A note on the CFT origin of the strong constraint of DFT

Betz, Andre; Blumenhagen, Ralph; Lüst, Dieter and Rennecke, Felix (2014): A note on the CFT origin of the strong constraint of DFT. In: Journal of High Energy Physics, No. 5, 44

Abstract

In double field theory, motivated by its field theoretic consistency, the level matching condition is generalized to the so-called strong constraint. In this note, it is investigated what the two-dimensional conformal field theory origin of this constraint is. Initially treating the left- and right-movers as independent, we compute the torus partition function as well as a generalized Virasoro-Shapiro amplitude. In non-compact directions the strong constraint arises from the factorization of the Virasoro-Shapiro amplitude over physical states as determined by the modular invariant partition function. From the same argument, along internal toroidal directions, no analogous constraint arises.

• Item Type: Journal article
• Form of publication: Publisher's Version
• Keywords: Conformal Field Models in String Theory; String Duality; Bosonic Strings
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 1029-8479
• Alliance/National Licence: This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
• Annotation: SCOAP3-Publikation. - Weitere Autoren siehe PDF-Volltext
• Language: English