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.
Magnon-Like Dispersion Relation from M-Theory
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abstract
We investigate classical rotating membranes in two different backgrounds. First, we obtain membrane solution in $AdS_4\times S^7$ background, analogous to the solution obtained by Hofman and Maldacena in the case of string theory. We find a magnon type dispersion relation similar to that of Hofman and Maldacena and to the one found by Dorey for the two spin case. In the appendix of the paper, we consider membrane solutions in $AdS_7\times S^4$, which give new relations between the conserved charges.
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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.