English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Long-Range Deformations for Integrable Spin Chains

MPS-Authors
/persons/resource/persons20677

Bargheer,  Till
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons20678

Beisert,  Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons20680

Loebbert,  Florian
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Locator
There are no locators available
Fulltext (public)

a9_28_285205.pdf
(Publisher version), 823KB

0902.0956v1.pdf
(Preprint), 770KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-45C3-F
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.