Brane
= Brane
{title2=$p\text{-brane}$}
A brane is an extended object with $p$ spatial dimensions. Its history is a $(p+1)$-dimensional <worldvolume> embedded in target <spacetime>. A point particle has $p=0$, a string has $p=1$, and a membrane has $p=2$. Geometric brane actions depend on the <induced worldvolume metric>; <D-branes> also carry open-string endpoint and gauge-field data.