Are genus corrections in effective actions invariant under Buscher rules?
Year: 2025
Type: article
Abstract: It is well-established that the dimensional reduction of the classical effective action of string theory at any order of $$\alpha '$$ α ′ on a circle of arbitrary radius remains invariant under the higher-derivative extension of Buscher transformations. In this study, we investigate the extension of this symmetry to higher-genus levels. By leveraging the validity of Buscher rules for any genus of the world-sheet, we find that the measure of the effective action remains invariant only when reduced on a self-dual circle. Our findings indicate that the invariance of the Lagrangian density under the higher-derivative and higher-genus extension of the corresponding restricted Buscher rules does not yield the one-loop effective action at order $$\alpha '^3$$ α ′ 3 as derived by the S-matrix method. This result aligns with the general belief that quantum gravity has no global symmetry.
Source: The European Physical Journal C
Author: Mohammad R. Garousi
Institution: Ferdowsi University of Mashhad
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408614682