Testing the nested light-cone Bethe equations of theAdS5×S5superstring

Hentschel, Alexander; Plefka, Jan; Sundin, Per

doi:10.1088/1126-6708/2007/05/021

Cited by 14 publications

(29 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The way to calculate these for closed strings in various AdS / CFT backgrounds is, by now, a rather well-established procedure [60][61][62][63]45,64,43,65]. The starting point is the free quadratic BMN Lagrangian, which allows for an exact solution in terms of string oscillators.…”

Section: Energy Shiftsmentioning

confidence: 99%

“…Having obtained the (perturbative) solutions for p k one can then plug this into the magnon dispersion relation which in turn gives a prediction for the energy which we match against the string calculation. For details of this procedure we refer the reader to [42,64,43].…”

Section: Bethe Equationsmentioning

confidence: 99%

“…For φ = 0 and φ = π 2 the Bethe equations collapse to the rank one equations of P SU (2, 2|4) [33]. Furthermore, for these two values of φ the cubic Lagrangian vanishes and the relevant quartic terms are identical to the AdS 5 × S 5 case [42,64]. Thus, following [64] it becomes clear that the length L is expressed as…”

Section: Su(2) Sectormentioning

confidence: 99%

“…In order to arrive at the above equation, we made use of the following nice identity for the AFS phase [64]:…”

Section: Su(2) Sectormentioning

confidence: 99%

See 3 more Smart Citations

Near BMN dynamics of the AdS 3 × S 3 × S 3 × S 1 superstring

Rughoonauth¹,

Sundin²,

Wulff³

2012

J. High Energ. Phys.

Self Cite

137

View full text Add to dashboard Cite

We investigate the type IIA AdS 3 × S 3 × M 4 superstring with M 4 = S 3 × S 1 or M 4 = T 4 . String theory in this background is interesting because of AdS 3 /CF T 2 and its newly discovered integrable structures. We derive the kappa symmetry gauge-fixed Green-Schwarz string action to quadratic order in fermions and quartic order in fields utilizing a near BMN expansion. As a first consistency check of our results we show that the two point functions are one-loop finite in dimensional regularization. We then perform a Hamiltonian analysis where we compare the energy of string states with the predictions of a set of conjectured Bethe equations. While we find perfect agreement for single rank one sectors, we find that the product SU (2)×SU (2) sector does not match unless the Bethe equations decouple completely. We then calculate 2 → 2 bosonic tree-level scattering processes on the string worldsheet and show that the two-dimensional S-matrix is reflectionless. This might be important due to the presence of massless worldsheet excitations which are generally not described by the Bethe equations.arXiv:1204.4742v3 [hep-th]

show abstract

Section: Energy Shiftsmentioning

confidence: 99%

Section: Bethe Equationsmentioning

confidence: 99%

Section: Su(2) Sectormentioning

confidence: 99%

“…In order to arrive at the above equation, we made use of the following nice identity for the AFS phase [64]:…”

Section: Su(2) Sectormentioning

confidence: 99%

See 2 more Smart Citations

Near BMN dynamics of the AdS 3 × S 3 × S 3 × S 1 superstring

Rughoonauth¹,

Sundin²,

Wulff³

2012

J. High Energ. Phys.

Self Cite

137

View full text Add to dashboard Cite

show abstract

“…One possibility to judge about integrability beyond the classical level is to verify if the proposed quantum Bethe equations correctly predict the energies for states with at least three excitations. This has been successfully done in the near-plane-wave limit [37] and in the uniform lightcone gauge [38,39], but only semi-classically. Very recently, a stronger hint for quantum integrability was given by showing that all logarithmic divergences in the transfer matrix cancel [40].…”

Section: Introductionmentioning

confidence: 99%

Factorized world-sheet scattering in near-flat

2008

View full text Add to dashboard Cite

We show the factorization of the three-particle world-sheet S-matrix of AdS 5 ×S 5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the world-sheet theory. The knowledge of certain highest weight amplitudes allows us to fix all the freedom in the three-particle Smatrix, which we argue to be constrained up to four scalar functions due to the symmetries of the model. We demonstrate that these amplitudes are given by corresponding products of the known two-particle S-matrix elements, from which it follows that the scattering of any three worldsheet excitations factorizes. This provides an explicit and direct check of the quantum integrability of string theory in near-flat AdS 5 × S 5 as it renders evidence for the existence of higher conserved charges. By computing further amplitudes we also obtain an indirect confirmation of the supersymmetries of the near-flat-space model.

show abstract

Classical and quantum integrability in AdS 2/CFT 1

Murugan

Sundin

Wulff

2013

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We investigate the type IIA string on AdS 2 × S 2 × T 6 supported by RR-flux which describes the gravitational side of the AdS 2 /CF T 1 correspondence. While the fourdimensional part AdS 2 × S 2 can be realized as a supercoset, the full superstring has both coset and non-coset excitations, the latter giving rise to massless worldsheet modes, a somewhat novel feature in AdS/CF T . The string is nevertheless known to be integrable at the classical level. In this paper we perform several computations checking aspects of both classical and quantum string integrability. At the classical level we compute energies for the near BMN string and successfully match these against Bethe ansatz predictions. Furthermore, integrability dictates a magnon dispersion relation which we compare with the poles of loop corrected propagators, at both the one and two-loop level. At one loop, where only tadpole diagrams contribute, we find that the bosonic and fermionic contributions sum up to zero. Under the assumption of worldsheet supersymmetry, we then compute the two-loop sunset diagram in the near flat space limit. As in AdS 5 × S 5 we find that the result fits

show abstract

Testing the nested light-cone Bethe equations of theAdS₅×S⁵superstring

Cited by 14 publications

References 33 publications

Near BMN dynamics of the AdS 3 × S 3 × S 3 × S 1 superstring

Near BMN dynamics of the AdS 3 × S 3 × S 3 × S 1 superstring

Factorized world-sheet scattering in near-flat

Classical and quantum integrability in AdS 2/CFT 1

Contact Info

Product

Resources

About