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.

• Publication year

  2005

• Venue

  Nuclear Physics

• Publication date

  2005-04-01

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1016/j.nuclphysb.2005.05.007arXiv hep-th/0504009
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Logarithmic scaling for height variables in the Abelian sandpile model

  2004cited by this paper
• Superconformal primary fields on a graded Riemann sphere

  2003cited by this paper
• Ghost Systems Revisited: Modified Virasoro Generators and Logarithmic Conformal Field Theories

  2002cited by this paper
• Use of Nilpotent weights in Logarithmic Conformal Field Theories

  2002cited by this paper
• The Neveu-Schwarz and Ramond algebras of logarithmic superconformal field theory

  2002cited by this paper
• D-brane dynamics and logarithmic superconformal algebras

  2001cited by this paper
• An algebraic approach to logarithmic conformal field theory

  2001cited by this paper
• Operator product expansion in logarithmic conformal field theory

  2001cited by this paper
• Fusion rules and logarithmic representations of a WZW model at fractional level

  2001cited by this paper
• Logarithmic currents in the SU(2)0 WZNW model

  2001cited by this paper
• Bits and Pieces in Logarithmic Conformal Field Theory

  2001cited by this paper
• Logarithmic Conformal Field Theories ...

  1999cited by this paper
• Logarithmic N=1 superconformal field theories

  1998influential reference
• The logarithmic conformal field theories

  1996influential reference

• Critical non-Abelian vortices and holography for little string theory

  2021cites this paper
• A pr 2 01 4 Logarithmic Superconformal Minimal Models

  2018cites this paper
• Rational and logarithmic minimal models and their generalisations

  2016cites this paper
• Fusion rules for the logarithmic N = 1 superconformal minimal models: I. The Neveu–Schwarz sector

  2015cites this paper
• Logarithmic superconformal minimal models

  2013cites this paper
• Logarithmic conformal field theory

  2013influential citation
• Correlation Functions in N=3 Superconformal Theory

  2010cites this paper
• Coset graphs in bulk and boundary logarithmic minimal models

  2010cites this paper
• Conformal Field Theory in Two Dimensions

  2006cites this paper
• Conformal Field Theory and Percolation

  2005cites this paper
• Supersymmetric extensions of Schrodinger-invariance

  2005cites this paper
• Operator algebra in logarithmic conformal field theory

  2005cites this paper
• Notes on non-trivial and logarithmic conformal field theories with c = 0

  2005cites this paper
• Four-point functions in logarithmic conformal field theories

  2005cites this paper