On string backgrounds and (logarithmic) CFT
Jorgen Rasmussen
TL;DR
This paper explores the relationship between string backgrounds and their world-sheet conformal field theories, highlighting tools like Penrose limits and Lie algebra contractions, and discussing examples including logarithmic CFTs.
Contribution
It analyzes the connection between string backgrounds and CFTs, illustrating with Nappi-Witten and logarithmic CFTs, and suggests potential extensions.
Findings
Logarithmic CFTs can be linked to specific string backgrounds.
Penrose limits and Lie algebra contractions are effective tools for discovering new backgrounds.
Examples include the Nappi-Witten model and recent logarithmic CFT developments.
Abstract
We discuss the link between string backgrounds and the associated world-sheet CFTs. In the search for new backgrounds and CFTs, Penrose limits and Lie algebra contractions are important tools. The Nappi-Witten construction and the recently discovered logarithmic CFT by Bakas and Sfetsos, are considered as illustrations. We also speculate on possible extensions.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Homotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons