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

Betz, Andre; Blumenhagen, Ralph; Lüst, Dieter und Rennecke, Felix (2014): A note on the CFT origin of the strong constraint of DFT. In: Journal of High Energy Physics, Nr. 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.

• Dokumententyp: Zeitschriftenartikel
• Publikationsform: Publisher's Version
• Keywords: Conformal Field Models in String Theory; String Duality; Bosonic Strings
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 1029-8479
• Allianz-/Nationallizenz: Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
• Bemerkung: SCOAP3-Publikation. - Weitere Autoren siehe PDF-Volltext
• Sprache: Englisch