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ID: 402939.0, MPI für Gravitationsphysik / Duality & Integrable Structures
Long-Range Deformations for Integrable Spin Chains
Authors:Bargheer, Till; Beisert, Niklas; Loebbert, Florian
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Journal of Physics A
Volume:42
Sequence Number of Article:285205
Review Status:not specified
Audience:Not Specified
Abstract / Description:We present a recursion relation for the explicit construction of integrable spin chain Hamiltonians with long-range interactions. Based on arbitrary short-range (e.g. nearest-neighbor) integrable spin chains, it allows to construct an infinite set of conserved long-range charges. We explain the moduli space of deformation parameters by different classes of generating operators. The rapidity map and dressing phase in the long-range Bethe equations are a result of these deformations. The closed chain asymptotic Bethe equations for long-range spin chains transforming under a generic symmetry algebra are derived. Notably, our construction applies to generalizations of standard nearest-neighbor chains such as alternating spin chains. We also discuss relevant properties for its application to planar D=4, N=4 and D=3, N=6 supersymmetric gauge theories. Finally, we present a map between long-range and inhomogeneous spin chains delivering more insight into the structures of these models as well as their limitations at wrapping order.
External Publication Status:published
Document Type:Article
Communicated by:Niklas Beisert
Affiliations:MPI für Gravitationsphysik/Duality & Integrable Structures
MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:0902.0956
URL:http://lanl.arxiv.org/abs/0902.0956
DOI:10.1088/1751-8113/42/28/285205
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