Kavli Affiliate: Yuji Tachikawa
| First 5 Authors: Yuji Tachikawa, Mayuko Yamashita, Kazuya Yonekura, ,
| Summary:
For physicists: For supersymmetric quantum mechanics, there are cases when a
mod-2 Witten index can be defined, even when a more ordinary
$mathbb{Z}$-valued Witten index vanishes. Similarly, for 2d supersymmetric
quantum field theories, there are cases when a mod-2 elliptic genus can be
defined, even when a more ordinary elliptic genus vanishes. We study such mod-2
elliptic genera in the context of $mathcal{N}=(0,1)$ supersymmetry, and show
that they are characterized by mod-2 reductions of integral modular forms,
under some assumptions.
For mathematicians: We study the image of the standard homomorphism $pi_n
mathrm{TMF}to pi_n mathrm{KO}((q))simeq mathbb{Z}/2((q))$ for $n=8k+1$ or
$8k+2$, by relating them to the mod-2 reductions of integral modular forms.
| Search Query: ArXiv Query: search_query=au:”Yuji Tachikawa”&id_list=&start=0&max_results=3