Publication details
Two-loop conformal invariance for Yang-Baxter deformed strings
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of High Energy Physics |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.1007/JHEP03(2020)126 |
| Doi | http://dx.doi.org/10.1007/JHEP03(2020)126 |
| Keywords | Bosonic Strings; Conformal Field Models in String Theory; String Duality |
| Description | The so-called homogeneous Yang-Baxter (YB) deformations can be considered a non-abelian generalization of T-duality-shift-T-duality (TsT) transformations. TsT transformations are known to preserve conformal symmetry to all orders in alpha '. Here we argue that (unimodular) YB deformations of a bosonic string also preserve conformal symmetry, at least to two-loop order. We do this by showing that, starting from a background with no NSNS-flux, the deformed background solves the alpha ' -corrected supergravity equations to second order in the deformation parameter. At the same time we determine the required alpha ' -corrections of the deformed background, which take a relatively simple form. In examples that can be constructed using, possibly non-commuting sequences of, TsT transformations we show how to obtain the first alpha ' -correction to all orders in the deformation parameter by making use of the alpha ' -corrected T-duality rules. We demonstrate this on the specific example of YB deformations of a Bianchi type II background. |