Skip to content
DraconiticResearch
Search Sources API
181,713 studies31 sourcesUpdated 39 min ago
PreprintCC BY 4.0arXiv

Can componentwise D7-tadpole cancellation yield a chiral Standard Model? A no-go for smooth O7− orientifolds

  • Mudit Jain
Open at sourcePDFDOICite

Abstract

We study a componentwise prescription for D7-tadpole cancellation that includes, as a special case, the local cancellation used in several moduli-stabilisation constructions. We work in smooth Type IIB Calabi--Yau orientifolds with O7− components of pairwise distinct divisor classes. For each component class [Ri], eight covering-space D7-branes are distributed among smooth irreducible representatives of that class in an orientifold-compatible way. Each component sector may therefore contain several orthogonal, unitary, or symplectic parent factors. We show that these configurations cannot supply the chiral Standard Model through their perturbative D7 spectrum. Without symplectic factors, the entire parent algebra of each component sector embeds into so(8) and cannot contain commuting color and weak-isospin subalgebras. Disjointness excludes massless fermions connecting different component sectors, so quark-doublet fermions are absent. Configurations containing symplectic factors require a separate argument: massless hypercharge, together with the same disjointness, forces the net quark-doublet chirality to vanish. Both arguments allow admissible D7 gauge backgrounds and diagonal gauge embeddings, with no restriction on h1,1−(X). We also give a geometric condition under which the tadpole forces purely local cancellation. For a specified finite set of allowed D7 support classes, a separate test identifies component sectors in which the tadpole forces componentwise cancellation. We discuss applications to toric constructions and axion potentials.

Related

  1. Nonperturbative Chiral Anomaly Cancellation and Irrelevant Operators
    Michele Bianchessi, Vieri Mastropietro, Marcello Porta
    arXivPreprintCC BY 4.0Full textMathematical physicsHigh-energy & particle physicsarXiv
  2. QDL Spectrum Selection as a Conditional Standard Model Theorem: Gauge Seed Minimality, Hypercharge Closure, Anomaly Cancellation, and One-Generation Matter Completion
    James D. Bourassa
    Zenodo (CERN European Organization for Nuclear Research)PreprintCC BY7 citedHigh-energy & particle physicsOpenAlex
  3. Chiral Symmetries in the Standard Model of Particle Physics and its Extensions
    Sergio Ferrando Solera
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  4. Anomaly- and Tadpole-Compatible Fermion Completion of Six-Dimensional SU(4) Gauge-Higgs Unification (Part I)
    Carles Marín Muñoz
    Zenodo (CERN European Organization for Nuclear Research)PreprintLicence not stated12 citedHigh-energy & particle physicsOpenAlex
  5. D-branes and orientifolds on quasicrystalline orbifold backgrounds
    Antony Wendels
    HALPreprintarXiv licenceFull textHigh-energy & particle physicsHALarXiv

Cite

BibTeXRIS
BibTeX
@misc{jain2026componentwise,
  title = {{Can componentwise D7-tadpole cancellation yield a chiral Standard Model? A no-go for smooth O7$^-$ orientifolds}},
  author = {Mudit Jain},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28730},
  eprint = {2610.28730},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28730},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Can componentwise D7-tadpole cancellation yield a chiral Standard Model? A no-go for smooth O7^− orientifolds
AU  - Mudit Jain
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28730
UR  - https://arxiv.org/abs/2610.28730
AB  - We study a componentwise prescription for D7-tadpole cancellation that includes, as a special case, the local cancellation used in several moduli-stabilisation constructions. We work in smooth Type IIB Calabi--Yau orientifolds with O7^− components of pairwise distinct divisor classes. For each component class [R_i], eight covering-space D7-branes are distributed among smooth irreducible representatives of that class in an orientifold-compatible way. Each component sector may therefore contain several orthogonal, unitary, or symplectic parent factors. We show that these configurations cannot supply the chiral Standard Model through their perturbative D7 spectrum. Without symplectic factors, the entire parent algebra of each component sector embeds into so(8) and cannot contain commuting color and weak-isospin subalgebras. Disjointness excludes massless fermions connecting different component sectors, so quark-doublet fermions are absent. Configurations containing symplectic factors require a separate argument: massless hypercharge, together with the same disjointness, forces the net quark-doublet chirality to vanish. Both arguments allow admissible D7 gauge backgrounds and diagonal gauge embeddings, with no restriction on h^1,1_−(X). We also give a geometric condition under which the tadpole forces purely local cancellation. For a specified finite set of allowed D7 support classes, a separate test identifies component sectors in which the tadpole forces componentwise cancellation. We discuss applications to toric constructions and axion potentials.
ER  -