Skip to content
DraconiticResearch
Search Sources API
197,788 studies31 sourcesUpdated 17 min ago
PreprintCC BY 4.0arXiv

Twisted Cohomology of D-Brane Disk Integrals

  • Komeil Babaei Velni
Open at sourcePDFDOICite

Abstract

Disk-level scattering amplitudes involving one Ramond--Ramond and two NSNS states on a D-brane obey nontrivial identities among scalar world-sheet integrals imposed by gauge and T-duality Ward identities. We investigate the cohomological organization of these relations using twisted de Rham cohomology and show that the Ward identities admit twisted-exact representatives. In the I/J sector, the unique generic linear dependence among the Ward identities is realized one degree lower in the same twisted de Rham complex, revealing a common cohomological origin for the identities and their syzygy. We also identify independent pointwise algebraic relations among the integrands. An independent cohomological rank computation then establishes that the physically selected I/J family spans a five-dimensional subspace of the top twisted cohomology at generic complexified kinematics. Extending the construction to the K-family, including the exceptional double-pole representative K3, introduces no additional cohomology direction. Hence the complete I/J/K family considered here spans the same five-dimensional subspace.

Related

  1. Permutation twisted cohomology, reduced and immersed
    Juan Omar Gómez, Sam K. Miller
    arXivPreprintarXiv licenceFull textAlgebra & number theoryGeometry & topologyarXiv
  2. Dear Quantizers, Stochastic ≈ Brane
    Justin Kulp
    arXivPreprintarXiv licenceFull textMathematical physicsHigh-energy & particle physicsarXiv
  3. M5-brane source charges, Chern--Connes pairings and noncommutative compactifications
    Ioannis P. Zois
    arXivPreprintarXiv licenceFull textAlgebra & number theoryMathematical physicsarXiv
  4. Tensionless limit of M5-brane and conformal symmetry of its bosonic body
    Igor Bandos, Kurt Lechner, Dmitri P. Sorokin
    arXivPreprintarXiv licenceFull textMathematical physicsHigh-energy & particle physicsarXiv
  5. Abelian Orbifolds for Brane Brick Models
    Juno Kwon, Rak-Kyeong Seong
    arXivPreprintarXiv licenceFull textAlgebra & number theoryMathematical physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{velni2026twisted,
  title = {{Twisted Cohomology of D-Brane Disk Integrals}},
  author = {Komeil Babaei Velni},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.36274},
  eprint = {2609.36274},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.36274},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Twisted Cohomology of D-Brane Disk Integrals
AU  - Komeil Babaei Velni
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.36274
UR  - https://arxiv.org/abs/2609.36274
AB  - Disk-level scattering amplitudes involving one Ramond--Ramond and two NSNS states on a D-brane obey nontrivial identities among scalar world-sheet integrals imposed by gauge and T-duality Ward identities. We investigate the cohomological organization of these relations using twisted de Rham cohomology and show that the Ward identities admit twisted-exact representatives. In the I/J sector, the unique generic linear dependence among the Ward identities is realized one degree lower in the same twisted de Rham complex, revealing a common cohomological origin for the identities and their syzygy. We also identify independent pointwise algebraic relations among the integrands. An independent cohomological rank computation then establishes that the physically selected I/J family spans a five-dimensional subspace of the top twisted cohomology at generic complexified kinematics. Extending the construction to the K-family, including the exceptional double-pole representative K_3, introduces no additional cohomology direction. Hence the complete I/J/K family considered here spans the same five-dimensional subspace.
ER  -