Abstract
We make a comprehensive study on the string winding corrections to supergravity solutions in double field theory (DFT). We find five-brane and wave solutions of diverse codimensions in which the winding coordinates are naturally included. We discuss a physical interpretation of the winding coordinate dependence. The analysis based on the geometric structures behind the solutions leads to an interpretation of the winding dependence as string worldsheet instanton corrections. We also give a brief discussion on the origins of these winding corrections in gauged linear sigma model. Our analysis reveals that for every supergravity solution, one has DFT solutions that include string winding corrections.
Highlights
Among other things, the existence of T-duality which interchanges the Kaluza-Klein (KK) and winding modes of wrapped strings is the most prominent difference between the theories based on point particles and strings
In [10], string worldsheet instanton corrections to the S1-smeared NS5-brane geometry is studied through the gauged linear sigma model (GLSM)
The instanton corrections break the isometry in the S1 and the H-monopole becomes the NS5-brane localized in the S1
Summary
The fundamental fields in DFT are the generalized metric HMN and the generalized dilaton d defined by [16]: HMN =. The components gμν, Bμν and φ are reduced to the metric and the Kalb-Ramond B-field and the dilaton in a certain supergravity frame after the strong constraint is imposed.. The inverse of the generalized metric is obtained through the uplifting of the O(d, d) indices: HMN = ηMP ηNQHP Q. This is a consequence of the fact that HMN is an element of O(d, d). The quantity R is constructed from H and d and is invariant under the generalized coordinate transformation This is called the generalized Ricci scalar and given by. We explore five-brane and wave solutions to these equations
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