Gauge-gravity dualities, dipoles and new non-Kähler manifolds

Dasgupta, Keshav; Grisaru, Marcus T.; Gwyn, Rhiannon; Katz, Sheldon; Knauf, Anke; Tǎtar, Radu

doi:10.1016/j.nuclphysb.2006.07.026

Cited by 30 publications

(84 citation statements)

References 126 publications

(346 reference statements)

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“…with f 1 defined in region A (which from Eq (2.29) of [37] is a power expansion in θ 1 , the local angular coordinate appearing in Eq. (4.2)) 13 , and the relevant line element in region A can now be easily determined because we can solve the set of equations (4.35) in terms of a 0 and b 0 to give us:…”

Section: Construction Of Defectsmentioning

confidence: 99%

Lumps in the throat

Dasgupta

Firouzjahi

Gwyn

2007

J. High Energy Phys.

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We study classical lump solutions in a warped throat where brane inflation takes place. Some of the solitonic or lump solutions that we study here are the (p, q) cosmic strings and their junctions, cosmic necklaces and semi-local strings and generic semi-local defects. We show how various wrapping modes of D3-branes may be used to study all these defects in one interpolating set-up. Our construction allows us to study (p, q)-string junctions in curved backgrounds and in the presence of non-trivial RR fluxes. We extend the junction construction to allow for the possibility of cosmic necklaces, and show how these new lump solutions form a consistent picture in the inflationary brane models. We also give a generic construction of semi-local defects in these backgrounds, and argue that our construction encompasses all possible constructions of semi-local defects with any global symmetries. The cosmological implications of these configurations are briefly studied.

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Section: Construction Of Defectsmentioning

confidence: 99%

Lumps in the throat

Dasgupta

Firouzjahi

Gwyn

2007

J. High Energy Phys.

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“…In our earlier paper [18], we discussed a set-up in type IIB where N D5 branes and some local and non-local seven branes wrap a two-cycle of some non-trivial global geometry, giving rise to N = 1 gauge theory with fundamental flavors. This is basically the gaugegravity scenario, where the gravity dual is given by another geometry with at least one topological non-trivial three-cycle on which we allow three-form H RR fluxes and one noncompact three-cycle on which we have three-form H NS fluxes.…”

Section: N = 1 Bound State Metricmentioning

confidence: 99%

“…The geometries are conformally Kähler on both sides, but full global metrics are not known. However, the precise local geometries on any given patch are determined in [17], [21], [16] and [18] up to possible subtleties mentioned therein.…”

Section: N = 1 Bound State Metricmentioning

confidence: 99%

“…is not a matter of concern because we will only have a description on a given patch once we go to a more involved scenario [17], [16], [18].…”

Section: )mentioning

confidence: 99%

“…Recall that our coordinates (r 1 , z, x, y, θ i ) are local, and thus the metric (2.24) is only for a local patch (see discussions in [18]). …”

Section: Bound States In a Non-trivial Topologymentioning

confidence: 99%

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Dipole-deformed bound states and heterotic Kodaira surfaces

et al. 2007

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We study a particular N = 1 confining gauge theory with fundamental flavors realised as seven branes in the background of wrapped five branes on a rigid two-cycle of a non-trivial global geometry. In parts of the moduli space, the five branes form bound states with the seven branes. We show that in this regime the local supergravity solution is surprisingly tractable, even though the background topology is non-trivial. New effects such as dipole deformations may be studied in detail, including the full backreactions. Performing the dipole deformations in other ways leads to different warped local geometries. In the dual heterotic picture, which is locally given by a C * fibration over a Kodaira surface, we study details of the geometry and the construction of bundles. We also point out the existence of certain exotic bundles in our framework.

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Geometric transitions on non‐Kähler manifolds

Knauf

2006

Fortschritte der Physik

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This article is based on the publications [1,2,3] and the author's PhD-thesis. We study geometric transitions on the supergravity level using the basic idea of [1], where a pair of nonKähler backgrounds was constructed, which are related by a geometric transition. Here we embed this idea into an orientifold setup as suggested in [3]. The non-Kähler backgrounds we obtain in type IIA are non-trivially fibered due to their construction from IIB via T-duality with Neveu-Schwarz flux. We demonstrate that these non-Kähler manifolds are not half-flat and show that a symplectic structure exists on them at least locally. We also review the construction of new non-Kähler backgrounds in type I and heterotic theory as proposed in [2]. They are found by a series of T-and S-duality and can be argued to be related by geometric transitions as well. A local toy model is provided that fulfills the flux equations of motion in IIB and the torsional relation in heterotic theory, and that is consistent with the U-duality relating both theories. For the heterotic theory we also propose a global solution that fulfills the torsional relation because it is similar to the Maldacena-Nunez background.

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Gauge-gravity dualities, dipoles and new non-Kähler manifolds

Cited by 30 publications

References 126 publications

Lumps in the throat

Lumps in the throat

Dipole-deformed bound states and heterotic Kodaira surfaces

Geometric transitions on non‐Kähler manifolds

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