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Matter Swapping between Two Branes: A Local Type IIB D3-D7-D3 Realization of Charged-Fermion Mixing via E3 Instantons

Abstract

Effective infrared two-sheeted descriptions of fermion mixing between braneworlds have emerged in several distinct realizations and lead to testable matter-swapping effects, motivating low-energy searches and cosmological applications. The recurrence of the same low-energy fermion operator motivates asking whether this structure can also arise from a D-brane mechanism. We construct a local Type IIB D3+-D7-D3-/E3 realization in which direct interbrane mixing is perturbatively forbidden but generated non-perturbatively by a suitable E3 instanton sector. The resulting low-energy interaction reproduces the characteristic pseudoscalar structure of the two-sheeted fermion operator, together with its scalar companion, while D7 Wilson transport provides the required gauge-invariant relative connection. The construction therefore provides a local string realization of the same operator structure, subject to the stated instanton and zero-mode conditions. The analysis further provides a concrete model-building roadmap toward a compact phenomenological realization: the compactification must achieve electromagnetic sequestering of the two fermion sectors and support a sufficiently light non-uniform D7 gauge mode capable of mediating a long-range relative interaction. In such a complete compactification, the mixing parameter g would in principle become computable from microscopic string data and directly testable against low-energy constraints.

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BibTeX
@misc{sarrazin2026matter,
  title = {{Matter Swapping between Two Branes: A Local Type IIB D3-D7-D3 Realization of Charged-Fermion Mixing via E3 Instantons}},
  author = {Michaël Sarrazin},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17858},
  eprint = {2609.17858},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05763239v1},
}
RIS
TY  - UNPB
TI  - Matter Swapping between Two Branes: A Local Type IIB D3-D7-D3 Realization of Charged-Fermion Mixing via E3 Instantons
AU  - Michaël Sarrazin
PY  - 2026
DA  - 2026/09/15
PB  - HAL
DO  - 10.48550/arxiv.2609.17858
UR  - https://hal.science/hal-05763239v1
AB  - Effective infrared two-sheeted descriptions of fermion mixing between braneworlds have emerged in several distinct realizations and lead to testable matter-swapping effects, motivating low-energy searches and cosmological applications. The recurrence of the same low-energy fermion operator motivates asking whether this structure can also arise from a D-brane mechanism. We construct a local Type IIB D3_+-D7-D3_-/E3 realization in which direct interbrane mixing is perturbatively forbidden but generated non-perturbatively by a suitable E3 instanton sector. The resulting low-energy interaction reproduces the characteristic pseudoscalar structure of the two-sheeted fermion operator, together with its scalar companion, while D7 Wilson transport provides the required gauge-invariant relative connection. The construction therefore provides a local string realization of the same operator structure, subject to the stated instanton and zero-mode conditions. The analysis further provides a concrete model-building roadmap toward a compact phenomenological realization: the compactification must achieve electromagnetic sequestering of the two fermion sectors and support a sufficiently light non-uniform D7 gauge mode capable of mediating a long-range relative interaction. In such a complete compactification, the mixing parameter g would in principle become computable from microscopic string data and directly testable against low-energy constraints.
ER  -