BROWSE

Related Scientist

Researcher

Pablo Diaz Benito
순수물리이론 연구단
more info

Tensor and matrix models: a one-night stand or a lifetime romance?

Cited 0 time in webofscience Cited 0 time in scopus
20 Viewed 2 Downloaded
Title
Tensor and matrix models: a one-night stand or a lifetime romance?
Author(s)
Pablo Diaz
Publication Date
2018-06
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.2018, no.6, pp.140 -
Publisher
SPRINGER
Abstract
The spectra of energy eigenstates of free tensor and matrix models are organized by Kronecker coefficients and Littlewood-Richardson numbers, respectively. Exploiting recent results in combinatorics for Kronecker coefficients, we derive a formula that relates Kronecker coefficients with a hook shape with Littlewood-Richardson numbers. This formula has a natural translation into physics: the eigenstates of the hook sector of tensor models are in one-to-one correspondence with fluctuations of 1/2-BPS states in multi-matrix models. We then conjecture the duality between both sectors. Finally, we study the Hagedorn behaviour of tensor models with finite rank of the symmetry group and, using similar arguments, suggest that the second (high energy) phase could be entirely described by multi-matrix models. © 2018, The Author(s)
URI
https://pr.ibs.re.kr/handle/8788114/4974
ISSN
1029-8479
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
Files in This Item:
10.1007_JHEP06(2018)140.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse