抄録
<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1<jats:italic>,</jats:italic> 0) theories on 4-manifolds with flavor symmetry backgrounds. The effective 2d theory has (0<jats:italic>,</jats:italic> 1) supersymmetry and, possibly, a residual flavor symmetry. The equivariant topological Witten genus of this 2d theory then produces a new invariant of the 4-manifold equipped with a principle bundle, valued in the ring of equivariant weakly holomorphic (topological) modular forms. We describe basic properties of this map and present a few simple examples. As a byproduct, we obtain some new results on ’t Hooft anomalies of 6d (1<jats:italic>,</jats:italic> 0) theories and a better understanding of the relation between 2d (0<jats:italic>,</jats:italic> 1) theories and TMF spectra.</jats:p>
収録刊行物
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- Journal of High Energy Physics
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Journal of High Energy Physics 2021 (5), 84-, 2021-05
Springer Science and Business Media LLC