https://doi.org/10.1140/epjc/s10052-024-12462-w
Regular Article - Theoretical Physics
T-duality constraint on effective Lagrangians
Department of Physics, Faculty of Science, Ferdowsi University of Mashhad, P.O. Box 1436, Mashhad, Iran
Received:
29
November
2023
Accepted:
18
January
2024
Published online:
28
January
2024
Recent studies have highlighted the significant role of utilizing O(1, 1) symmetry in the circular reduction of effective actions to determine NS–NS couplings in the effective action of string theory. However, these calculations often result in residual terms as total derivatives that do not conform to O(1, 1) transformations. In this paper, we present explicit calculations at 
order, demonstrating the enforceability of this symmetry on effective Lagrangians to establish the parameters governing covariant couplings in any scheme. Notably, we discover the O(1, 1)-invariant Lagrangians corresponding to the Metsaev–Tseytlin action and the Meissner action.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
