Non-linear theory for multiple M2 branes
نویسندگان
چکیده
We present a manifestly SO(8) invariant non-linear Lagrangian for describing the non-abelian dynamics of the bosonic degrees of freedom of N coinciding M2 branes in flat spacetime. The theory exhibits a gauge symmetry structure of the BF type (semidirect product of SU(N) and translations) and at low energies it reduces exactly to the bosonic part of the Lorentzian BaggerLambert Lagrangian for group SU(N). There are eight scalar fields satisfying a free-scalar equation. When one of them takes a large expectation value, the non-linear Lagrangian gets simplified and the theory becomes equivalent to the Myers non-abelian Lagrangian describing the dynamics of N coinciding D2 branes. As an application, we show that the BPS fuzzy funnel solution describing M2 branes ending into a single M5 brane is an exact solution of the non-linear system.
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