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

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

2003-01-17

arxiv.org/abs/hep-th/0301120v2

JHEP 0302 (2003) 040

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX, references added, section 5 updated

Scientific paper

10.1088/1126-6708/2003/02/040

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.

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