Modular invariant partition functions for non-compact G/Ad(H) models

Abstract

We propose a spectrum for a class of gauged non-compact G/Ad(H) WZNW models, including spectrally flowed images of highest, lowest, and mixed extremal weight modules. These are combined into blocks whose characters, due to the Lorentzian signature of the target space, are divergent and treated as formal expressions in need of regularisation. Assuming that this is possible, we show that these extended characters transform linearly under modular transformations, and can be used to write down modular invariant partition functions.

23 pages

References in corpus (4)

• Fusion rules and four-point functions in the AdS3 WZNW model
• On the unitarity of gauged non-compact WZNW strings
• On the unitarity of gauged non-compact world-sheet supersymmetric WZNW models
• A no-ghost theorem for the bosonic Nappi-Witten string

Cited by in corpus (2)

• On modular properties of the AdS3 CFT
• On duality and extended chiral symmetry in the SL(2,R) WZW model