Results 1  10
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56
Transcendentality and crossing
, 2006
"... We discuss possible phase factors for the Smatrix of planar N = 4 gauge theory, leading to modifications at fourloop order as compared to an earlier proposal. While these result in a fourloop breakdown of perturbative BMNscaling, KotikovLipatov transcendentality in the universal scaling function ..."
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Cited by 177 (2 self)
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We discuss possible phase factors for the Smatrix of planar N = 4 gauge theory, leading to modifications at fourloop order as compared to an earlier proposal. While these result in a fourloop breakdown of perturbative BMNscaling, KotikovLipatov transcendentality in the universal scaling function for largespin twist operators may be preserved. One particularly natural choice, unique up to one constant, modifies the overall contribution of all terms containing odd zeta functions in the earlier proposed scaling function based on a trivial phase. Excitingly, we present evidence that this choice is nonperturbatively related to a recently conjectured crossingsymmetric phase factor for perturbative string theory on AdS5 × S 5 once the constant is fixed to a particular value. Our proposal, if true, might therefore resolve
Magnon bound states and the AdS/CFT correspondence,” J.Phys
, 2006
"... We study the spectrum of asymptotic states in the spinchain description of planar N = 4 SUSY YangMills. In addition to elementary magnons, the asymptotic spectrum includes an infinite tower of multimagnon bound states with exact dispersion relation, ..."
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Cited by 155 (3 self)
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We study the spectrum of asymptotic states in the spinchain description of planar N = 4 SUSY YangMills. In addition to elementary magnons, the asymptotic spectrum includes an infinite tower of multimagnon bound states with exact dispersion relation,
Wrapping interactions and a new source of corrections to the spinchain/string duality
, 2006
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Quantum corrections to the string Bethe ansatz,” hepth/0603204
"... hep–th/0603204 ..."
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Connecting giant magnons to the ppwave: An interpolating limit
 of AdS5×S 5 ” [hepth/0612079
"... We consider a particular largeradius limit of the worldsheet Smatrix for strings propagating on AdS5 × S 5. This limiting theory interpolates smoothly between the socalled planewave and giantmagnon regimes of the theory. The sigma model in this region simplifies; it stands as a toy model of the ..."
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Cited by 92 (0 self)
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We consider a particular largeradius limit of the worldsheet Smatrix for strings propagating on AdS5 × S 5. This limiting theory interpolates smoothly between the socalled planewave and giantmagnon regimes of the theory. The sigma model in this region simplifies; it stands as a toy model of the full theory, and may be easier to solve directly. The S matrix of the limiting theory is nontrivial, and receives contributions to all orders in the α ′ expansion. We analyze a guess for the full worldsheet S matrix that was formulated recently by Beisert, Hernandez and Lopez, and Beisert, Eden, and Staudacher, and take the corresponding limit. After doing a Borel resummation we find that the proposed S matrix reproduces the expected results in the giantmagnon region. In addition, we rely on general considerations to draw some basic conclusions about the analytic structure of the S matrix
Wrapping interactions at strong coupling – the giant magnon
, 2008
"... We derive generalized Lüscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS5 × S⁵ superstring these formulas encode leading wrapping interaction effects. We apply the generalized µterm formula to calculate finite size corrections to the dispersion ..."
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Cited by 90 (3 self)
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We derive generalized Lüscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS5 × S⁵ superstring these formulas encode leading wrapping interaction effects. We apply the generalized µterm formula to calculate finite size corrections to the dispersion relation of the giant magnon at strong coupling. The result exactly agrees with the classical string computation of Arutyunov, Frolov and Zamaklar. The agreement involved a Borel resummation of all even looporders of the BES/BHL dressing factor thus providing a strong consistency check for the choice of the dressing factor.
Finitesize Effects from Giant Magnons
, 2006
"... In order to analyze finitesize effects for the gaugefixed string sigma model on AdS5 × S 5, we construct onesoliton solutions carrying finite angular momentum J. In the infinite J limit the solutions reduce to the recently constructed onemagnon configuration of Hofman and Maldacena. The solution ..."
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Cited by 58 (4 self)
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In order to analyze finitesize effects for the gaugefixed string sigma model on AdS5 × S 5, we construct onesoliton solutions carrying finite angular momentum J. In the infinite J limit the solutions reduce to the recently constructed onemagnon configuration of Hofman and Maldacena. The solutions do not satisfy the levelmatching condition and hence exhibit a dependence on the gauge choice, which however disappears as the size J is taken to infinity. Interestingly, the solutions do not conserve all the global charges of the psu(2, 24) algebra of the sigma model, implying that the symmetry algebra of the gaugefixed string sigma model is different from psu(2, 24) for finite J, once one gives up the levelmatching condition. The magnon dispersion relation exhibits exponential corrections with respect to the infinite J solution. We also find a generalisation of our onemagnon configuration to a solution carrying two charges on the sphere. We comment on the possible implications of our findings for the existence of the Bethe ansatz describing the spectrum
Bethe ansatz in stringy sigma models
"... We compute the exact Smatrix and give the Bethe ansatz solution for three sigmamodels which arise as subsectors of string theory in AdS5×S 5: LandauLifshitz model (nonrelativistic sigmamodel on S 2), AldayArutyunovFrolov model (fermionic sigmamodel with su(11) symmetry), and FaddeevResheti ..."
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Cited by 30 (3 self)
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We compute the exact Smatrix and give the Bethe ansatz solution for three sigmamodels which arise as subsectors of string theory in AdS5×S 5: LandauLifshitz model (nonrelativistic sigmamodel on S 2), AldayArutyunovFrolov model (fermionic sigmamodel with su(11) symmetry), and FaddeevReshetikhin model (string sigmamodel on S 3 × R).
BRST invariance of nonlocal charges and monodromy matrix of bosonic string
 on AdS(5) x S**5,” arXiv:hepth/0701013
"... Abstract: Using the generalized Hamiltonian method of Batalin, Fradkin and Vilkovsky we develop the BRST formalism for the bosonic string on AdS5×S 5 formulated as principal chiral model. Then we show that the monodromy matrix and nonlocal charges are BRST invariant. ..."
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Cited by 5 (0 self)
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Abstract: Using the generalized Hamiltonian method of Batalin, Fradkin and Vilkovsky we develop the BRST formalism for the bosonic string on AdS5×S 5 formulated as principal chiral model. Then we show that the monodromy matrix and nonlocal charges are BRST invariant.