Rotating Central Charge Membranes

In this work we obtain dynamical solutions of the bosonic sector of the supermembrane theory with central charges formulated on \(M_9\times T^2\), denoted by MIM2. The theory with this condition corresponds to a supermembrane with a \(C_-\) flux. This sector of the M2-brane is very interesting since...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2021-04
Main Authors: Alvarez, Pedro D, Maria Pilar Garcia del Moral, Peña, Joselen M, Prado, Reginaldo
Format: Article
Language:English
Subjects:
Equations of motion
Membranes
Rotation
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work we obtain dynamical solutions of the bosonic sector of the supermembrane theory with central charges formulated on \(M_9\times T^2\), denoted by MIM2. The theory with this condition corresponds to a supermembrane with a \(C_-\) flux. This sector of the M2-brane is very interesting since classically is stable as it does not contain string-like spikes with zero energy and at quantum level has a purely discrete supersymmetric spectrum. We find rotating solutions of the MIM2 equations of motion fulfilling all of the constraints. By showing that the MIM2 mass operator, contains the mass operator discussed in [Brugues, Rojo, Russo, Nucl. Phys. B 710, 2005], then we show that the rotating solutions previously found in the aforementioned work that also satisfy the topological central charge condition, are solutions of the MIM2. Finally, we find new distinctive rotating membrane solutions that include the presence of a new non-vanishing dynamical scalar field defined on its worldvolume.
ISSN:2331-8422