Logarithmic Primary Fields in Conformal and Superconformal Field Theory

Abstract

In this note, some aspects of the generalization of a primary field to the logarithmic scenario are discussed. This involves understanding how to build Jordan blocks into the geometric definition of a primary field of a conformal field theory. The construction is extended to N=1,2 superconformal theories. For the N=0,2 theories, the two-point functions are calculated.

17 pages LaTeX 2e, references added, journal details added

References in corpus (12)

• Bits and Pieces in Logarithmic Conformal Field Theory
• An algebraic approach to logarithmic conformal field theory
• Fusion rules and logarithmic representations of a WZW model at fractional level
• The Logarithmic Conformal Field Theories
• Operator Product Expansion in Logarithmic Conformal Field Theory
• Logarithmic scaling for height variables in the Abelian sandpile model
• The Neveu-Schwarz and Ramond Algebras of Logarithmic Superconformal Field Theory
• Logarithmic N=1 superconformal field theories
• Use of Nilpotent weights in Logarithmic Conformal Field Theories
• Logarithmic Currents in the SU(2)_0 WZNW model
• Ghost Systems Revisited: Modified Virasoro Generators and Logarithmic Conformal Field Theories
• Superconformal Primary Fields on a Graded Riemann Sphere

Cited by in corpus (9)

• Supersymmetric extensions of Schrödinger-invariance
• Logarithmic Superconformal Minimal Models
• Notes on non-trivial and logarithmic CFTs with c=0
• Coset Graphs in Bulk and Boundary Logarithmic Minimal Models
• Fusion rules for the logarithmic $N=1$ superconformal minimal models I: the Neveu-Schwarz sector
• Four-Point Functions in Logarithmic Conformal Field Theories
• Operator Algebra in Logarithmic Conformal Field Theory
• Critical Non-Abelian Vortex and Holography for Little String Theory
• Correlation Functions in N=3 Superconformal Theory