On melonic supertensor models

Abstract We investigate a class of supersymmetric quantum mechanical theories (with two supercharges) having tensor-valued degrees of freedom which are dominated by melon diagrams in the large N limit. One motivation was to examine the interplay between supersymmetry and melonic dominance and potent...

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Main Authors: Chi-Ming Chang, Sean Colin-Ellerin, Mukund Rangamani
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2018)157
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spelling doaj-e3862a6ee40a4872afd2455ed26974ef2020-11-25T02:00:09ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181015410.1007/JHEP10(2018)157On melonic supertensor modelsChi-Ming Chang0Sean Colin-Ellerin1Mukund Rangamani2Center for Quantum Mathematics and Physics (QMAP), Department of Physics, University of CaliforniaCenter for Quantum Mathematics and Physics (QMAP), Department of Physics, University of CaliforniaCenter for Quantum Mathematics and Physics (QMAP), Department of Physics, University of CaliforniaAbstract We investigate a class of supersymmetric quantum mechanical theories (with two supercharges) having tensor-valued degrees of freedom which are dominated by melon diagrams in the large N limit. One motivation was to examine the interplay between supersymmetry and melonic dominance and potential implications for building toy models of holography. We find a definite tension between supersymmetry (with dynamical bosons) and melonic dominance in this class of systems. More specifically, our theories attain a low energy non-supersymmetric conformal fixed point. The origin of supersymmetry breaking lies in the need to regularize bosonic and fermionic degrees of freedom independently. We investigate various aspects of the low energy spectrum and also comment on related examples with different numbers of supercharges. Along the way we also derive some technical results for SL(2, ℝ) wavefunctions for fermionic excitations.http://link.springer.com/article/10.1007/JHEP10(2018)1571/N ExpansionAdS-CFT CorrespondenceField Theories in Lower Dimensions
collection DOAJ
language English
format Article
sources DOAJ
author Chi-Ming Chang
Sean Colin-Ellerin
Mukund Rangamani
spellingShingle Chi-Ming Chang
Sean Colin-Ellerin
Mukund Rangamani
On melonic supertensor models
Journal of High Energy Physics
1/N Expansion
AdS-CFT Correspondence
Field Theories in Lower Dimensions
author_facet Chi-Ming Chang
Sean Colin-Ellerin
Mukund Rangamani
author_sort Chi-Ming Chang
title On melonic supertensor models
title_short On melonic supertensor models
title_full On melonic supertensor models
title_fullStr On melonic supertensor models
title_full_unstemmed On melonic supertensor models
title_sort on melonic supertensor models
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2018-10-01
description Abstract We investigate a class of supersymmetric quantum mechanical theories (with two supercharges) having tensor-valued degrees of freedom which are dominated by melon diagrams in the large N limit. One motivation was to examine the interplay between supersymmetry and melonic dominance and potential implications for building toy models of holography. We find a definite tension between supersymmetry (with dynamical bosons) and melonic dominance in this class of systems. More specifically, our theories attain a low energy non-supersymmetric conformal fixed point. The origin of supersymmetry breaking lies in the need to regularize bosonic and fermionic degrees of freedom independently. We investigate various aspects of the low energy spectrum and also comment on related examples with different numbers of supercharges. Along the way we also derive some technical results for SL(2, ℝ) wavefunctions for fermionic excitations.
topic 1/N Expansion
AdS-CFT Correspondence
Field Theories in Lower Dimensions
url http://link.springer.com/article/10.1007/JHEP10(2018)157
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AT seancolinellerin onmelonicsupertensormodels
AT mukundrangamani onmelonicsupertensormodels
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