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...
Main Authors: | , , |
---|---|
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 |
id |
doaj-e3862a6ee40a4872afd2455ed26974ef |
---|---|
record_format |
Article |
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 |
work_keys_str_mv |
AT chimingchang onmelonicsupertensormodels AT seancolinellerin onmelonicsupertensormodels AT mukundrangamani onmelonicsupertensormodels |
_version_ |
1724962259664371712 |