Non-supersymmetric meta-stable vacua from brane configurations

Franco, Sebastián; García-Etxebarria, Iñaki; Uranga, Ángel M.

doi:10.1088/1126-6708/2007/01/085

Cited by 103 publications

(234 citation statements)

References 38 publications

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“…Note: While this paper was being prepared for publication, two papers which explore the SUSY-breaking brane configuration appeared [20,21]. These results overlap with parts of section 2 of our paper.…”

Section: Introductionsupporting

confidence: 73%

See 1 more Smart Citation

A note on (meta)stable brane configurations in MQCD

Bena¹,

Hellerman²,

Seiberg³

et al. 2006

J. High Energy Phys.

108

292

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We examine the M-theory version of SQCD which is known as MQCD. In the IIA limit, this theory appears to have a supersymmetry-breaking brane configuration which corresponds to the meta-stable state of N = 1 SU (N c ) SQCD. However, the behavior at infinity of this non-supersymmetric brane construction differs from that of the supersymmetric ground state of MQCD. We interpret this to mean that it is not a meta-stable state in MQCD, but rather a state in another theory. This provides a concrete example of the fact that, while MQCD accurately describes the supersymmetric features of SCQD, it fails to reproduce its non-supersymmetric features (such as meta-stable states) not only quantitatively but also qualitatively.

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Section: Introductionsupporting

confidence: 73%

“…These results overlap with parts of section 2 of our paper. The authors of [21] also propose a lift of this brane configuration to M-theory, which, as we discuss in more detail in section 3, has different boundary conditions and hence is not a meta-stable MQCD state.…”

Section: Introductionmentioning

confidence: 99%

A note on (meta)stable brane configurations in MQCD

Bena¹,

Hellerman²,

Seiberg³

et al. 2006

J. High Energy Phys.

108

292

View full text Add to dashboard Cite

show abstract

“…A nice way to achieve this is to use the fact that the net F 5 form flux leaking off at infinity, being a topological quantity, has to be kept constant as we vary the moduli. It is easy to show that we can write 16) and the left hand side must be constant for the reason we explained. Since it is a constant we can subtract it from the potential and define…”

Section: Adding Fluxmentioning

confidence: 99%

“…From a phenomenological point of view this possibility is quite attractive, and a lot of activity has been concentrated around extensions of the ISS model and various related string theory constructions [13,14,15,16,17,18,19,20,21,22] (see also [23]). A certain class of gauge theories where supersymmetry breaking in metastable vacua can be studied with good control is that of N = 2 gauge theories perturbed by a small superpotential, initiated by [24].…”

Section: Introductionmentioning

confidence: 99%

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Hollands¹,

Marsano²,

Papadodimas³

et al. 2008

J. High Energy Phys.

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We geometrically engineer N = 2 theories perturbed by a superpotential by adding 3-form flux with support at infinity to local Calabi-Yau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park [arXiv:0704.3613] to demonstrate that, by tuning the flux at infinity, we can stabilize the dynamical complex structure moduli in a metastable, supersymmetry-breaking configuration. Moreover, we argue that this setup can arise naturally as a limit of a larger Calabi-Yau which separates into two weakly interacting regions; the flux in one region leaks into the other, where it appears to be supported at infinity and induces the desired superpotential. In our endeavor to confirm this picture in cases with many 3-cycles, we also compute the CIV-DV prepotential for arbitrary number of cuts up to fifth order in the glueball fields.

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“…Similarly, RR 2-form through the 2-cycle c pq , 11) corresponds to the distance between the NS5-branes in the x 10 direction, when lifted to Mtheory. 58 In an equation, the relation between the 2-forms in IIB and the relative position of NS5-branes in IIA is…”

Section: B T-duality Between Iib 2-forms and Iia Ns5 Positionmentioning

confidence: 99%

Nonsupersymmetric brane/antibrane configurations in type IIA and M theory

2008

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We study metastable nonsupersymmetric configurations in type IIA string theory, obtained by suspending D4-branes and D4-branes between holomorphically curved NS5's, which are related to those of hep-th/0610249 by T -duality. When the numbers of branes and antibranes are the same, we are able to obtain an exact M theory lift which can be used to reliably describe the vacuum configuration as a curved NS5 with dissolved RR flux for g s ≪ 1 and as a curved M5 for g s ≫ 1. When our weakly coupled description is reliable, it is related by T -duality to the deformed IIB geometry with flux of hep-th/0610249 with moduli exactly minimizing the potential derived therein using special geometry. Moreover, we can use a direct analysis of the action to argue that this agreement must also hold for the more general brane/antibrane configurations of hep-th/0610249. On the other hand, when our strongly coupled description is reliable, the M5 wraps a nonholomorphic minimal area curve that can exhibit quite different properties, suggesting that the residual structure remaining after spontaneous breaking of supersymmetry at tree level can be further broken by the effects of string interactions. Finally, we discuss the boundary condition issues raised in hep-th/0608157 for nonsupersymmetric IIA configurations, their implications for our setup, and their realization on the type IIB side.

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Non-supersymmetric meta-stable vacua from brane configurations

Cited by 103 publications

References 38 publications

A note on (meta)stable brane configurations in MQCD

A note on (meta)stable brane configurations in MQCD

Nonsupersymmetric flux vacua and perturbed 𝒩 = 2 systems

Nonsupersymmetric brane/antibrane configurations in type IIA and M theory

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