teoría de cordes: acció doble-octogon-hexagon-cuadrat

acció doble-octogon-hexagon-cuadrat:


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


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


(1/2)( S(u,v) )^{2} = ...
... ∬ [ GGGGGGGGGGEEEE+(-1)FFFFFFFFFFFFFF ] d[u]d[v]+...
... ∬ [ EEEEEEEEEEGGGG+(-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^{20iu+8iv}+(-1)·e^{28i(u+v)} ] d[u]d[v] + ...
... ∬ [ e^{20iv+8iu}+(-1)·e^{28i(u+v)} ] d[u]d[v] ...
... )


(1/2)( S(u,v) )^{2} = ...
... ( f(h) )^{28}·( ...
... (-1)·(1/160)·e^{20iu+8iv}+(1/784)·e^{28i(u+v)} + ...
... (-1)·(1/160)·e^{20iv+8iu}+(1/784)·e^{28i(u+v)} ...
... )