منابع مشابه
Multiplicity in Supersymmetric Spin Chains
We discuss a simple procedure for obtaining new integrable spin chains from old by replacing each single state of the original model by some collection of states. This works whenever the Lax matrix of the chain has a certain form. The simplest example is the su(n) XX model. We apply the techniques of the nested algebraic Bethe ansatz to solve such systems, in the bosonic and supersymmetric cases.
متن کاملBaxter’s Q-operators for supersymmetric spin chains
We develop Yang-Baxter integrability structures connected with the quantum affine superalgebra Uq(ŝl(2|1)). Baxter’s Q-operators are explicitly constructed as supertraces of certain monodromy matrices associated with (q-deformed) bosonic and fermionic oscillator algebras. There are six different Q-operators in this case, obeying a few fundamental fusion relations, which imply all functional rel...
متن کاملSmall deformations of supersymmetric Wilson loops and open spin-chains
We study insertions of composite operators into Wilson loops in N = 4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions transform in the adjoint representation of the gauge group. This provides a gauge invariant way to define the correlator of non-singlet operators. Since the basic loop preserves an SL(2,R) subgroup of...
متن کاملSupersymmetric spin operators
We develop a supersymmetric representation of spin operators which unifies the Schwinger and Abrikosov representations of SU(N) spin operators, allowing a second-quantized treatment of representations of the SU(N) group with both symmetric and antisymmetric character. By applying this to the SU(N) Kondo model, we show that it is possible to develop a controlled treatment of both Magnetism and t...
متن کاملSpin Chains in Combinatorics
We give a review of the elementary properties of spin chains together with some applications to the enumeration of alternating sign matrices. The main references concerning spin chains are [1, 2].
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2008
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2008.02.007