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

作者:Betz Andre*; Blumenhagen Ralph; Luest Dieter; Rennecke Felix
来源:The Journal of High Energy Physics, 2014, 2014(5): 044.
DOI:10.1007/JHEP05(2014)044

摘要

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.

  • 出版日期2014-5-12