New string vacua from twistor spaces

Tomasiello, Alessandro

doi:10.1103/physrevd.78.046007

Cited by 77 publications

(187 citation statements)

References 59 publications

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“…As we have seen in section 2.1, the same is true for the more recent vacua of the type of [2]. These include the explicit examples of [11,12]; the exhaustive list of explicit examples known to date can be found in [13].…”

Section: Discussionmentioning

confidence: 73%

Supersymmetric AdS vacua and separation of scales

Tsimpis

2012

J. High Energ. Phys.

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The moduli space of the supersymmetric massive IIA AdS 4 × S 2 (B 4 ) vacua, where S 2 (B 4 ) is a two-sphere bundle over a four-dimensional Kähler-Einstein base B 4 , includes three independent parameters which can be thought of as corresponding to the sizes of AdS 4 , B 4 and the S 2 fiber. It might therefore be expected that these vacua do not suffer from the absence of scale separation. We show that the independence of the geometric moduli survives flux quantization. However, we uncover an attractor behavior whereby all sizes flow to equality in some neighborhood of spacetime independently of the initial conditions set by the parameters of the solution. This is further confirmed by the study of the ratio of internal to external scalar curvatures. We also show that the asymptotic Kaluza-Klein spectrum of a ten-dimensional massive scalar is governed by a scale of the order of the AdS 4 radius. Furthermore we point out that the curvature ratio in supersymmetric IIA AdS 4 vacua with rigid SU(3) structure is of order one, indicating the absence of scale separation in this large class of vacua.

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Section: Discussionmentioning

confidence: 73%

Supersymmetric AdS vacua and separation of scales

Tsimpis

2012

J. High Energ. Phys.

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“…Such manifolds are important examples of SU (3)-structure manifolds used in flux compactifications of string theories (see e.g. [17,23] and references therein). Their geometry is fairly rigid and features a 3-symmetry, which generalizes the reflection symmetry of symmetric spaces.…”

Section: Invariant Gauge Fields On Homogeneous G 2 -Manifoldsmentioning

confidence: 99%

“…The last two kinds of manifolds carry a natural almost complex structure which is not integrable (for their geometry see e.g. [16,17] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Yang-Mills instantons and dyons on homogeneous G 2-manifolds

Bauer

Иванова²,

Lechtenfeld

et al. 2010

J. High Energ. Phys.

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We consider LieG-valued Yang-Mills fields on the space R×G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold R×G/H carries a G 2 -structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on R×G/H is reduced to Newtonian mechanics of a particle moving in R 6 , R 4 or R 2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U (1) or G 2 /SU (3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S 1 ×G/H and dyons on iR×G/H are also given.

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“…1 For further motivations and results on the AdS4 × CP 3 from a supergravity point of view, see also [10].…”

Section: Introductionmentioning

confidence: 99%

Exploring pure spinor string theory onAdS₄× ℂℙ³

Bonelli

Grassi

Safaai

2008

J. High Energy Phys.

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In this paper we formulate the pure spinor superstring theory on AdS 4 × CP 3 . By recasting the pure spinor action as a topological A-model on the fermionic supercoset Osp(6|4)/SO(6) × Sp(4) plus a BRST exact term, we prove the exactness of the σmodel. We then give a gauged linear σ-model which reduces to the superstring in the limit of large volume and we study its branch geometry in different phases. Moreover, we discuss possible D-brane boundary conditions and the principal chiral model for the fermionic supercoset.

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New string vacua from twistor spaces

Cited by 77 publications

References 59 publications

Supersymmetric AdS vacua and separation of scales

Supersymmetric AdS vacua and separation of scales

Yang-Mills instantons and dyons on homogeneous G 2-manifolds

Exploring pure spinor string theory onAdS₄× ℂℙ³

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New string vacua from twistor spaces

Cited by 77 publications

References 59 publications

Supersymmetric AdS vacua and separation of scales

Supersymmetric AdS vacua and separation of scales

Yang-Mills instantons and dyons on homogeneous G 2-manifolds

Exploring pure spinor string theory onAdS4× ℂℙ3

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Exploring pure spinor string theory onAdS₄× ℂℙ³