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More on the new large D limit of matrix models

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Title
More on the new large D limit of matrix models
Author(s)
Tatsuo Azeyanagi; Frank Ferrari; Paolo Gregori; Lætitia Leduc; Guillaume Valette
Publication Date
2018-06
Journal
ANNALS OF PHYSICS, v.393, no., pp.308 - 326
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Abstract
In this paper, we extend the recent analysis of the new large D limit of matrix models to the cases where the action contains arbitrary multi-trace interaction terms as well as to arbitrary correlation functions. We discuss both the cases of complex and Hermitian matrices, with U(N)(2) x O(D) and U(N) x O(D) symmetries respectively. In the latter case, the new large D limit is consistent for planar diagrams; at higher genera, it crucially requires the tracelessness condition. For similar reasons, the large N limit of tensor models with reduced symmetries is typically inconsistent already at leading order without the tracelessness condition. We also further discuss some interesting properties of purely bosonic models pointed out recently and explain that the standard argument predicting a non-trivial IR behavior in fermionic models a la SYK does not work for bosonic models. Finally, we explain that the new large D scaling is consistent with linearly realized supersymmetry. (C) 2018 Elsevier Inc. All rights reserved
URI
https://pr.ibs.re.kr/handle/8788114/6193
ISSN
0003-4916
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
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