Work

The Compactified D-Brane Cylinder Amplitude and T Duality

Year: 2025

Type: article

Abstract: In this paper, we address how to implement T-duality to the closed string tree cylinder amplitude between a Dp brane and a Dp′ brane with p−p′=2n. To achieve this, we compute the closed string tree cylinder amplitude, for the first time, between these two D-branes with common longitudinal and transverse circle compactifications. We then show explicitly how to perform a T-duality for this amplitude along either a longitudinal or a transverse compactified direction to both branes. At the decompactification limit, we show that either the compactified cylinder amplitude or the T dual compactified cylinder gives the known non-compactified one as expected.

Source: Modern mathematical physics

DOI: 10.3390/mmphys1010003

Author: Jian-Xin Lu

Institutions: University of Science and Technology of China, Peng Huanwu Center for Fundamental Theory

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,207

Funder: National Natural Science Foundation of China