An Sl(2, Z) multiplet of nine-dimensional type II supergravity theories

Meessen, Patrick; Ortı́n, Tomás

doi:10.1016/s0550-3213(98)00780-9

Cited by 234 publications

(441 citation statements)

References 44 publications

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“…21 Furthermore, as discussed in the other papers of [45], the type-IIB models with fluxes and controlled moduli give the supergravity dual of cascading N = 1 gauge theories, which are confining in the IR. A better understanding of the moduli problem in the type-IIB setup can therefore be used, to understand the dynamics of N = 1 gauge theories.…”

Section: Jhep04(2003)007mentioning

confidence: 89%

“…As discussed in detail in [2,1], and [6], the covariantly constant complex structure (2.18) implies the following important relation between the H field and the metric (in terms of complex coordinates) 21) which is called the torsional constraint. In [6] we showed explicitly, how the background (2.7) satisfies the equations (2.21) (and its complex conjugates).…”

Section: The Torsional Connection and Chern-classmentioning

confidence: 99%

“…Apart from the dilaton, the Kähler moduli and complex structure moduli contribute 1 2 n(n + 1), the anti-symmetric tensor contributes 1 2 n(n − 1) and the sixteen abelian vectors contribute 16n. The action for the moduli fields is given by 21) where the matrix M is given in [30]. If we denote the scalars coming from the Kähler structure and complex structure moduli as σ i , the ones coming from the B field moduli as b i and the ones from the vectors as a i , then one can easily identify…”

Section: Jhep04(2003)007mentioning

confidence: 99%

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Compactifications of heterotic theory on non-Kähler complex manifolds, I

Becker

Dasgupta

et al. 2003

J. High Energy Phys.

205

432

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We study new compactifications of the SO(32) heterotic string theory on compact complex non-Kähler manifolds. These manifolds have many interesting features like fewer moduli, torsional constraints, vanishing Euler character and vanishing first Chern class, which make the four-dimensional theory phenomenologically attractive. We take a particular compact example studied earlier and determine various geometrical properties of it. In particular we calculate the warp factor and study the sigma model description of strings propagating on these backgrounds. The anomaly cancellation condition and enhanced gauge symmetry are shown to arise naturally in this framework, if one considers the effect of singularities carefully.We then give a detailed mathematical analysis of these manifolds and construct a large class of them. The existence of a holomorphic (3,0) form is important for the construction.We clarify some of the topological properties of these manifolds and evaluate the Betti numbers. We also determine the superpotential and argue that the radial modulus of these manifolds can actually be stabilized. Contents

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Section: Jhep04(2003)007mentioning

confidence: 89%

Section: The Torsional Connection and Chern-classmentioning

confidence: 99%

Section: Jhep04(2003)007mentioning

confidence: 99%

See 1 more Smart Citation

Compactifications of heterotic theory on non-Kähler complex manifolds, I

Becker

Dasgupta

et al. 2003

J. High Energy Phys.

205

432

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“…By using the relations between the eleven-dimensional supergravity and nine-dimensional (or S 1 -compactified) type IIB fields [5,6], we have…”

Section: Double Dimensional Reductionmentioning

confidence: 99%

(p,q)-string in the wrapped supermembrane on 2-torus: A classical analysis of the bosonic sector

Okagawa¹,

Uehara²,

Yamada³

2006

Physics Letters B

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“…Here z = x + iy is the complex coordinate parametrizing the two-dimensional transverse space. We have found the following class of 1/2 BPS 7-brane solutions [3,13]:…”

Section: -Branes and The Dw/qft Correspondencementioning

confidence: 99%

Brane Solutions of Gravity-Dilaton-Axion Systems

Bergshoeff

Collinucci²,

Gran³

et al. 2005

AIP Conference Proceedings

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Abstract.We consider general properties of brane solutions of gravity-dilaton-axion systems. We focus on the case of 7-branes and instantons. In both cases we show that besides the standard solutions there are new deformed solutions whose charges take value in any of the three conjugacy classes of SL(2, R). In the case of 7-branes we find that for each conjugacy class the 7-brane solutions are 1/2 BPS. Next, we discuss the relation of the 7-branes with the DW/QFT correspondence. In particular, we show that the two (inequivalent) 7-brane solutions in the SO(2) conjugacy class have a nice interpretation as a distribution of (the so-called near horizon limit of) branes. This suggests a way to define the near-horizon limit of a 7-brane.In the case of instantons only the solutions corresponding to the R conjugacy class are 1/2 BPS. The solutions corresponding to the other two conjugacy classess correspond to non-extremal deformations. We first discuss an alternative description of these solutions as the geodesic motion of a particle in a two-dimensional AdS 2 space. Next, we discuss the instanton-soliton correspondence. In particular, we show that for two of the conjugacy classes the instanton action in D dimensions is given by the mass of the corresponding soliton which is a (non-extremal) black hole solution in D+1 dimension. We speculate on the role of the non-extremal instantons in calculating higher-derivative corrections to the string effective action and, after a generalization from a flat to a curved AdS 5 background, on their role in the AdS/CFT corresopondence.

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An Sl(2, Z) multiplet of nine-dimensional type II supergravity theories

Cited by 234 publications

References 44 publications

Compactifications of heterotic theory on non-Kähler complex manifolds, I

Compactifications of heterotic theory on non-Kähler complex manifolds, I

(p,q)-string in the wrapped supermembrane on 2-torus: A classical analysis of the bosonic sector

Brane Solutions of Gravity-Dilaton-Axion Systems

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