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A comment on the χy genus and supersymmetric quantum mechanics
Physics Letters B, Volume: "B566", Issue: 3-4, Pages: 258 - 262
Swansea University Author:
Timothy Hollowood
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DOI (Published version): 10.1016/S0370-2693(03)00842-6
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...
| Published in: | Physics Letters B |
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| ISSN: | 03702693 |
| Published: |
2003
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| Online Access: |
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| 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 |
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| College: |
Faculty of Science and Engineering |
| Issue: |
3-4 |
| Start Page: |
258 |
| End Page: |
262 |