Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
Andrew M. Low
TL;DR
This paper derives the superalgebra for the BLG theory with Nambu-Poisson structure, linking it to M5-branes in flux backgrounds and showing how it reduces to non-commutative D4-brane superalgebra.
Contribution
It provides the explicit superalgebra for the Nambu-Poisson BLG theory and connects it to M5-branes and non-commutative D-branes through reduction.
Findings
Derived superalgebra with central charges for M5-branes in flux backgrounds.
Showed reduction to non-commutative D4-brane superalgebra.
Interpreted D4-brane charges via spacetime intersections.
Abstract
Recently it was proposed that the Bagger-Lambert-Gustavsson theory with Nambu-Poisson structure describes an M5-brane in a three-form flux background. In this paper we investigate the superalgebra associated with this theory. We derive the central charges corresponding to M5-brane solitons in 3-form backgrounds. We also show that double dimensional reduction of the superalgebra gives rise to the Poisson bracket terms of a non-commutative D4-brane superalgebra. We provide interpretations of the D4-brane charges in terms of spacetime intersections.
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