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Journal of Mathematical Physics : Super Schrödinger algebra in AdS/CFT

By Makoto Sakaguchi and Kentaroh Yoshida

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Book Id: WPLBN0002169544
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 15 October 2008

Title: Journal of Mathematical Physics : Super Schrödinger algebra in AdS/CFT  
Author: Makoto Sakaguchi and Kentaroh Yoshida
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Journal of Mathematical Physics Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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And Kentaroh Yoshida, M. S. (n.d.). Journal of Mathematical Physics : Super Schrödinger algebra in AdS/CFT. Retrieved from http://worldlibrary.in/


Description
Description: We discuss (extended) super-Schrödinger algebras obtained as subalgebras of the superconformal algebra psu(2,2∣4). The Schrödinger algebra with two spatial dimensions can be embedded into so(4,2). In the superconformal case the embedded algebra may be enhanced to the so-called super-Schrödinger algebra. In fact, we find an extended super-Schrödinger subalgebra of psu(2,2∣4). It contains 24 supercharges (i.e., 3/4 of the original supersymmetries) and the generators of so(6), as well as the generators of the original Schrödinger algebra. In particular, the 24 supercharges come from 16 rigid supersymmetries and half of 16 superconformal ones. Moreover, this superalgebra contains a smaller super-Schrödinger subalgebra, which is a supersymmetric extension of the original Schrödinger algebra and so(6) by eight supercharges (half of 16 rigid supersymmetries). It is still a subalgebra even if there are no so(6) generators. We also discuss super-Schrödinger subalgebras of the superconformal algebras, osp(8∣4) and osp(8∗∣4), and find super Schrödinger subalgebras in the same way.

 

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