.

Sign in / Sign up

Export Citation Format

Share Document