On melonic supertensor models

A bstract 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 poten...

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Bibliographic Details
Published in:The journal of high energy physics 2018-10, Vol.2018 (10), p.1-54, Article 157
Main Authors: Chang, Chi-Ming, Colin-Ellerin, Sean, Rangamani, Mukund
Format: Article
Language:English
Subjects:
1/N Expansion
AdS-CFT Correspondence
Bosons
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Degrees of freedom
Elementary Particles
Energy spectra
Field Theories in Lower Dimensions
High energy physics
Holography
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetry
Tensors
Wave functions
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2018)157