Spinning strings at one-loop in AdS<sub>4</sub>× ℙ<sup>3</sup>

McLoughlin, Tristan; Roiban, Radu

doi:10.1088/1126-6708/2008/12/101

Cited by 97 publications

(102 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We note that there already exists evidence that the quantum corrections of the two theories are closely connected. 9 Indeed it was conjectured in [40], and tested for in [41,42,43,44], that the anomalous dimensions of twist operators of ABJM theory can be obtained from N = 4 super Yang-Mills, up to normalization factors which can be easily determined, simply by substituting,…”

Section: Discussionmentioning

confidence: 99%

Dualities for loop amplitudes of N = 6 Chern-Simons matter theory

Chen

Huang

2011

J. High Energ. Phys.

102

View full text Add to dashboard Cite

In this paper we study the one-and two-loop corrections to the four-point amplitude of N = 6 Chern-Simons matter theory. Using generalized unitarity methods we express the one-and two-loop amplitudes in terms of dual-conformal integrals. Explicit integration by using dimensional reduction gives vanishing one-loop result as expected, while the twoloop result is non-vanishing and matches with the Wilson loop computation. Furthermore, the two-loop correction takes the same form as the one-loop correction to the four-point amplitude of N = 4 super Yang-Mills. We discuss possible higher loop extensions of this correspondence between the two theories. As a side result, we extend the method of dimensional reduction for three dimensions to five dimensions where dual conformal symmetry is most manifest, demonstrating significant simplification to the computation of integrals. *

show abstract

Section: Discussionmentioning

confidence: 99%

Dualities for loop amplitudes of N = 6 Chern-Simons matter theory

Chen

Huang

2011

J. High Energ. Phys.

102

View full text Add to dashboard Cite

show abstract

“…In the limiting φ = 0 and φ = π/2 cases, where there are no cubic terms, we see that the two-point functions are manifestly finite. Before ending this section, we should note that in order to determine the finite part of the spectrum, dimensional regularization is not a suitable regulator for the loop integrals [51], see also [52][53][54][55][56][57][58]. The reason is that in order to maintain unitarity, one should choose a cutoff such that the decay processes, originating from the cubic Lagrangian, are energetically allowed [44] (see also [59]).…”

Section: One-loop Finitenessmentioning

confidence: 99%

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

Rughoonauth¹,

Sundin²,

Wulff³

2012

J. High Energ. Phys.

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

“…5 We comment in particular on the differences between standard orbifold constructions for D-branes [30] and the action of the orbifold in the ABJM theory, which has the effect to change the level of the Chern-Simons coupling. 6 We study the offdiagonal modes connecting parallel M2-branes and show that they can be interpreted as extended objects whose tension goes like ℓ −3 P , so they behave like a two-dimensional object 4 Semiclassical strings and one-loop corrections to their energies were discussed in [24] and [25,26]. 5 Some work addressing the relation between M2-and D2-branes in this context can be found in [27,28,29].…”

Section: Outlinementioning

confidence: 99%

Three-dimensionalN=6superconformal field theories and their membrane dynamics

2008

View full text Add to dashboard Cite

We analyze several aspects of the recent construction of three-dimensional conformal gauge theories by Aharony et al. in various regimes. We pay special attention to understanding how the M-theory geometry and interpretation can be extracted from the analysis of the field theory. We revisit the calculations of the moduli space of vacua and the complete characterization of chiral ring operators by analyzing the field theory compactified on a 2-sphere. We show that many of the states dual to these operators can be interpreted as D-brane states in the weak coupling limit.Also, various features of the dual AdS geometry can be obtained by performing a strong coupling expansion around moduli space configurations, even though one is not taking the planar expansion. In particular, we show that at strong coupling the corresponding weak coupling D-brane states of the chiral ring localize on particular submanifolds of the dual geometry that match the M-theory interpretation. We also study the massive spectrum of fields in the moduli space. We use this to investigate the dispersion relation of giant magnons from the field theory point of view. Our analysis predicts the exact functional form of the dispersion relation as a function of the world-sheet momentum, independently of integrability assumptions, but not the exact form with respect to the 't Hooft coupling. We also get the dispersion relation of bound states of giant magnons from first principles, providing evidence for the full integrability of the corresponding spin chain model at strong 't Hooft coupling.

show abstract

Spinning strings at one-loop in AdS₄× ℙ³

Cited by 97 publications

References 60 publications

Dualities for loop amplitudes of N = 6 Chern-Simons matter theory

Dualities for loop amplitudes of N = 6 Chern-Simons matter theory

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

Three-dimensionalN=6superconformal field theories and their membrane dynamics

Contact Info

Product

Resources

About

Spinning strings at one-loop in AdS4× ℙ3

Cited by 97 publications

References 60 publications

Dualities for loop amplitudes of N = 6 Chern-Simons matter theory

Dualities for loop amplitudes of N = 6 Chern-Simons matter theory

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

Three-dimensionalN=6superconformal field theories and their membrane dynamics

Contact Info

Product

Resources

About

Spinning strings at one-loop in AdS₄× ℙ³