All Higher Genus BPS Membranes in the Plane Wave Background

Abstract

We consider supermembranes in the maximally supersymmetric plane wave geometry of the eleven dimensions and construct complete solutions of the continuum version of the 1/4 BPS equations. The supermembranes may have an arbitrary number of holes and arbitrary cross sectional shapes. In the matrix regularized version, we solve the matrix equations for several simple cases including fuzzy torus. In addition, we show that these solutions are trivially generalized to 1/8 and 1/16 BPS configuations.

14 pages, 5 figures, references, comments added

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Cited by in corpus (20)

• Comments on 1/16 BPS Quantum States and Classical Configurations
• Fuzzy Ring from M2-brane Giant Torus
• Fuzzy Riemann Surfaces
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
• 1/2 BPS Geometries of M2 Giant Gravitons
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• BPS Electromagnetic Waves on Giant Gravitons
• M2-brane Dynamics in the Classical Limit of the BMN Matrix Model
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model
• Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model
• Noncommutative Riemann Surfaces
• New BPS Configurations of BMN Matrix Theory
• Point-Like Graviton Scattering in Plane-Wave Matrix Model
• Smearing Effect in Plane-Wave Matrix Model
• More on supersymmetric D-branes in type IIB plane wave background
• Quasi-Static BMN Solutions
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model
• Turbulent aspects of BMN membrane dynamics