Kavli Affiliate: Yuji Tachikawa
| First 5 Authors: Yuji Tachikawa, Yuji Tachikawa, , ,
| Summary:
Strongly motivated by a mathematical result by Lin and Yamashita
(arXiv:2412.02298), we describe a long exact sequence formed by groups of
equivalence classes of two-dimensional $mathcalN=(0,1)$ supersymmetric
quantum field theories (SQFTs) with and without $SU(2)$ symmetry. As an
application, we study chiral fermions in heterotic compactifications with
$SU(2)$ symmetry of level one to four dimensions, and show that each
even-dimensional irreducible representation of $SU(2)$ appears even times,
assuming the conjectural relation between topological modular forms and SQFTs.
This implies the absence of the Witten anomaly, but contains more information
than that.
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