Plane wave limit of local conserved charges
نویسنده
چکیده
We study the plane wave limit of the Bäcklund transformations for the classical string in AdS space times a sphere and obtain an explicit expression for the local conserved charges. We show that the Pohlmeyer charges become in the plane wave limit the local integrals of motion of the free massive field. This fixes the coefficients in the expansion of the anomalous dimension as the sum of the Pohlmeyer charges. e-mail: [email protected]
منابع مشابه
Non - local charges on AdS 5 × S 5 and PP - waves
We show the existence of an infinite set of non-local classically conserved charges on the Green-Schwarz closed superstring in a pp-wave background. We find that these charges agree with the Penrose limit of non-local classically conserved charges recently found for the AdS5 × S Green-Schwarz superstring. The charges constructed in this paper could help to understand the role played by these on...
متن کاملOn the Integrability of large N Plane-Wave Matrix Theory
We show the three-loop integrability of large N plane-wave matrix theory in a subsector of states comprised of two complex light scalar fields. This is done by diagonalizing the theory’s Hamiltonian in perturbation theory and taking the large N limit. At one-loop level the result is known to be equal to the Heisenberg spin-1/2 chain, which is a well-known integrable system. Here, integrability ...
متن کاملBäcklund transformations , energy shift and the plane wave limit
We discuss basic properties of the Bäcklund transformations for the classical string in AdS space. We explain the relation between the Bäcklund transformations and the energy shift of the dual field theory state. We show that Bäcklund transformations can be represented as a finite-time evolution generated by a special linear combination of Pohlmeyer charges. We also discuss the plane wave limit.
متن کاملOpen strings in the plane wave background II: Superalgebras and Spectra
In hep-th/0211011 we started a systematic investigation of open strings in the plane wave background. In this paper we continue the analysis by discussing the superalgebras of conserved charges, the spectra of open strings, and the spectra of DBI fluctuations around D-brane embeddings. We also derive the gluing conditions for corresponding boundary states and analyze their symmetries. All resul...
متن کاملNon-linear Sigma Models on a Half Plane
In the context of integrable field theory with boundary, the integrable non-linear sigma models in two dimensions, for example, the O(N ), the principal chiral, the CP and the complex Grassmannian sigma models are discussed on a half plane. In contrast to the well known cases of sine-Gordon, non-linear Schrödinger and affine Toda field theories, these non-linear sigma models in two dimensions a...
متن کامل