  We present a quenched lattice calculation of all six form factors: vector
[f_1(q^2)], weak magnetism [f_2(q^2)], induced scalar [f_3(q^2)], axial-vector
[g_1(q^2)], weak electricity [g_2(q^2)] and induce pseudoscalar [g_3(q^2)] form
factors in hyperon semileptonic decay Xi^0 -> Sigma^{+} l nu using domain wall
fermions. The q^2 dependences of all form factors in the relatively low q^2
region are examined in order to evaluate their values at zero momentum
transfer. The Xi^0 -> Sigma^+ transition is highly sensitive to flavor SU(3)
breaking since this decay corresponds to the direct analogue of neutron beta
decay under the exchange of the down quark with the strange quark. The pattern
of flavor SU(3) breaking effects in the hyperon beta decay is easily exposed in
a comparison to results for neutron beta decay. We measure SU(3)-breaking
corrections to f_1(0), f_2(0)/f_1(0) and g_1(0)/f_1(0). A sign of the leading
order corrections, of which the size is less than a few %, on f_1(0) is likely
negative, while f_2(0)/f_1(0) and g_1(0)/f_1(0) receive positive corrections of
order 16% and 5% respectively. The observed patterns of the deviation from the
values in the exact SU(3) limit does not support some of model estimates. We
show that there are nonzero second-class form factors in the Xi^0 -> Sigma^+
decay, measuring f_3(0)/f_1(0)=0.14(10) and g_2(0)/g_1(0)=0.68(18), which are
comparable to the size of first-order SU(3) breaking. It is also found that the
SU(3) breaking effect on g_3(0)/g_1(0) agree with the prediction of the
generalized pion-pole dominance.
