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Orthogonal bases of invariants in tensor models

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Title
Orthogonal bases of invariants in tensor models
Author(s)
Pablo Diaz; Soo-Jong Rey
Publication Date
2018-02
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.2018, no.2, pp.089 -
Publisher
SPRINGER
Abstract
Representation theory provides an efficient framework to count and classify invariants in tensor models of (gauge) symmetry Gd = U(N1) ⊗ · · · ⊗ U(Nd). We show that there are two natural ways of counting invariants, one for arbitrary Gd and another valid for large rank of Gd. We construct basis of invariant operators based on the counting, and compute correlators of their elements. The basis associated with finite rank of Gd diagonalizes two-point function. It is analogous to the restricted Schur basis used in matrix models. We comment on future directions for investigation. © 2018, The Author(s)
URI
http://pr.ibs.re.kr/handle/8788114/4684
ISSN
1029-8479
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
Files in This Item:
10.1007_JHEP02(2018)089.pdfDownload

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