Non-perturbative states in type II superstring theory from classical spinning membranes

Abstract

We find a new family of exact solutions in membrane theory, representing toroidal membranes spinning in several planes. They have energy square proportional to the sum of the different angular momenta, generalizing Regge-type string solutions to membrane theory. By compactifying the eleven dimensional theory on a circle and on a torus, we identify a family of new non-perturbative states of type IIA and type IIB superstring theory (which contains the perturbative spinning string solutions of type II string theory as a particular case). The solution represents a spinning bound state of D branes and fundamental strings. Then we find similar solutions for membranes on $Ad{S}_7\times S^4$ and $Ad{S}_4\times S^7$. We also consider the analogous solutions in SU(N) matrix theory, and compute the energy. They can be interpreted as rotating open strings with D0 branes attached to their endpoints.

22 pages, latex. References added

References in corpus (3)

• M2-brane Solutions in AdS_7xS^4
• More Membrane Matrix Model Solutions - and Minimal Surfaces in S^7
• Spinning membranes on $Ad{S}_p\times S^q$

Cited by in corpus (14)

• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Magnon-Like Dispersion Relation from M-Theory
• Membrane solutions in M-theory
• Euler Top Dynamics of Nambu-Goto P-Branes
• Carroll membranes
• Nonrelativistic expansion of M2 branes and M theory backgrounds
• Exact rotating membrane solutions on a G_2 manifold and their semiclassical limits
• Stringy Membranes in AdS/CFT
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• The neural network approach to parton distribution functions
• Tensionless supersymmetric M2 branes in $Ad{S}_4\times S^7$ and Giant Diabolo
• Spinning solutions for the bosonic M2-brane with $C_{\pm }$ fluxes
• Rotating strings and D2-branes in type IIA reduction of M-theory on G2 manifold and their semiclassical limits
• Strings and D-branes in a supersymmetric magnetic flux background