Abstract
We study the leading (LO) and the next-to-leading order (NLO) stability of multipole perturbations for a static dielectric M2-brane with spherical topology in the 11-dimensional maximally supersymmetric plane-wave background. We observe a cascade of instabilities that originates from the dipole (j=1) and quadrupole (j=2) sectors (the only unstable sectors of the LO) and propagates towards all the multipoles of the NLO.
Highlights
According to our current understanding of the black hole (BH) information paradox, the chaotic dynamics of the microscopic degrees of freedom that are present on BH horizons is an indispensable aspect of its resolution [1]
Motivated by the idea that the dynamics of the microscopic degrees of freedom on the horizon of static spherically symmetric black holes can be described by the BMN matrix model, we study the chaotic properties of this theory’s classical continuum limit, that is, super M2-brane theory in the background (1)–(2)
In the present paper we study the NLO perturbative dynamics of classical solutions of spherical topology in the SOð3Þ sector of the continuum limit of the BMN matrix model
Summary
According to our current understanding of the black hole (BH) information paradox, the chaotic dynamics of the microscopic degrees of freedom that are present on BH horizons is an indispensable aspect of its resolution [1]. One of the most remarkable properties of plane-wave spacetimes is that they can be obtained from any given metric via the Penrose limiting procedure [10], which consists in blowing up the spacetime around null geodesics (effectively “zooming in” to them). As it turns out, plane waves preserve the supersymmetries of the original background, so that the maximally supersymmetric spacetimes AdS4=7 × S7=4 of 11-dimensional supergravity give rise to the maximally supersymmetric plane-wave solution [11]:. The presence of a nonzero 4-form field strength Fμνρσ in the plane-wave background (2) induces repulsive flux terms in the membrane effective potential. The radial stability analysis of the solution (7) around the extremal points (11) was carried out in [6] where it was shown that u0 and u1=3 are radially stable, whereas u1=6 is a radially unstable point
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
