On melonic supertensor models

DOI10.1007/JHEP10(2018)157zbMATH Open1402.81240arXiv1806.09903MaRDI QIDQ1627383

Author name not available (Why is that?)

Publication date: 22 November 2018

Published in: (Search for Journal in Brave)

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 $SL(2,mathbbR)$ wavefunctions for fermionic excitations.

Full work available at URL: https://arxiv.org/abs/1806.09903

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: On melonic supertensor models

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1627383)