Work

On a Long Exact Sequence of Groups of Equivalence Classes of 2d 𝒩 = (0,1) SQFTs

Year: 2026

Type: article

Abstract: Strongly motivated by a mathematical result by Lin and Yamashita, we describe a long exact sequence formed by groups of equivalence classes of two-dimensional $\mathcal {N}{=}(0,1)$ supersymmetric quantum field theories (SQFTs) with and without $SU(2)$ symmetry. As an application, we study chiral fermions in heterotic compactifications with an $SU(2)$ 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.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptag149

Author: Yuji Tachikawa

Institutions: Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funder: Sponsoring Consortium for Open Access Publishing in Particle Physics