The Algebra of Transition Matrices for theAdS5×S5Superstring

Das, Ashok; Melikyan, A.; Sato, Matsuo; Maharana, Jnanadeva

doi:10.1088/1126-6708/2004/12/055

Cited by 67 publications

(59 citation statements)

References 28 publications

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“…Clearly, the actual non-diagonalized S-matrix is important as the underlying structure of the Bethe ansatz, cf. [31] for some results in this direction. Due to the AdS/CFT correspondence, one might expect the S-matrix to have the same or at least a very similar form and an explicit derivation would be very valuable.…”

Section: Introduction and Conclusionmentioning

confidence: 96%

The su(2|2) Dynamic S-Matrix

Beisert¹

2008

Advances in Theoretical and Mathematical Physics

635

1,364

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We derive and investigate the S-matrix for the su(2|3) dynamic spin chain and for planar N = 4 super Yang-Mills. Due to the large amount of residual symmetry in the excitation picture, the S-matrix turns out to be fully constrained up to an overall phase. We carry on by diagonalizing it and obtain Bethe equations for periodic states. This proves an earlier proposal for the asymptotic Bethe equations for the su(2|3) dynamic spin chain and for N = 4 SYM.

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Section: Introduction and Conclusionmentioning

confidence: 96%

The su(2|2) Dynamic S-Matrix

Beisert¹

2008

Advances in Theoretical and Mathematical Physics

635

1,364

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“…The central object on which the construction of the string action is based on is the well-known supersymmetry group PSU(2, 2|4). We recall [1,21,22] that the superstring action S is a sum of two terms: the (world-sheet metric-dependent) kinetic term and the topological Wess-Zumino term:…”

Section: Gauged-fixed String Sigma-modelmentioning

confidence: 99%

The off-shell symmetry algebra of the light-cone AdS₅×S⁵superstring

Arutyunov¹,

Frolov²,

Plefka³

et al. 2007

J. Phys. A: Math. Theor.

161

263

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We analyse the psu(2, 2|4) supersymmetry algebra of a superstring propagating in the AdS 5 × S 5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2) ⊕ psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N = 4 gauge theory.

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“…These two quantities have not as yet been determined from the first principles of field theory. However, the insights coming from gauge theory [11][12][13][14] from semi-classical string quantisation [11,[15][16][17][18][19][20] as well as from the analysis of classical strings [21][22][23][24][25][26] lead to a conjecture for the form of the dispersion relation and the corresponding S-matrix [27,28]. From the perspective of relativistic field theory, both the dispersion relation and the S-matrix have an unusual form.…”

Section: Introductionmentioning

confidence: 99%

Finite-size effects from giant magnons

2007

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In order to analyze finite-size effects for the gauge-fixed string sigma model on AdS 5 × S 5 , we construct one-soliton solutions carrying finite angular momentum J . In the infinite J limit the solutions reduce to the recently constructed one-magnon configuration of Hofman and Maldacena. The solutions do not satisfy the level-matching 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, 2|4) algebra of the sigma model, implying that the symmetry algebra of the gauge-fixed string sigma model is different from psu(2, 2|4) for finite J , once one gives up the level-matching condition. The magnon dispersion relation exhibits exponential corrections with respect to the infinite J solution. We also find a generalisation of our one-magnon 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 of strings carrying finite charges.

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The Algebra of Transition Matrices for theAdS₅×S⁵Superstring

Cited by 67 publications

References 28 publications

The su(2|2) Dynamic S-Matrix

The su(2|2) Dynamic S-Matrix

The off-shell symmetry algebra of the light-cone AdS₅×S⁵superstring

Finite-size effects from giant magnons

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The Algebra of Transition Matrices for theAdS5×S5Superstring

Cited by 67 publications

References 28 publications

The su(2|2) Dynamic S-Matrix

The su(2|2) Dynamic S-Matrix

The off-shell symmetry algebra of the light-cone AdS5×S5superstring

Finite-size effects from giant magnons

Contact Info

Product

Resources

About

The Algebra of Transition Matrices for theAdS₅×S⁵Superstring

The off-shell symmetry algebra of the light-cone AdS₅×S⁵superstring