Elliptic genus, anomaly cancellation and heterotic M-theory

Kang Sin Choi, Soo Jong Rey

Research output: Contribution to journalArticlepeer-review


We derive global consistency condition for strongly coupled heterotic string in the presence of M5-branes. Its elliptic genus is interpretable as generating functional of anomaly polynomials and so, on anomaly-free vacua, the genus is both holomorphic and modular invariant. In the holomorphic basis, we identify the modular properties by calculating the phase. By interpreting the refinement parameters as background curvature of tangent and vector bundles, we show that the extended Bianchi identity for Kalb-Ramond field of heterotic M-theory is satisfied in the presence of arbitrary numbers of M5-branes.

Original languageEnglish
Article number126001
JournalPhysical Review D
Issue number12
StatePublished - 15 Jun 2021

Bibliographical note

Publisher Copyright:
© 2021 authors. Published by the American Physical Society.


Dive into the research topics of 'Elliptic genus, anomaly cancellation and heterotic M-theory'. Together they form a unique fingerprint.

Cite this