Skip to content
DraconiticResearch
Search Sources API
194,230 studies31 sourcesUpdated 26 min ago
PreprintarXiv licencearXiv

Anomalies and discrete torsion in Type II and Type I worldsheet theories

  • Masashi Kawahira
  • Shotaro Kawanago
  • Shota Saito
  • Hiroki Wada
Open at sourcePDFDOICite

Abstract

We provide a comprehensive study of anomalies and discrete torsion in the worldsheet theories of Type II and Type I string theories on a general ten-dimensional target space. In the modern understanding, the anomaly of a worldsheet theory is characterized by an invertible field theory in three dimensions, and invertible field theories are classified by the Anderson dual of a suitable bordism theory. To study the anomaly cancellation condition, we employ the explicit model of the Anderson dual constructed by Yamashita and Yonekura. We find that, for both Type II and Type I string theories, the anomaly of the worldsheet theory is cancelled if and only if the target space is orientable and admits a spin structure. We also determine the discrete torsion and clarify its physical meaning. It includes the distinctions between Type IIA and Type IIB string theories and between ordinary Type I and Sugimoto string theories.

Related

  1. Fractional Superfluid Vortices and Worldsheet Wess--Zumino--Witten Models in Two-Color QCD and Sp(2N) Gauge Theories
    Muneto Nitta
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  2. Generalised Symmetries, Anomalies, and Maximal Branches of 3d Chern-Simons Matter Theories
    Fabio Marino, Francesca Pretto, Marcus Sperling
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  3. Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes
    Keshav Dasgupta, Radu Tatar
    arXivPreprintCC BY 4.0Full textMathematical physicsHigh-energy & particle physicsarXiv
  4. An obstruction to generalised discrete torsion in string theory
    Carlo Angelantonj, Giorgio Leone, Diego Perugini
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  5. Discrete Backbone Elasticity and Curvature-Dependent Torsion Statistics in Proteins
    Yiquan Wang, Mingyu Bian, Jiayuan Ma
    arXivPreprintCC BY-SA 4.0Full textBiophysicsPhysical chemistryarXiv

Cite

BibTeXRIS
BibTeX
@misc{kawahira2026anomalies,
  title = {{Anomalies and discrete torsion in Type II and Type I worldsheet theories}},
  author = {Masashi Kawahira and Shotaro Kawanago and Shota Saito and Hiroki Wada},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.30774},
  eprint = {2608.30774},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30774},
}
RIS
TY  - UNPB
TI  - Anomalies and discrete torsion in Type II and Type I worldsheet theories
AU  - Masashi Kawahira
AU  - Shotaro Kawanago
AU  - Shota Saito
AU  - Hiroki Wada
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.30774
UR  - https://arxiv.org/abs/2608.30774
AB  - We provide a comprehensive study of anomalies and discrete torsion in the worldsheet theories of Type II and Type I string theories on a general ten-dimensional target space. In the modern understanding, the anomaly of a worldsheet theory is characterized by an invertible field theory in three dimensions, and invertible field theories are classified by the Anderson dual of a suitable bordism theory. To study the anomaly cancellation condition, we employ the explicit model of the Anderson dual constructed by Yamashita and Yonekura. We find that, for both Type II and Type I string theories, the anomaly of the worldsheet theory is cancelled if and only if the target space is orientable and admits a spin structure. We also determine the discrete torsion and clarify its physical meaning. It includes the distinctions between Type IIA and Type IIB string theories and between ordinary Type I and Sugimoto string theories.
ER  -