Results 1  10
of
35
The su(22) dynamic Smatrix
, 2005
"... We derive and investigate the Smatrix for the su(23) dynamic spin chain and for planar N = 4 super YangMills. Due to the large amount of residual symmetry in the excitation picture, the Smatrix turns out to be fully constrained up to an overall phase. We carry on by diagonalising it and obtain B ..."
Abstract

Cited by 219 (11 self)
 Add to MetaCart
We derive and investigate the Smatrix for the su(23) dynamic spin chain and for planar N = 4 super YangMills. Due to the large amount of residual symmetry in the excitation picture, the Smatrix turns out to be fully constrained up to an overall phase. We carry on by diagonalising it and obtain Bethe equations for periodic states. This proves an earlier proposal for the asymptotic Bethe equations for the su(23) dynamic spin chain and for N = 4 SYM.
On Symmetry Enhancement
 in the psu(1,12) Sector of N=4 SYM, JHEP 10 (2007) 031, [arXiv:0707.1031
"... ar ..."
(Show Context)
LongRange Deformations for Integrable Spin Chains
"... We present a recursion relation for the explicit construction of integrable spin chain Hamiltonians with longrange interactions. Based on arbitrary shortrange (e.g. nearestneighbor) integrable spin chains, it allows to construct an infinite set of conserved longrange charges. We explain the modu ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
(Show Context)
We present a recursion relation for the explicit construction of integrable spin chain Hamiltonians with longrange interactions. Based on arbitrary shortrange (e.g. nearestneighbor) integrable spin chains, it allows to construct an infinite set of conserved longrange charges. We explain the moduli space of deformation parameters by different classes of generating operators. The rapidity map and dressing phase in the longrange Bethe equations are a result of these deformations. The closed chain asymptotic Bethe equations for longrange spin chains transforming under a generic symmetry algebra are derived. Notably, our construction applies to generalizations of standard nearestneighbor 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 longrange and inhomogeneous spin chains delivering more insight into
ImperialTPAR20092
, 907
"... In this article, we review the recently discovered asymptotic integrability in the planar N = 4 SYM theory and discuss its breakdown beyond the asymptotic region due to the wrapping interactions. We also discuss novel dynamical tests of the AdS/CFT correspondence one can perform in the special cases ..."
Abstract
 Add to MetaCart
(Show Context)
In this article, we review the recently discovered asymptotic integrability in the planar N = 4 SYM theory and discuss its breakdown beyond the asymptotic region due to the wrapping interactions. We also discuss novel dynamical tests of the AdS/CFT correspondence one can perform in the special cases when the wrapping interactions may be
The su(23) Undynamic Spin Chain
, 807
"... The integrable spin chain found in perturbative planar N = 4 supersymmetric gauge theory is dynamic. Here we propose a reformulation which removes the dynamic effects in order to make the model more accessible to an algebraic treatment. 1 ..."
Abstract
 Add to MetaCart
(Show Context)
The integrable spin chain found in perturbative planar N = 4 supersymmetric gauge theory is dynamic. Here we propose a reformulation which removes the dynamic effects in order to make the model more accessible to an algebraic treatment. 1
Preprint typeset in JHEP style HYPER VERSION WIS/14/08JULYDPP
, 807
"... Abstract: We discuss a class of Fermi Liquid Operators in N = 4 SYM. We show that these operators are eigenstates of the full quantum dilatation operator. We compute their 1 and 2 loop anomalous dimensions, and show that, similar to Fermi liquids in condensed matter systems, these corrections are su ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract: We discuss a class of Fermi Liquid Operators in N = 4 SYM. We show that these operators are eigenstates of the full quantum dilatation operator. We compute their 1 and 2 loop anomalous dimensions, and show that, similar to Fermi liquids in condensed matter systems, these corrections are suppressed by an arbitrarily small parameter, which is the equivalent of one over the Fermi energy. These operators are, at the classical level, descendants of 1/16 BPS operators, with
Fermi Liquid Operators in N = 4 SYM
, 807
"... Abstract: We discuss a class of Fermi Liquid Operators in N = 4 SYM. We show that these operators are eigenstates of the full quantum dilatation operator. We compute their 1 and 2 loop anomalous dimensions, and show that, similar to Fermi liquids in condensed matter systems, these corrections are su ..."
Abstract
 Add to MetaCart
(Show Context)
Abstract: We discuss a class of Fermi Liquid Operators in N = 4 SYM. We show that these operators are eigenstates of the full quantum dilatation operator. We compute their 1 and 2 loop anomalous dimensions, and show that, similar to Fermi liquids in condensed matter systems, these corrections are suppressed by an arbitrarily small parameter, which is the equivalent of one over the Fermi energy. These operators are, at the classical level, descendants of 1/16 BPS operators, with
Large spin expansion of the longrange
, 710
"... Preprint typeset in JHEP style HYPER VERSION ..."
(Show Context)