Superstrings on AdS4 × ℂℙ3 as a coset sigma-model

By G. Arutyunov, S. Frolov. 2008

263 citations recorded by the source corpus.

According to the recent proposal by Aharony, Bergman, Jafferis and Maldacena the = 6 supersymmetric Chern-Simons theory in three dimensions has a 't Hooft limit whose holographic dual is described by type IIA superstings on AdS4 × 3 background. We argue that the Green-Schwarz action for type IIA string theory on AdS4 × 3 with κ-symmetry partially fixed can be understood as a coset sigma-model on the same space supplied with a proper Wess-Zumino term. We construct the corresponding sigma-model Lagrangian and show that it is invariant under a local fermionic symmetry which for generic bosonic string configurations allows one to remove 8 out of 24 fermionic degrees of freedom. The remaining 16 fermions together with their bosonic partners should describe the physical content of AdS4 × 3 superstring. As further evidence, we demonstrate that in the plane-wave limit the quadratic action arising from our model reproduces the one emerging from the type IIA superstring. The coset sigma-model is classically integrable which opens up the possibility to investigate its dynamics in a way very similar to the case of AdS5 × S5 superstrings.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/287bda929d9d027fce3a5e3acf3ae1df3b76a7e0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. G. Arutyunov
2. S. Frolov
3. K. Zarembo
4. A. Tseytlin
5. L. Alday
6. R. Roiban
7. N. Beisert
8. Tristan McLoughlin

In Nuclear and High Energy Physics

1. S. Frolov
2. G. Arutyunov
3. A. Tseytlin
4. R. Roiban
5. K. Zarembo
6. N. Beisert
7. L. Alday
8. M. Staudacher

Citations in the corpus

• N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations (2008, background): “More recently, all-loop BAEs for the N = 6 CS were conjectured by Gromov and Vieira [12] based on the perturbative result [8] and the classical integrability in the large-coupling limit discovered in [13, 14, 15].”
• Spinning strings at one-loop in AdS(4) x P**3 (2008, background): “Recently, however, Green-Schwarz [ 11 , 12] and pure spinor [13] models based on the coset OSp(6|4)/SU(3)×U(1)×SO(1,3) have been constructed.”
• Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “A notable feature of the string theory limit of the ABJM theory, whose sigma model was studied in [14, 15] and, using a covariant formulation, in [16], is that it appears to be integrable [17, 18] (see also [19, 20]).”
• Strings on semisymmetric superspaces (2010, methodology): “This is known to happen in AdS4 × CP 3 [18].”
• Semiclassical quantization of spinning strings in AdS4 × ℂℙ3 (2008, methodology): “As observed in [2], strings which carry only AdS spin provide an example of a singular string background, because the corresponding κsymmetry transformations instead of generic rank 8 have higher rank equal to 12.”
• Integrability and the AdS3/CFT2 correspondence (2009, unknown): “In this respect, the background is similar to AdS4×CP (3), for which the coset description requires partially fixed kappa-symmetry [24, 26].”