Instantons of M(atrix) Theory in PP-Wave Background

Abstract

M(atrix) theory in PP-wave background possesses a discrete set of classical vacua, all of which preserves 16 supersymmetry and interpretable as collection of giant gravitons. We find Euclidean instanton solutions that interpolate between them, and analyze their properties. Supersymmetry prevents direct mixing between different vacua but still allows effect of instanton to show up in higher order effective interactions, such as analog of v^4 interaction of flat space effective theory. An explicit construction of zero modes is performed, and Goldstone zero modes, bosonic and fermionic, are identified. We further generalize this to massive M(atrix) theory that includes fundamental hypermultiplets, corresponding to insertion of longitudinal fivebranes in the background. After a brief comparison to their counterpart in AdS\times S, we close with a summary.

arXiv comment25 pages, LaTeX, references added, section 5 updated

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• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Dynamical aspects of the plane-wave matrix model at finite temperature
• The Supergravity Dual of the BMN Matrix Model
• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• Emergent bubbling geometries in the plane wave matrix model
• Instantons, supersymmetric vacua, and emergent geometries
• Yang-Mills Instantons and Dyons on Group Manifolds
• Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model
• Matrix Model Thermodynamics
• General Lin-Maldacena solutions and PWMM Instantons from supergravity
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
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• Spherical transverse M5-branes from the plane wave matrix model
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• New BPS Configurations of BMN Matrix Theory
• Giant graviton interactions and M2-branes ending on multiple M5-branes
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry