# Vanishing Chiral Algebras and Höhn-Stolz Conjecture - High Energy Physics - Theory

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Abstract: Given a two-dimensional quantum field theory with 0,2 supersymmetry, onecan construct a chiral or vertex algebra. The chiral algebra of a 0,2supersymmetric sigma model is, perturbatively, the cohomology of a sheaf ofchiral differential operators on a string K\-ahler manifold. However, itvanishes in some cases when instantons are taken into account. I will discussthe implication of this phenomenon for the H\-ohn-Stolz conjecture on theWitten genus.

Author: ** Junya Yagi**

Source: https://arxiv.org/