English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  An OSp extension of Canonical Tensor Model

Narain, G., & Sasakura, N. (2015). An OSp extension of Canonical Tensor Model. Progress of Theoretical & Experimental Physics, 2015(123): A05. doi: 10.1093/ptep/ptv169.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0D2F-F Version Permalink: http://hdl.handle.net/21.11116/0000-0002-997E-5
Genre: Journal Article

Files

show Files
hide Files
:
1509.01432.pdf (Preprint), 779KB
Name:
1509.01432.pdf
Description:
File downloaded from arXiv at 2015-11-25 08:29
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
Prog. Theor. Exp. Phys.-2015-Narain-.pdf (Publisher version), 2MB
Name:
Prog. Theor. Exp. Phys.-2015-Narain-.pdf
Description:
Open access
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Narain, Gaurav1, Author
Sasakura, Naoki, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

Content

show
hide
Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: Tensor models are generalizations of matrix models, and are studied as discrete models of quantum gravity for arbitrary dimensions. Among them, the canonical tensor model (CTM for short) is a rank-three tensor model formulated as a totally constrained system with a number of first-class constraints, which have a similar algebraic structure as the constraints of the ADM formalism of general relativity. In this paper, we formulate a super-extension of CTM as an attempt to incorporate fermionic degrees of freedom. The kinematical symmetry group is extended from $O(N)$ to $OSp(N,\tilde N)$, and the constraints are constructed so that they form a first-class constraint super-Poisson algebra. This is a straightforward super-extension, and the constraints and their algebraic structure are formally unchanged from the purely bosonic case, except for the additional signs associated to the order of the fermionic indices and dynamical variables. However, this extension of CTM leads to the existence of negative norm states in the quantized case, and requires some future improvements as quantum gravity with fermions. On the other hand, since this is a straightforward super-extension, various results obtained so far for the purely bosonic case are expected to have parallels also in the super-extended case, such as the exact physical wave functions and the connection to the dual statistical systems, i.e. randomly connected tensor networks.

Details

show
hide
Language(s):
 Dates: 2015-09-042015
 Publication Status: Published in print
 Pages: 27pages, 27 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1509.01432
URI: http://arxiv.org/abs/1509.01432
DOI: 10.1093/ptep/ptv169
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Progress of Theoretical & Experimental Physics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 2015 (123) Sequence Number: A05 Start / End Page: - Identifier: -