TL;DR
This paper explores a simplified 3d BL theory for multiple M2 branes using a degenerate U(N) Nambu bracket, revealing a structure that transitions to D2 branes in 10 dimensions, with implications for supersymmetry and gauge fields.
Contribution
It introduces a simplified 3d BL theory for arbitrary N M2 branes based on a degenerate U(N) Nambu bracket, extending the algebraic framework.
Findings
The theory accommodates any number N of M2 branes in 11 dimensions.
The algebraic structure involves a non-antisymmetric f^{abcd} tensor.
Transition to D2 branes involves vacuum expectation values of gauge singlets.
Abstract
A simplified version of 3d BL theory is considered, which allows any number N of M2 branes in d=11. The underlying 3-algebra structure is provided by degenerate U(N) Nambu bracket [X,Y,Z] = tr(X) [Y,Z] + tr(Y) [Z,X] + tr(Z) [X,Y], the corresponding f^{abcd} is not totally antisymmetric and extended supersymmetry of the action remains to be checked. All the fields, including auxiliary non-propagating gauge fields, are in adjoint representation of SU(N) and the only remnant of 3-algebra structure is an octuple of gauge singlets, acquiring vacuum expectation value in transition to D2 branes in d=10.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.