A Comment on the chi_y Genus and Supersymmetric Quantum Mechanics

Details A Comment on the chi_y Genus and Supersymmetric Quantum Mechanics A Comment on the chi_y Genus and Supersymmetric Quantum Mechanics

2003-03-03

arxiv.org/abs/hep-th/0303018v2

Phys.Lett. B566 (2003) 258-262

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, JHEP, References added

Scientific paper

10.1016/S0370-2693(03)00842-6

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.

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