Abstract
The O(D,D) covariant generalized metric, postulated as a truly fundamental variable, can describe novel geometries where the notion of Riemannian metric ceases to exist. Here we quantize a closed string upon such backgrounds and identify flat, anomaly free, non-Riemannian string vacua in the familiar critical dimension, D=26 (or D=10). Remarkably, the whole Becchi-Rouet-Stora-Tyutin closed string spectrum is restricted to just one level with no tachyon, and matches the linearized equations of motion of double field theory. Taken as an internal space, our non-Riemannian vacua may open up novel avenues alternative to traditional string compactification.
Highlights
We quantize a closed string upon such backgrounds and identify flat, anomaly free, non-Riemannian string vacua in the familiar critical dimension, D 1⁄4 26
The whole Becchi-Rouet-Stora-Tyutin closed string spectrum is restricted to just one level with no tachyon, and matches the linearized equations of motion of double field theory
The types of ðD; 0Þ or ð0; DÞ are worthy of note. They are uniquely given by HMN 1⁄4 ÆJ MN, and correspond to the most symmetric vacua of double field theory (DFT) with no moduli [24]
Summary
OðD; DÞ singlet dilaton through eD−2FdT1⁄4diplaffi−tffioffiffigffinffie−re2φla,teadndto the Sð0Þ. Postulating fJ MN; HMN; dg as the only geometric quantities, one can uniquely identify a covariant derivative, ∇M [41,42], and construct the scalar curvature, Sð0Þ, as well as “Einstein” tensor, GMN, which is off-shell conserved, ∇MGMN 1⁄4 0 [43]. This is all analogous to general relativity, though there seems no four-index Riemann tensor [44].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
