Carroll-limit world-volume actions, Hamilton's equations, and constraint structures are derived for M2 and tachyonic M3 branes in 11D supergravity, with an equivalence proof between Polyakov-type and Nambu-Goto formulations.
Orbiting Membranes in M-theory on AdS_7 x S^4 Background
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abstract
We study classical solutions describing rotating and boosted membranes on AdS_7 x S^4 background in M-theory. We find the dependence of the energy on the spin and R-charge of these solutions. In the flat space limit we get E ~ S^{2/3}, while for AdS at leading order E-S grows as S^{1/3}. The membranes on AdS_4 x S^7 background have briefly been studied as well.
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Carroll membranes
Carroll-limit world-volume actions, Hamilton's equations, and constraint structures are derived for M2 and tachyonic M3 branes in 11D supergravity, with an equivalence proof between Polyakov-type and Nambu-Goto formulations.