124 research outputs found
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
Relation between Yang-Baxter and Pair Propagation Equations in 16-Vertex Models
We study a relation between two integrability conditions, namely the
Yang-Baxter and the pair propagation equations, in 2D lattice models. While the
two are equivalent in the 8-vertex models, discrepancies appear in the
16-vertex models. As explicit examples, we find the exactly solvable 16-vertex
models which do not satisfy the Yang-Baxter equations.Comment: 11 pages, TEZU-F-059 and EWHA-TH-00
OPE in planar QCD from integrability
We consider the operator product expansion of local single-trace operators
composed of the self-dual components of the field strength tensor in planar
QCD. Using the integrability of the one-loop matrix of anomalous dimensions of
such operators, we obtain a determinant expression for certain tree-level
structure constants in the OPE.Comment: 20 pages, 5 figures; v2: added refs and discussion of general
structure constant
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