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  Long-Range Deformations for Integrable Spin Chains

Bargheer, T., Beisert, N., & Loebbert, F. (2009). Long-Range Deformations for Integrable Spin Chains. Journal of Physics A, 42: 285205. doi:10.1088/1751-8113/42/28/285205.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-45C3-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-45C4-D
Genre: Journal Article

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 Creators:
Bargheer, Till1, Author              
Beisert, Niklas1, Author              
Loebbert, Florian1, Author              
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24016              

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 Abstract: 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.

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 Dates: 2009
 Publication Status: Published in print
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 Identifiers: eDoc: 402939
Other: arXiv:0902.0956
URI: http://lanl.arxiv.org/abs/0902.0956
DOI: 10.1088/1751-8113/42/28/285205
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Title: Journal of Physics A
Source Genre: Journal
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Pages: - Volume / Issue: 42 Sequence Number: 285205 Start / End Page: - Identifier: -