Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

High Energy Physics - Theory

arXiv:hep-th/0404051 (hep-th)
[Submitted on 6 Apr 2004 (v1), last revised 25 May 2004 (this version, v2)]

Title:Noncentral extension of the $AdS_{5} \times S^{5}$ superalgebra: supermultiplet of brane charges

Authors:Sangmin Lee, Jeong-Hyuck Park
View PDF
Abstract: We propose an extension of the su(2,2|4) superalgebra to incorporate the $F1/D1$ string charges in type IIB string theory on the $AdS_{5} \times S^{5}$ background, or the electro-magnetic charges in the dual super Yang-Mills theory. With the charges introduced, the superalgebra inevitably undergoes a noncentral extension, as noted recently in [1]. After developing a group theoretical method of obtaining the noncentral extension, we show that the charges form a certain nonunitary representation of the original unextended superalgebra, subject to some constraints. We solve the constraints completely and show that, apart from the su(2,2|4) generators, there exist 899 complex brane charges in the extended algebra. Explicitly we present all the super-commutators among them.
Comments: 1+29 pages, no figure; comments and refs added, to appear in JHEP
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
Report number: IHES/P/04/15, STR-04-007, CERN-PH-TH/2004-064
Cite as: arXiv:hep-th/0404051
  (or arXiv:hep-th/0404051v2 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0404051
Journal reference: JHEP 0406:038,2004
Related DOI: https://doi.org/10.1088/1126-6708/2004/06/038

Submission history

From: Jeong-Hyuck Park [view email]
[v1] Tue, 6 Apr 2004 16:12:12 UTC (27 KB)
[v2] Tue, 25 May 2004 09:28:43 UTC (28 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
hep-th
< prev   |   next >
new | recent | 2004-04

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)