teoría de cordes: acció doble-octogon-hexagon

acció doble-octogon-hexagon:


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


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


(1/2)( S(u,v) )^{2} = ...
... ∬ [ GGGGGGEEEEEEEE+(-1)FFFFFFFFFFFFFF ] d[u]d[v]+...
... ∬ [ EEEEEEGGGGGGGG+(-1)FFFFFFFFFFFFFF ] 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) )^{28}·( ...
... ∬ [ e^{12iu+16iv}+(-1)·e^{28i(u+v)} ] d[u]d[v] + ...
... ∬ [ e^{12iv+16iu}+(-1)·e^{28i(u+v)} ] d[u]d[v] ...
... )


(1/2)( S(u,v) )^{2} = ...
... ( f(h) )^{28}·( ...
... (-1)·(1/192)·e^{12iu+16iv}+(1/784)·e^{28i(u+v)} + ...
... (-1)·(1/192)·e^{12iv+16iu}+(1/784)·e^{28i(u+v)} ...
... )