English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Dual Pair Correspondence in Physics: Oscillator Realizations and Representations

Basile, T., Joung, E., Mkrtchyan, K., & Mojaza, M. (2020). Dual Pair Correspondence in Physics: Oscillator Realizations and Representations. Journal of High Energy Physics, 2020(9): 20. doi:10.1007/JHEP09(2020)020.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/21.11116/0000-0006-B497-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0007-00C5-A
Genre: Journal Article

Files

show Files
hide Files
:
2006.07102.pdf (Preprint), 925KB
Name:
2006.07102.pdf
Description:
File downloaded from arXiv at 2020-07-14 09:21
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
Basile2020_Article_DualPairCorrespondenceInPhysic.pdf (Publisher version), 2MB
Name:
Basile2020_Article_DualPairCorrespondenceInPhysic.pdf
Description:
Open Access
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Basile, Thomas, Author
Joung, Euihun, Author
Mkrtchyan, Karapet, Author
Mojaza, Matin1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

Content

show
hide
Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We study general aspects of the reductive dual pair correspondence, also known as Howe duality. We make an explicit and systematic treatment, where we first derive the oscillator realizations of all irreducible dual pairs: $(GL(M,\mathbb R), GL(N,\mathbb R))$, $(GL(M,\mathbb C), GL(N,\mathbb C))$, $(U^*(2M), U^*(2N))$, $(U(M_+,M_-), U(N_+,N_-))$, $(O(N_+,N_-),Sp(2M,\mathbb R))$, $(O(N,\mathbb C), Sp(2M,\mathbb C))$ and $(O^*(2N), Sp(M_+,M_-))$. Then, we decompose the Fock space into irreducible representations of each group in the dual pairs for the cases where one member of the pair is compact as well as the first non-trivial cases of where it is non-compact. We discuss the relevance of these representations in several physical applications throughout this analysis. In particular, we discuss peculiarities of their branching properties. Finally, closed-form expressions relating all Casimir operators of two groups in a pair are established.

Details

show
hide
Language(s):
 Dates: 2020-06-122020
 Publication Status: Published in print
 Pages: 100 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 2006.07102
URI: http://arxiv.org/abs/2006.07102
DOI: 10.1007/JHEP09(2020)020
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Journal of High Energy Physics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 2020 (9) Sequence Number: 20 Start / End Page: - Identifier: -