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A comment on the χy genus and supersymmetric quantum mechanics / Tom Kingaby, Timothy Hollowood

Physics Letters B, Volume: "B566", Issue: 3-4, Pages: 258 - 262

Swansea University Author: Timothy Hollowood

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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 tha...

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Published in: Physics Letters B
ISSN: 03702693
Published: 2003
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28536
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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
College: College of Science
Issue: 3-4
Start Page: 258
End Page: 262