144 research outputs found
Some semiclassical structure constants for AdS_4 x CP^3
We compute structure constants in three-point functions of three string
states in AdS_4 x CP^3 in the framework of the semiclassical approach. We
consider HHL correlation functions where two of the states are "heavy" string
states of finite-size giant magnons carrying one or two angular momenta and the
other one corresponds to such "light" states as dilaton operators with non-zero
momentum, primary scalar operators, and singlet scalar operators with higher
string levels.Comment: 19 pages; References added, typos fixe
M2-brane Perspective on N=6 Super Chern-Simons Theory at Level k
Recently, O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena (ABJM)
proposed three-dimensional super Chern-Simons-matter theory, which at level k
is supposed to describe the low energy limit of N M2-branes. For large N and k,
but fixed 't Hooft coupling \lambda=N/k, it is dual to type IIA string theory
on AdS_4 x CP^3. For large N but finite k, it is dual to M theory on AdS_4 x
S^7/Z_k. In this paper, relying on the second duality, we find exact giant
magnon and single spike solutions of membrane configurations on AdS_4 x S^7/Z_k
by reducing the system to the Neumann-Rosochatius integrable model. We derive
the dispersion relations and their finite-size corrections with explicit
dependence on the level k.Comment: 19 pages, References adde
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