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AdS-Carroll Branes
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Coset methods are used to determine the action of a co-dimension one brane (domain wall) embedded in (d+1)-dimensional AdS space in the Carroll limit in which the speed of light goes to zero. The action is invariant under the non-linearly realized symmetries of the AdS-Carroll spacetime. The Nambu-Goldstone field exhibits a static spatial distribution for the brane with a time varying momentum density related to the brane's spatial shape as well as the AdS-C geometry. The AdS-C vector field dual theory is obtained.
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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.
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