DI-branes at an angle.
Consider two infinitely long D1-branes stretched on the \(\left(x^{2},
x^{3}\right)\) plane. The first brane is defined by \(x^{3}=0\), and the second
brane is at an angle \(\gamma\) measured counterclockwise from the \(x^{2}\) axis.
Let the open string coordinates be \(X^{2}(\tau, \sigma)\) and \(X^{3}(\tau,
\sigma)\), and consider only open strings which begin on the first brane and
end on the second brane. Determine the boundary conditions satisfied by
\(X^{2}\) and \(X^{3}\) at \(\sigma=0\) and \(\sigma=\pi\).
