D-branes and orientifolds on quasicrystalline orbifold backgrounds
Abstract
We construct and analyse orientifold descendants of a six-dimensional type IIB ℤ12 quasicrystalline orbifold. The parent background is defined by a Narain-lattice automorphism that is not crystallographic on the geometric torus. We determine the closed-string spectrum and twisted-sector orbit structure, construct a compatible unoriented projection, and compute the Klein bottle, annulus and Möbius strip amplitudes. Tadpole cancellation selects boundary orbits that admit a partially T-dual description as D7-branes at angles and fixes the Chan-Paton gauge group and massless spectrum. The resulting supersymmetric six-dimensional vacuum satisfies the irreducible anomaly constraints, its reducible anomaly polynomial factorizes through the Green-Schwarz mechanism, and its anomaly lattice obeys the Kim-Shiu-Vafa string-probe bound. We also construct a Brane Supersymmetry Breaking descendant with a perturbatively tachyon-free rigid branch, and a freely acting five-dimensional orientifold whose two decompactification limits reproduce a geometric type IIA ℤ3 orientifold and an antisymmetric type IIB ℤ4 orientifold. These examples show that quasicrystalline closed-string backgrounds can admit controlled perturbative open-string completions with non-trivial boundary and crosscap sectors.
Related
- D-term and F-term potential of non-Abelian D7-branes in IIB Calabi-Yau orientifolds
- On quantum corrections to semiclassical strings on AdS5× S5/ℤL orbifold backgrounds
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- Can componentwise D7-tadpole cancellation yield a chiral Standard Model? A no-go for smooth O7− orientifolds
- Satisfying Freed--Witten quantization on smooth divisors in Calabi--Yau orientifolds
BibTeX
@misc{wendels2026dbranes,
title = {{D-branes and orientifolds on quasicrystalline orbifold backgrounds}},
author = {Antony Wendels},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35997},
eprint = {2609.35997},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05784544v1},
}
RIS
TY - UNPB
TI - D-branes and orientifolds on quasicrystalline orbifold backgrounds
AU - Antony Wendels
PY - 2026
DA - 2026/09/28
PB - HAL
DO - 10.48550/arxiv.2609.35997
UR - https://hal.science/hal-05784544v1
AB - We construct and analyse orientifold descendants of a six-dimensional type IIB ℤ_12 quasicrystalline orbifold. The parent background is defined by a Narain-lattice automorphism that is not crystallographic on the geometric torus. We determine the closed-string spectrum and twisted-sector orbit structure, construct a compatible unoriented projection, and compute the Klein bottle, annulus and Möbius strip amplitudes. Tadpole cancellation selects boundary orbits that admit a partially T-dual description as D7-branes at angles and fixes the Chan-Paton gauge group and massless spectrum. The resulting supersymmetric six-dimensional vacuum satisfies the irreducible anomaly constraints, its reducible anomaly polynomial factorizes through the Green-Schwarz mechanism, and its anomaly lattice obeys the Kim-Shiu-Vafa string-probe bound. We also construct a Brane Supersymmetry Breaking descendant with a perturbatively tachyon-free rigid branch, and a freely acting five-dimensional orientifold whose two decompactification limits reproduce a geometric type IIA ℤ_3 orientifold and an antisymmetric type IIB ℤ_4 orientifold. These examples show that quasicrystalline closed-string backgrounds can admit controlled perturbative open-string completions with non-trivial boundary and crosscap sectors.
ER -