We generalize the one magnon solution in R ? S2 to unbounded M magnon and find the corresponding solitonic string
con?guration in the string sigma model. This conguration gives rise to the expected dispersion relation obtained from
the spin chain model in the large 't Hooft coupling limit. After considering (M;M) multi-magnon or
spike on R ? S2 ? S2 as a subspace of AdS5 ? S5 or AdS4 ? CP3, we investigate the dispersion relation and the ?nite
size e?ect for (M;M) multi-magnon or spike having multi-spin.
CONTENTS
학제간수학연구부에서 Magnon 관련 연구교류를 위한 세미나를 개최합니다.
관심있는 많은 분들의 참석 바랍니다.
We study the forced Kadomtsev-Petviashvili (KP) equation which
is a generalized form of the forced Koreteweg-de Vries (KdV) equation for three
dimensional flow.
Let R be an integral domain, X be a set of indeterminates over R,
and R[[X]]3 be the full ring of formal power series ring in X over R. An integral
domain is called a π-domain if every principal ideal is a product of prime ideals.
An integral domain R is called a formally stable π-domain if R[[X1; : : : ;Xn]] is a
π-domain for each finite set fX1; : : : ;Xng of indeterminates over R. We show that
R is a formally stable π-domain if R[[X]]3 is a π-domain. We extend the result to
rings with zero-divisors. A commutative ring R with identity is called a π-ring if
every principal ideal is a product of prime ideals. We show that R is a formally
stable π-ring if R[[X]]3 is a π-ring.
CONTENTS
기반수학연구부에서 연구교류를 위한 세미나를 개최합니다.
관심있는 많은 분들의 참석 바랍니다.
Activities
Calendar
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