Skip to content
DraconiticResearch
Search Sources API
203,948 studies31 sourcesUpdated 22 min ago
Peer-reviewedCC BY-SA 4.0Symmetry, Integrability and Geometry: Methods and Applications

Type IIA String Theory and tmf with Level Structure

  • Arun Debray1
  • Matthew Yu2
  1. 1University of Kentucky, USA
  2. 2University of Oxford, UK
Open at sourcePDFDOICite

Abstract

We look at a new stringh tangential structure first introduced by Devalapurkar and relate it to the W7=0 condition of Diaconescu-Moore-Witten for type IIA string theory and M-theory. We show that a stringh structure on the target space automatically satisfies the W7=0 condition, and we explain when the W7=0 condition lifts to a stringh structure. Devalapurkar initially constructed MTStringh in such a way that it orients tmf1(3); we~extend Devalapurkar's result by showing that MTStringh orients tmf1(n). We compute the homotopy groups of MTStringh in dimensions relevant to physical applications and apply them to anomaly cancellation for certain compactifications of type IIA string theory.

Related

  1. Towards a unified theory for semiparametric data fusion with individual-level data
    Ellen Graham, Marco Carone, Andrea G. Rotnitzky
    The Annals of StatisticsPeer-reviewedLicence not statedFull text13 citedStatisticsOpenAlex
  2. A statistical theory for blind denoising: minimax estimation of the noise level from a single sample
    Zhuoer Shen
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
  3. Counting level-raising congruences using modular representation theory
    Jaclyn Lang, Robert Pollack, Preston Wake
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Two-level Factorial Life Testing with Type-II Censored Data
    Ilya Gertsbakh
    Reliability: Theory & ApplicationsPeer-reviewedCC BY-NCFull textStatisticsDOAJ
  5. Hanslick's Musical Formalism as a Mathematical Structure - Examining meaning in Music through the Lens of Category Theory
    Ilyas Khan
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@article{debray2026type,
  title = {{Type IIA String Theory and tmf with Level Structure}},
  author = {Arun Debray and Matthew Yu},
  journal = {Symmetry, Integrability and Geometry: Methods and Applications},
  year = {2026},
  month = oct,
  doi = {10.3842/sigma.2026.100},
  url = {https://sigma-journal.com/2026/100/},
  note = {CC BY-SA 4.0},
}
RIS
TY  - JOUR
TI  - Type IIA String Theory and tmf with Level Structure
AU  - Arun Debray
AU  - Matthew Yu
PY  - 2026
DA  - 2026/10/19
JO  - Symmetry, Integrability and Geometry: Methods and Applications
DO  - 10.3842/sigma.2026.100
UR  - https://sigma-journal.com/2026/100/
AB  - We look at a new string^h tangential structure first introduced by Devalapurkar and relate it to the W_7=0 condition of Diaconescu-Moore-Witten for type IIA string theory and M-theory. We show that a string^h structure on the target space automatically satisfies the W_7=0 condition, and we explain when the W_7=0 condition lifts to a string^h structure. Devalapurkar initially constructed MTString^h in such a way that it orients tmf_1(3); we~extend Devalapurkar's result by showing that MTString^h orients tmf_1(n). We compute the homotopy groups of MTString^h in dimensions relevant to physical applications and apply them to anomaly cancellation for certain compactifications of type IIA string theory.
SN  - 1815-0659
ER  -