An algebraic approach to logarithmic conformal field theory

By M. Gaberdiel. 2001

219 citations recorded by the source corpus.

A comprehensive introduction to logarithmic conformal field theory, using an algebraic point of view, is given. A number of examples are explained in detail, including the c = −2 triplet theory and the k = −4/3 affinesu(2) theory. We also give some brief introduction to the work of Zhu.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d75022d63474f86651cbb1dee1b303b9d8baef1b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. T. Creutzig
2. David Ridout
3. Pavel Etingof
4. V. Ostrik
5. James Lepowsky
6. Lin Zhang
7. Yi-Zhi Huang
8. V. Schomerus

Citations in the corpus

• Closed strings from decaying D-branes (2003, background): “Note that VB and V1 form a “logarithmic” pair [39,40,41].”
• Nonsemisimple Fusion Algebras and the Verlinde Formula (2003, unknown): “WritingC=(S(p))2 in the2× 2-block form C = C0,0 C0,1 . . . C0,p−1 C1,0 C1,1 . . . C1,p−1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . Cp−1,0 Cp−1,1 . . . Cp−1,p−1 , we concentrate on the more involved blocksCs,j with 0 s, j p. Assuming that p is odd for brevity (in order to avoid…”
• The GL(1|1) WZW-model: From supergeometry to logarithmic CFT (2005, background): “Many more details and references may be found in recent review articles [30, 31].”
• The WZNW model on PSU (1,1|2) (2006, unknown): “[22 – 25] and references therein).”
• Finite tensor categories (2003, background): “3. Logarithmic conformal field theories; they lead to nonsemisimple finite tensor categories, similarly to how rational conformal field theories lead to semisimple ones (see [ Ga ]).”
• Logarithmic conformal field theory: beyond an introduction (2013, background): “In particular, there are two fine reviews of the subj ect [12,13] which focus on, among other things, modular transformations and module structure, mostly for a family o f theories related to symplectic fermions.”
• Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and their Generalized Modules (2010, methodology): “We refer the interested reader to the review articles [31, 42, 118] and [39], and references therein.”
• Instability in cosmological topologically massive gravity at the chiral point (2008, background): “(For reviews see [14, 15]; for some applications to AdS/LCFT see [16–20].”