Witten anomaly in 4d heterotic compactificaitons with N $$ \mathcal{N} $$ = 2 supersymmetry

Journal of High Energy Physics

Yotaro Sato¹  Taizan Watari¹  Yuichi Enoki¹ 

[1] Kavli Institute for the Physics and Mathematics of the Universe (WPI), the University of Tokyo;

关键词: Anomalies in Field and String Theories;    String Duality;    Superstrings and Heterotic Strings;   

DOI  :  10.1007/JHEP07(2020)180

来源: DOAJ

【 摘 要 】

Abstract We showed that there is no SU(2) Witten anomaly in a large class of 4d N $$ \mathcal{N} $$ = 2 supersymmetric Heterotic string compactifications. The consistency conditions we consider are the modularity of the new supersymmetric index, the integrality of BPS indices, and the discrete Peccei-Quinn shift symmetries. We also found an example where these conditions are not sufficient to show that the theory is anomaly free. This suggests that there are more conditions in the worldsheet SCFT essential for consistent string compactifications.

【 授权许可】

Unknown