Exploring pure spinor string theory onAdS4× ℂℙ3

Bonelli, Giulio; Grassi, Pietro Antonio; Safaai, Houman

doi:10.1088/1126-6708/2008/10/085

Cited by 69 publications

(37 citation statements)

References 80 publications

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“…We have also obtained the explicit form of the spin connection of the AdS 4 × CP 3 superspace (to the second order in υ) which was left out in [7]. In contrast to the Green-Schwarz formulation, the knowledge of the form of the spin connection is required, for instance, for the pure spinor description of superstrings in curved superbackgrounds [17] and, in particular, is needed for extending to the full AdS 4 × CP 3 superspace the supercoset pure-spinor sigma-model of [18,19,20]. With some more efforts, which will be made elsewhere, one can also compute the form of the superfield strengths F 2 and F 4 of the RR fluxes in type IIA AdS 2 × S 2 × T 6 superbackgrounds and corresponding quantities describing this superbackground in the type IIB case.…”

Section: Resultsmentioning

confidence: 99%

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More on integrable structures of superstrings in AdS4 × CP 3 and AdS2 × S 2 × T 6 superbackgrounds

Cagnazzo

Sorokin

Wulff

2012

J. High Energ. Phys.

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In this paper we continue the study, initiated in [1,2], of the classical integrability of Green-Schwarz superstrings in AdS 4 × CP 3 and AdS 2 × S 2 × T 6 superbackgrounds whose spectrum contains non-supercoset worldsheet degrees of freedom corresponding to broken supersymmetries in the bulk. We derive an explicit expression, to all orders in the coset fermions and to second order in the non-coset fermions, which extends the supercoset Lax connection in these backgrounds with terms depending on the non-coset fermions. An important property of the obtained form of the Lax connection is that it is invariant under Z 4 -transformations of the superisometry generators and the spectral parameter. This demonstrates that the contribution of the non-coset fermions does not spoil the Z 4 -symmetry of the super-coset Lax connection which is of crucial importance for the application of Bethe-ansatz techniques. The expressions describing the AdS 4 × CP 3 and AdS 2 × S 2 × T 6 superstring sigma-models and their Lax connections have a very similar form. This is because their amount of target-space supersymmetries complement each other to 32 = 24+8, the maximal number of 10d type II supersymmetries. As a byproduct, this similarity has allowed us to obtain the form of the geometry of the complete type IIA AdS 2 × S 2 × T 6 superspace to all orders in the coset fermions and to the second order in the non-coset ones.

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Section: Resultsmentioning

confidence: 99%

“…where κ α (ξ) is a 32-component spinor parameter, 19) and g ij is an induced worldsheet metric. The string equations of motion (2.15) and (2.16) transform into each other under the kappa-symmetry variations.…”

Section: Lax Connection and Kappa-symmetrymentioning

confidence: 99%

More on integrable structures of superstrings in AdS4 × CP 3 and AdS2 × S 2 × T 6 superbackgrounds

Cagnazzo

Sorokin

Wulff

2012

J. High Energ. Phys.

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“…At strong coupling the situation is less clear: in [75] and [78] the coefficient h 0 was argued to be 0 whereas in [109] some evidence was given in favor of a different value − log 2 2π (see also [74]). Hopefully this issue could be analyzed from world-sheet sigma model first principles calculation like in [79,80]. Equation (2.1) admits two solutions, and we define two branches of the function x(u), which are called "mirror" and "physical":…”

Section: Jhep06(2010)088mentioning

confidence: 99%

Y-system, TBA and Quasi-Classical Strings in AdS 4 × CP3

Gromov

Levkovich-Maslyuk

2010

J. High Energ. Phys.

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Abstract:We study the exact spectrum of the AdS 4 /CFT 3 duality put forward by Aharony, Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz (TBA) equations for the planar ABJM theory, starting from "mirror" asymptotic Bethe equations which we conjecture. We also propose generalization of the TBA equations for excited states. The recently proposed Y-system is completely consistent with the TBA equations for a large subsector of the theory, but should be modified in general. We find the general asymptotic infinite length solution of the Y-system, and also several solutions to all wrapping orders in the strong coupling scaling limit. To make a comparison with results obtained from string theory, we assume that the all-loop Bethe ansatz of N.G. and P. Vieira is the valid worldsheet theory description in the asymptotic regime. In this case we find complete agreement, to all orders in wrappings, between the solution of our Y-system and generic quasi-classical string spectrum in AdS 3 × S 1 .

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“…The recent developments on the duality between N = 6 superconformal Chern-Simons theory in three dimensions and superstrings moving on AdS 4 ×P 3 [1,2,3,4,6,7,8,9,10] have prompted the study of superstrings on Osp(N |4) backgrounds [11,12,13,14]. The main issue is of course the integrability of the system and this has been already studied in a series of papers [15,16,17,18,19,20,21,22,23,24,25,26].…”

Section: Introductionmentioning

confidence: 99%

“…On the other side, one would like also to consider the string theory in a framework where all symmetries are manifest and which takes the RR fields of the background properly into account. In [14], the limit for large RR fields is analyzed and it has been shown the relation with a topological model on the Grassmannian Osp( |4)/SO(6) × Sp (4). The exactness of the background is also discussed in [14].…”

Section: Introductionmentioning

confidence: 99%