A 3d disordered superconformal fixed point
Abstract We initiate the study of a three dimensional disordered supersymmetric field theory. Specifically, we consider a N $$ \mathcal{N} $$ = 2 large N Wess-Zumino like model with cubic superpotential involving couplings drawn from a Gaussian random ensemble. Taking inspiration from analyses of lo...
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2021
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oai:doaj.org-article:f1fd389200c54327892c7d9082cdeb7f2021-12-05T12:25:19ZA 3d disordered superconformal fixed point10.1007/JHEP11(2021)2111029-8479https://doaj.org/article/f1fd389200c54327892c7d9082cdeb7f2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)211https://doaj.org/toc/1029-8479Abstract We initiate the study of a three dimensional disordered supersymmetric field theory. Specifically, we consider a N $$ \mathcal{N} $$ = 2 large N Wess-Zumino like model with cubic superpotential involving couplings drawn from a Gaussian random ensemble. Taking inspiration from analyses of lower dimensional SYK like models we demonstrate that the theory flows to a strongly coupled superconformal fixed point in the infra-red. In particular, we obtain leading large N spectral data and operator product coefficients at the critical point. Moreover, the analytic control accorded by the model allows us to compare our results against those derived in the conformal bootstrap program and demonstrate consistency with general expectations.Chi-Ming ChangSean Colin-EllerinCheng PengMukund RangamaniSpringerOpenarticle1/N ExpansionConformal Field TheoryField Theories in Lower DimensionsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-58 (2021) |
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1/N Expansion Conformal Field Theory Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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1/N Expansion Conformal Field Theory Field Theories in Lower Dimensions Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Chi-Ming Chang Sean Colin-Ellerin Cheng Peng Mukund Rangamani A 3d disordered superconformal fixed point |
description |
Abstract We initiate the study of a three dimensional disordered supersymmetric field theory. Specifically, we consider a N $$ \mathcal{N} $$ = 2 large N Wess-Zumino like model with cubic superpotential involving couplings drawn from a Gaussian random ensemble. Taking inspiration from analyses of lower dimensional SYK like models we demonstrate that the theory flows to a strongly coupled superconformal fixed point in the infra-red. In particular, we obtain leading large N spectral data and operator product coefficients at the critical point. Moreover, the analytic control accorded by the model allows us to compare our results against those derived in the conformal bootstrap program and demonstrate consistency with general expectations. |
format |
article |
author |
Chi-Ming Chang Sean Colin-Ellerin Cheng Peng Mukund Rangamani |
author_facet |
Chi-Ming Chang Sean Colin-Ellerin Cheng Peng Mukund Rangamani |
author_sort |
Chi-Ming Chang |
title |
A 3d disordered superconformal fixed point |
title_short |
A 3d disordered superconformal fixed point |
title_full |
A 3d disordered superconformal fixed point |
title_fullStr |
A 3d disordered superconformal fixed point |
title_full_unstemmed |
A 3d disordered superconformal fixed point |
title_sort |
3d disordered superconformal fixed point |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/f1fd389200c54327892c7d9082cdeb7f |
work_keys_str_mv |
AT chimingchang a3ddisorderedsuperconformalfixedpoint AT seancolinellerin a3ddisorderedsuperconformalfixedpoint AT chengpeng a3ddisorderedsuperconformalfixedpoint AT mukundrangamani a3ddisorderedsuperconformalfixedpoint AT chimingchang 3ddisorderedsuperconformalfixedpoint AT seancolinellerin 3ddisorderedsuperconformalfixedpoint AT chengpeng 3ddisorderedsuperconformalfixedpoint AT mukundrangamani 3ddisorderedsuperconformalfixedpoint |
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1718371993548488704 |