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A holomorphic anomaly in the elliptic genus

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I shall discuss the elliptic genera of a class of (2,2) superconformal field theories in two dimensions with non-compact target spaces. These theories have a continuous spectra and unequal density of states for bosons and fermions. The corresponding elliptic genera are not holomorphic and have mock modular behaviour. I shall discuss these theories from the ultra-violet gauged linear sigma model point of view, and explain how the lack of holomorphicity arises from an axionic compensator field that cures the chiral anomaly in the theory.

This talk is part of the Quantum Fields and Strings Seminars series.

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