Skip to main content

High Energy Physics - Theory

arXiv:1706.05914 (hep-th)
[Submitted on 19 Jun 2017 (v1), last revised 27 Jul 2017 (this version, v2)]

Title:Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation

Authors:Junggi Yoon
View PDF HTML (experimental)
Abstract:We discuss the bi-local collective theory for the $\mathcal{N}=1,2$ supersymmetric Sachdev-Ye-Kitaev (SUSY SYK) models. We construct a bi-local superspace, and formulate the bi-local collective superfield theory of the one-dimensional SUSY vector model. The bi-local collective theory provides systematic analysis of the SUSY SYK models. We find that this bi-local collective theory naturally leads to supermatrix formulation in the bi-local superspace. This supermatrix formulation drastically simplifies the analysis of the SUSY SYK models. We also study $\mathcal{N}=1$ bi-local superconformal generators in the supermatrix formulation, and find the eigenvectors of teh superconformal Casimir. We diagonalize the quadratic action in large $N$ expansion.
Comments: 48 page; v2:typo corrected, reference added, notation for the eigenfunctions changed
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el)
Cite as: arXiv:1706.05914 [hep-th]
  (or arXiv:1706.05914v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1706.05914
Related DOI: https://doi.org/10.1007/JHEP10%282017%29172

Submission history

From: Junggi Yoon [view email]
[v1] Mon, 19 Jun 2017 13:06:26 UTC (48 KB)
[v2] Thu, 27 Jul 2017 12:35:19 UTC (48 KB)
Full-text links:

Access Paper:

view license

Current browse context:

hep-th
< prev   |   next >
new | recent | 2017-06
Change to browse by:
cond-mat
cond-mat.str-el

References & Citations

Bookmark

BibSonomy Reddit

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?)
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?)