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A comment on the χy genus and supersymmetric quantum mechanics

Tom Kingaby, Timothy Hollowood Orcid Logo

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

Swansea University Author: Timothy Hollowood Orcid Logo

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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...

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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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first_indexed 2016-06-03T19:16:16Z
last_indexed 2018-02-09T05:12:46Z
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spelling 2016-06-03T14:36:20.9844945 v2 28536 2016-06-03 A comment on the χy genus and supersymmetric quantum mechanics ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH 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 Journal Article Physics Letters B "B566" 3-4 258 262 03702693 31 3 2003 2003-03-31 10.1016/S0370-2693(03)00842-6 http://inspirehep.net/record/614380 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:20.9844945 2016-06-03T14:36:20.8128934 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Tom Kingaby 1 Timothy Hollowood 0000-0002-3258-320X 2
title A comment on the χy genus and supersymmetric quantum mechanics
spellingShingle A comment on the χy genus and supersymmetric quantum mechanics
Timothy Hollowood
title_short A comment on the χy genus and supersymmetric quantum mechanics
title_full A comment on the χy genus and supersymmetric quantum mechanics
title_fullStr A comment on the χy genus and supersymmetric quantum mechanics
title_full_unstemmed A comment on the χy genus and supersymmetric quantum mechanics
title_sort A comment on the χy genus and supersymmetric quantum mechanics
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Tom Kingaby
Timothy Hollowood
format Journal article
container_title Physics Letters B
container_volume "B566"
container_issue 3-4
container_start_page 258
publishDate 2003
institution Swansea University
issn 03702693
doi_str_mv 10.1016/S0370-2693(03)00842-6
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/614380
document_store_str 0
active_str 0
description 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
published_date 2003-03-31T03:34:44Z
_version_ 1763751477683159040
score 11.013619

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