On supersymmetry breaking in string theory from gauge theory in a throat

Murthy, Sameer

doi:10.1088/1126-6708/2007/08/013

Cited by 15 publications

(21 citation statements)

References 44 publications

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“…Moreover this also leads to an alteration in the definition of the ξ a (6). Alternatively one might choose to redefine the radial coordinate after having derived the equations of motion (7) and (8) in which case the only transformation comes from the derivative with respect to the radial coordinate so essentially the other terms just get a multiplicative factor of (∂τ /∂τ ) −1 . Of course both such redefinitions are completely legitimate, however they are not equivalent since the latter does not alter the definition of the ξ a .…”

Section: Papadopoulos-tseytlin Ansatz For the Perturbationmentioning

confidence: 99%

“…Setting those to zero and demanding the coefficient of the odd terms to be proportional to those in the Green's function (38) implies certain conditions on the integration constants (X 1 = 0, X 5 = −X 6 = X 7 ), which are actually weaker than (37). It is interesting to note that all BPS solutions of (7,8) have ISD three-form fluxes since for supersymmetric solutions all the ξ's vanish. If one relaxes the Z 2 symmetry in the PT ansatz then there exist BPS solutions with non-ISD flux [25,26].…”

Section: Imaginary (Anti)-self Duality Of the Three Form Fluxmentioning

confidence: 99%

“…They should not be confused with zero and first order in perturbation theory (they are both first order). 8 In general, if for a given expression to be integrated in the IR there are negative powers of τ showing up in the expansion, we subtract the infinite contribution from the lower limit of the integral, namely we replace…”

Section: Solution For X 1 = 0 Uv and Ir Expansionsmentioning

confidence: 99%

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On the existence of meta-stable vacua in Klebanov-Strassler

Bena

Graña

Halmagyi

2010

J. High Energ. Phys.

181

406

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We solve for the complete space of linearized deformations of the KlebanovStrassler background consistent with the symmetries preserved by a stack of anti-D3 branes smeared on the S 3 of the deformed conifold. We find that the only solution whose UV physics is consistent with that of a perturbation produced by anti-D3 branes must have a singularity in the infrared, coming from NS and RR three-form field strengths whose energy density diverges. If this singularity is admissible, our solution describes the backreaction of the anti-D3 branes, and is thus likely to be dual to the conjectured metastable vacuum in the Klebanov-Strassler field theory. If this singularity is not admissible, then our analysis strongly suggests that anti-D3 branes do not give rise to metastable Klebanov-Strassler vacua, which would have dramatic consequences for some string theory constructions of de Sitter space. Key to this result is a simple, universal form for the force on a probe D3-brane in our ansatz.

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Section: Papadopoulos-tseytlin Ansatz For the Perturbationmentioning

confidence: 99%

Section: Imaginary (Anti)-self Duality Of the Three Form Fluxmentioning

confidence: 99%

Section: Solution For X 1 = 0 Uv and Ir Expansionsmentioning

confidence: 99%

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On the existence of meta-stable vacua in Klebanov-Strassler

Bena

Graña

Halmagyi

2010

J. High Energ. Phys.

181

406

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“…26 This system has two complex moduli corresponding to the holomorphic volumes of the compact S 3 's 25) which can in turn be related to the complex deformation parameters f 0 and f 1 , though we do not do it explicitly here. Introducing the B-period Π i and period matrixτ ij as usual…”

Section: A 1 Theory With Cubic Superpotential -Iibmentioning

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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“…In the simplifying limits of sections 3 and 4, though, this question is easier to address and translates into the matter of local stability in the corresponding field theory potentials. 24 Of course, as discussed earlier in this section we will have to suitably relax this constraint later when looking for nonsupersymmetric solutions. To summarize, the problem we have to solve is to find meromorphic functions v H/A , w H/A , s H/A on a (punctured) Riemann surface Σ, satisfying the Virasoro constraint (6.7) and such that the embedding functions (6.6) have the monodromies (6.8), (6.9), and correct boundary conditions (6.10).…”

Section: The Minimal Area Problemmentioning

confidence: 99%

Off-shell M5 brane, perturbed Seiberg–Witten theory, and metastable vacua

2008

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We demonstrate that, in an appropriate limit, the off-shell M5-brane worldvolume action effectively captures the scalar potential of Seiberg-Witten theory perturbed by a small superpotential and, consequently, any nonsupersymmetric vacua that it describes. This happens in a similar manner to the emergence from M5's of the scalar potential describing certain type IIB flux configurations [1]. We then construct exact nonholomorphic M5 configurations in the special case of SU(2) Seiberg-Witten theory deformed by a degree six superpotential which correspond to the recently discovered metastable vacua of Ooguri, Ookouchi, Park [2], and Pastras [3]. These solutions take the approximate form of a holomorphic Seiberg-Witten geometry with harmonic embedding along a transverse direction and allow us to obtain geometric intuition for local stability of the gauge theory vacua. As usual, dynamical processes in the gauge theory, such as the decay of nonsupersymmetric vacua, take on a different character in the M5 description which, due to issues of boundary conditions, typically involves runaway behavior in MQCD.

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On supersymmetry breaking in string theory from gauge theory in a throat

Cited by 15 publications

References 44 publications

On the existence of meta-stable vacua in Klebanov-Strassler

On the existence of meta-stable vacua in Klebanov-Strassler

Nonsupersymmetric brane/antibrane configurations in type IIA and M theory

Off-shell M5 brane, perturbed Seiberg–Witten theory, and metastable vacua

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