منابع مشابه
The N = 4 SYM Integrable Super Spin Chain
Recently it was established that the one-loop planar dilatation generator of N = 4 Super Yang-Mills theory may be identified, in some restricted cases, with the Hamiltonians of various integrable quantum spin chains. In particular Minahan and Zarembo established that the restriction to scalar operators leads to an integrable vector so(6) chain, while recent work in QCD suggested that restrictin...
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We investigate the integrable structures in an N = 2 superconformal Sp(N) Yang-Mills theory with matter, which is dual to an open+closed string system. We restrict ourselves to the BMN operators that correspond to free string states. In the closed string sector, an integrable structure is inherited from its parent theory, N = 4 SYM. For the open string sector, the planar one-loop mixing matrix ...
متن کاملIntegrable versus Non-Integrable Spin Chain Impurity Models
Recent renormalization group studies of impurities in spin-1/2 chains appear to be inconsistent with Bethe ansatz results for a special integrable model. We study this system in more detail around the integrable point in parameter space and argue that this integrable impurity model corresponds to a non-generic multi-critical point. Using previous results on impurities in halfinteger spin chains...
متن کاملIterative Structure of the N = 4 SYM Spin Chain
We develop algebraic methods for finding loop corrections to the N = 4 SYM dilatation generator, within the noncompact psu(1, 1|2) sector. This sector gives a ’t Hooft coupling λ-dependent representation of psu(1, 1|2)× psu(1|1)2. At first working independently of the representation, we present an all-order algebraic ansatz for the λ-dependence of this Lie algebra’s generators. The ansatz solve...
متن کاملIntegrable XYZ Spin Chain with Boundaries
We consider a general class of boundary terms of the open XYZ spin-1/2 chain compatible with integrability. We have obtained the general elliptic solution of K-matrix obeying the boundary Yang-Baxter equation using the R-matrix of the eight vertex model and derived the associated integrable spin-chain Hamiltonian. 1+1 dimensional integrable models with boundaries find interesting applications i...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2003
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2003.08.015