Supersymmetric V-systems

Antoniou, G. and Feigin, M. (2019) Supersymmetric V-systems. Journal of High Energy Physics, 2019, 115. (doi: 10.1007/JHEP02(2019)115)

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Abstract

We construct N = 4 D(2; 1; α) superconformal quantum mechanical system for any configuration of vectors forming a V-system. In the case of a Coxeter root system the bosonic potential of the supersymmetric Hamiltonian is the corresponding generalised Calogero-Moser potential. We also construct supersymmetric generalised trigonometric Calogero-Moser-Sutherland Hamiltonians for some root systems including BCN.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Antoniou, Mr Georgios and Feigin, Dr Misha
Authors: Antoniou, G., and Feigin, M.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of High Energy Physics
Publisher:Springer
ISSN:1126-6708
ISSN (Online):1029-8479
Copyright Holders:Copyright © 2019 The Authors
First Published:First published in Journal of High Energy Physics 2019:115
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
678901EPSRC DTG 2014Mary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/M506539/1R&I - RESEARCH STRATEGY & INNOVATION
701101EPSRC 2015 DTPMary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/M508056/1R&I - RESEARCH STRATEGY & INNOVATION
738201EPSRC DTP 16/17 and 17/18Mary Beth KneafseyEngineering and Physical Sciences Research Council (EPSRC)EP/N509668/1R&I - RESEARCH STRATEGY & INNOVATION