A comment on the χ_{y} genus and supersymmetric quantum mechanics
Abstract
In this Letter 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 χ_{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.
 Publication:

Physics Letters B
 Pub Date:
 July 2003
 DOI:
 10.1016/S03702693(03)008426
 arXiv:
 arXiv:hepth/0303018
 Bibcode:
 2003PhLB..566..258H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 6 pages, JHEP, References added