T-duality of string charge density/bit threads correspondence in type II supergravity

Abstract

In this paper, we study Abelian T-duality of the string charge density/bit threads correspondence in ten-dimensional Type II supergravity. T-duality along the common compact circle maps the Type IIB F1-NS5-P background to a Type IIA P-NS5-F1 background with the winding and momentum charges exchanged. The radial F1 source remains an F1 source, and its projected charge density gives a bit-thread flow whose maximal flux reproduces the black hole entropy. The same duality maps D1-D5-P to D0-D4-F1. In this case, a radial D1 source becomes a D2 source wrapped on the dual circle. Contracting the resulting spatial bivector with the normalized closed one-form on that circle gives a conserved effective radial flow whose maximal flux again reproduces the entropy. Although the local metrics, dilatons, source currents, and flow norms change, the dilaton-weighted transverse area density and the integrated maximal flux are invariant. These results provide a nontrivial T-duality test of the correspondence and extend it from string currents to wrapped-brane currents that reduce to string-like flows.

String charge density/bit threads correspondence and its S-duality in type IIB supergravity
Houwen Wu, Shuxuan Ying
arXiv17 Sep 2026PreprintCC BY 4.0Full textGravitation & general relativity High-energy & particle physicsarXiv
A Ghost-Free dS/AdS Correspondence in 𝒩=1 Supergravity
Omer Guleryuz
arXiv2 Nov 2026PreprintarXiv licenceFull textGravitation & general relativity High-energy & particle physicsarXiv
Reconstructing BPS String Charge Cone in 6d N=(1,0) Supergravity
Yuta Hamada, Hee-Cheol Kim, Kai Xu
arXiv17 Oct 2026PreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
Scalar hair at the string-black-hole correspondence
E. Pavone
Journal of High Energy Physics14 Oct 2026Peer-reviewedCC BY 4.0Full textHigh-energy & particle physicsCrossref
A Clarifying Note on the Position-Momentum Correspondence: Pontryagin Duality, Fourier Transport, and Physical Normalization
Samuel B. Soltau
arXiv13 Sep 2026PreprintarXiv licenceFull textQuantum physics & quantum informationarXiv

Cite

BibTeX RIS

BibTeX

@misc{wu2026tduality,
  title = {{T-duality of string charge density/bit threads correspondence in type II supergravity}},
  author = {Houwen Wu and Shuxuan Ying},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24366},
  eprint = {2609.24366},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24366},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - T-duality of string charge density/bit threads correspondence in type II supergravity
AU  - Houwen Wu
AU  - Shuxuan Ying
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.24366
UR  - https://arxiv.org/abs/2609.24366
AB  - In this paper, we study Abelian T-duality of the string charge density/bit threads correspondence in ten-dimensional Type II supergravity. T-duality along the common compact circle maps the Type IIB F1-NS5-P background to a Type IIA P-NS5-F1 background with the winding and momentum charges exchanged. The radial F1 source remains an F1 source, and its projected charge density gives a bit-thread flow whose maximal flux reproduces the black hole entropy. The same duality maps D1-D5-P to D0-D4-F1. In this case, a radial D1 source becomes a D2 source wrapped on the dual circle. Contracting the resulting spatial bivector with the normalized closed one-form on that circle gives a conserved effective radial flow whose maximal flux again reproduces the entropy. Although the local metrics, dilatons, source currents, and flow norms change, the dilaton-weighted transverse area density and the integrated maximal flux are invariant. These results provide a nontrivial T-duality test of the correspondence and extend it from string currents to wrapped-brane currents that reduce to string-like flows.
ER  -

Abstract

Related

Cite