M2-brane ( $T_{2} = \frac{1}{( 2 π ) ^{2} ℓ _{p}^{3}}$ )

add to a position-independent constant. This proves the cancellation without a weak-field approximation. An oppositely charged probe has no such cancellation.

Supermembranes

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The supersymmetric M2-brane worldvolume theory includes embedding bosons and fermions and has kappa symmetry. In eleven dimensions its fermionic embedding coordinate is a thirty-two-component Majorana spinor.

Supermembrane action ( $S = - T_{2} \int - det h + q T_{2} \int Z^{*} A_{3}$ )

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The first term uses the induced worldvolume metric from the supervielbein; the second is the Wess-Zumino brane coupling to the super-three-form. Its fermionic dependence is retained before bosonic truncation. The relative charge magnitude equals the brane tension, while

q = \pm 1

sets the orientation and matching kappa symmetry projector sign. In an on-shell eleven-dimensional supergravity superspace, this action has kappa symmetry.

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In string theory and related theories of high energy physics, an **M2-brane** is a type of membrane that is a fundamental object in the context of M-theory, an 11-dimensional extension of string theory. Specifically, M2-branes are two-dimensional surfaces (or "membranes") that can exist in an 11-dimensional spacetime.

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M2-brane ( $T_{2} = \frac{1}{( 2 π ) ^{2} ℓ _{p}^{3}}$ )

M2-brane supergravity solution ( $d s^{2} = H^{- 2/3} d s^{2} (R^{1, 2}) + H^{1/3} d y^{2}$ )

M2-brane near-horizon geometry ( $AdS_{4} (R /2) \times S^{7} (R)$ )

M2-brane probe no-force identity ( $L_{static} = - T_{2}$ )

Supermembranes

Supermembrane action ( $S = - T_{2} \int - det h + q T_{2} \int Z^{*} A_{3}$ )

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