teoría de cordes: acció triple-hexagon

acció triple-hexagon:


E F G F E
F G F G F
F G F G F
E F G F E


G F E F G
F E F E F
F E F E F
G F E F G


(1/2)( S(u,v) )^{2} = ...
... ∬ [ GGGGGGEEEE+(-1)FFFFFFFFFF ] d[u]d[v]+∬ [ EEEEEEGGGG+(-1)FFFFFFFFFF ] d[u]d[v]


x(u,v) = f(h)·( e^{iu}+e^{iv} )
d_{u}[x(u,v)] = f(h)·ie^{iu}
d_{v}[x(u,v)] = f(h)·ie^{iv}


(1/2)( S(u,v) )^{2} = ...
... ( f(h) )^{20}·( ...
... ∬ [ e^{12iu+8iv}+(-1)·e^{10i(u+v)} ] d[u]d[v] + ...
... ∬ [ e^{12iv+8iu}+(-1)·e^{10i(u+v)} ] d[u]d[v] ...
... )


(1/2)( S(u,v) )^{2} = ...
... ( f(h) )^{20}·( ...
... (-1)·(1/96)·e^{12iu+8iv}+(1/100)·e^{10i(u+v)} + ...
... (-1)·(1/96)·e^{12iv+8iu}+(1/100)·e^{10i(u+v)} ...
... )