A Comment on the chi_y Genus and Supersymmetric Quantum Mechanics

Abstract

In this note we show that a simple modification of supersymmetric quantum mechanics involving a mass term for half the fermions naturally leads to a derivation of the integral formula for the chi_y genus, a quantity that interpolates between the Euler characteristic and arithmetic genus. We note that this modification naturally arises in the moduli space dynamics of monopoles or instantons in theories with 16 supercharges partially broken to 8 supercharges by mass terms.

6 pages, JHEP, References added

References in corpus (2)

• The Calculus of Many Instantons
• A path integral derivation of ${\chi }_y$-genus

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