Work

T-duality on almost hermitian spaces

Year: 2025

Type: article

Abstract: We investigate T-duality transformation on an almost bi-hermitian space with torsion. By virtue of the Buscher rule, we completely describe not only the covariant derivative of geometrical objects but also the Nijenhuis tensor. We apply this description to an almost bi-hermitian space with isometry and investigate integrability on its T-dualized one. We find that hermiticity is not a sufficient condition to preserve integrability under T-duality transformations. However, in the presence of the Kähler condition, the T-dualized space still admits integrability of the almost complex structures. We also observe that the form of H-flux is suitable for string compactification scenarios.

Source: Nuclear Physics B

DOI: 10.1016/j.nuclphysb.2025.116870

Authors: Tetsuji Kimura, Shin Sasaki, Kenta Shiozawa

Institutions: Osaka Institute of Technology, Kitasato University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Yukawa Institute for Theoretical Physics, Kyoto University, Japan Society for the Promotion of Science

Award: Interior of black holes and Hawking radiation from spacetime T-duality