scholarly journals A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6

2001 ◽  
Vol 216 (1) ◽  
pp. 85-138 ◽  
Author(s):  
Werner Nahm ◽  
Katrin Wendland
Keyword(s):  
Field Theory ◽  
Central Charge ◽  
Superconformal Field Theory

scholarly journals Continuum limit in numerical simulations of the $\mathcal{N}=2$ Landau–Ginzburg model

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Okuto Morikawa
Keyword(s):  
Field Theory ◽  
Continuum Limit ◽  
Central Charge ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Superconformal Field Theory ◽  
Lattice Field ◽  
Scaling Dimension ◽  
The Continuum

Abstract The $\mathcal{N}=2$ Landau–Ginzburg description provides a strongly interacting Lagrangian realization of an $\mathcal{N}=2$ superconformal field theory. It is conjectured that one such example is given by the two-dimensional $\mathcal{N}=2$ Wess–Zumino model. Recently, the conjectured correspondence has been studied by using numerical techniques based on lattice field theory; the scaling dimension and the central charge have been directly measured. We study a single superfield with a cubic superpotential, and give an extrapolation method to the continuum limit. Then, on the basis of a supersymmetric-invariant numerical algorithm, we perform a precision measurement of the scaling dimension through a finite-size scaling analysis.

scholarly journals HEISENBERG AND MODULAR INVARIANCE OF N=2 CONFORMAL FIELD THEORY

2000 ◽  
Vol 15 (19) ◽  
pp. 3065-3094
Author(s):  
SHI-SHYR ROAN
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Theta Function ◽  
Central Charge ◽  
Jacobi Form ◽  
Modular Invariance ◽  
Function Representation ◽  
Superconformal Field Theory ◽  
Conformal Field ◽  
Modular Transformations

We present a theta function representation of the twisted characters for the rational N=2 superconformal field theory, and discuss the Jacobi-form like functional properties of these characters for a fixed central charge under the action of a finite Heisenberg group and modular transformations.

scholarly journals Cutoff AdS3 versus $$ T\overline{T} $$ CFT2 in the large central charge sector: correlators of energy-momentum tensor

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yi Li ◽  
Yang Zhou
Keyword(s):  
Field Theory ◽  
Euclidean Plane ◽  
Energy Momentum Tensor ◽  
Central Charge ◽  
Momentum Tensor ◽  
Two Dimensional ◽  
Conformal Field ◽  
Operator Identity ◽  
Pure Gravity ◽  
Charge Sector

Abstract In this article we probe the proposed holographic duality between $$ T\overline{T} $$ T T ¯ deformed two dimensional conformal field theory and the gravity theory of AdS3 with a Dirichlet cutoff by computing correlators of energy-momentum tensor. We focus on the large central charge sector of the $$ T\overline{T} $$ T T ¯ CFT in a Euclidean plane and a sphere, and compute the correlators of energy-momentum tensor using an operator identity promoted from the classical trace relation. The result agrees with a computation of classical pure gravity in Euclidean AdS3 with the corresponding cutoff surface, given a holographic dictionary which identifies gravity parameters with $$ T\overline{T} $$ T T ¯ CFT parameters.

More about superconformal field theory. Hamiltonian formalism

1993 ◽  
Vol 32 (5) ◽  
pp. 775-790
Author(s):  
A. Foussats ◽  
C. Repetto ◽  
O. P. Zandron ◽  
O. S. Zandron
Keyword(s):  
Field Theory ◽  
Hamiltonian Formalism ◽  
Superconformal Field Theory

scholarly journals WZW-TODA REDUCTION USING THE CASIMIR OPERATOR

1994 ◽  
Vol 09 (05) ◽  
pp. 745-758 ◽  
Author(s):  
I. JACK ◽  
J. PANVEL
Keyword(s):  
Field Theory ◽  
Casimir Operator ◽  
Central Charge ◽  
Hamiltonian Operator ◽  
Quantum Level ◽  
Quantum Hamiltonian ◽  
Toda Field Theory

We construct a quantum Hamiltonian operator for the Wess-Zumino-Witten (WZW) model in terms of the Casimir operator. This facilitates the discussion of the reduction of the WZW model to the Toda field theory at the quantum level and provides a very straightforward derivation of the quantum central charge for the Toda field theory.

HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY

1990 ◽  
Vol 02 (01) ◽  
pp. 105-125 ◽  
Author(s):  
DETLEV BUCHHOLZ ◽  
HANNS SCHULZ-MIRBACH
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Central Charge ◽  
Algebraic Approach ◽  
Energy Tensor ◽  
Quantum Field ◽  
Haag Duality ◽  
Conformal Fields ◽  
Stress Energy

Haag duality is established in conformal quantum field theory for observable fields on the compactified light ray S1 and Minkowski space S1×S1, respectively. This result provides the foundation for an algebraic approach to the classification of conformal theories. Haag duality can fail, however, for the restriction of conformal fields to the underlying non-compact spaces ℝ, respectively ℝ×ℝ. A prominent example is the stress energy tensor with central charge c>1.

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