On melonic supertensor models

Chang, Chi-Ming; Colin-Ellerin, Sean; Rangamani, Mukund

doi:10.1007/jhep10(2018)157

Title: On melonic supertensor models

Journal Article · 24 October 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep10(2018)157 · OSTI ID:1611305

^[1]; Colin-Ellerin, Sean ^[2]; Rangamani, Mukund ^[2]

Univ. of California, Davis, CA (United States); DOE/OSTI
Univ. of California, Davis, CA (United States)

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, $$\mathbb{R}$$) wavefunctions for fermionic excitations.

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Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0009999

OSTI ID:: 1611305

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Melonic dominance in subchromatic sextic tensor models Prakash, Shiroman; Sinha, Ritam Physical Review D, Vol. 101, Issue 12 https://doi.org/10.1103/physrevd.101.126001	journal	June 2020
Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions Benedetti, Dario; Delporte, Nicolas Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/jhep01(2019)218	journal	January 2019
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Supersymmetric tensor model at large N and small ε Popov, Fedor K. Physical Review D, Vol. 101, Issue 2 https://doi.org/10.1103/physrevd.101.026020	journal	January 2020

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