Supersymmetric proof of the Hirzebruch-Riemann-Roch theorem for non-kähler manifolds

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Abstract

We present the proof of the HRR theorem for a generic complex compact manifold by evaluating the functional integral for the Witten index of the appropriate supersymmetric quantum mechanical system.

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Smilga, A. V. (2012). Supersymmetric proof of the Hirzebruch-Riemann-Roch theorem for non-kähler manifolds. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 8. https://doi.org/10.3842/SIGMA.2012.003

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