Gauge-String Dualities and some Applications

The Strominger-Yau-Zaslow (SYZ) mirror, in the 'delocalised limit' of Becker et al. (Nucl Phys B 702:207, 2004), of N D3-branes, M fractional D3-branes and N f flavour D7-branes wrapping a non-compact four-cycle in the presence of a black hole (BH) resulting in a non-Kähler resolved warped deformed conifold (NKRWDC) in Mia et al. (Nucl Phys B 839:187, 2010), was carried out in Dhuria and Misra (JHEP 1311(JHEP :001, 2013) and resulted in black M3-branes. There are two parts in our paper. In the first we show that in the 'MQGP' limit discussed in Dhuria and Misra (ii) Assuming the deformation parameter to be larger than the resolution parameter, by estimating the five SU (3) structure torsion (τ ) classes W 1,2,3,4,5 we verify that τ ∈ W 5 in the large-r limit, implying the NKRWDC reduces to a warped Kähler deformed conifold. (iii) The local T 3 of Dhuria and Misra (JHEP 1311(JHEP :001, 2013) in the large-r limit satisfies the same conditions as the maximal T 2 -invariant special Lagrangian three-cycle of T * S 3 of Ionel and Min-OO (J Math 52(3), 2008), partly justifying use of SYZ-mirror symmetry in the 'delocalised limit ' of Becker et al. (Nucl Phys B 702:207, 2004) in Dhuria and Misra (JHEP 1311(JHEP :001, 2013). In the second part of the paper, by either integrating out the angular coordinates of the non-compact four-cycle which a D7-brane wraps around, using the Ouyang embedding, in the DBI action of a D7-brane evaluated at infinite radial boundary, or by dimensionally reducing the 11-dimensional EH action to five (R 1,3 , r ) dimensions and at the infinite radial boundary, we then calculate in particular the g s < ∼ 1 a

show abstract

“…Based on the results of [43] and [44], the five SU (3) structure torsion classes for the resolved warped deformed conifold are given as follows:…”

Section: ) Torsion Classes Of Resolved Warped Deformed Conifoldsmentioning

confidence: 99%

Transport coefficients of black MQGP $$M3$$ M 3 -branes

Dhuria

Misra

2015

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…Therefore, it is conjectured to be dual, in the sense of the AdS/CFT correspondence [5,6,7], to M-theory on AdS 4 × S 7 /Z k . This dual description becomes very useful for N k. Before we discuss the role that M2-branes play in the AdS/CFT correspondence, let us review the correspondence for coincident D3-branes, which in flat space realize the wellknown N = 4 supersymmetric Yang-Mills theory (for reviews see for example [8,9,10,11,12]). The type IIB supergravity background created by a stack of N coincident D3-branes can be written as: As can be seen from the metric, in the "near horizon limit," which corresponds to taking r L, the term h(r) can be approximated by L 4 /r 4 and, therefore, it is easy to see that the geometry of space-time becomes that of AdS 5 × S 5 .…”

Section: Introductionmentioning

confidence: 99%

“…The example we will now consider is when the Calabi-Yau cone is the conifold (reviews on the conifold theory can be found in [12,13]). This case is of interest here because its gauge theory is related to that appearing in the AdS/CFT duality with M2-branes.…”

Section: Introductionmentioning

confidence: 99%

M2-branes and AdS/CFT

Klebanov

2010

Crossing the Boundaries

Self Cite

View full text Add to dashboard Cite

We obtain a simple explicit expression for the hyper-Kähler Calabi metric on the co-tangent bundle of CP n+1 , for all n, in which it is constructed as a metric of cohomogeneity one with SU (n + 2)/U (n) principal orbits. These results enable us to obtain explicit expressions for an L 2-normalisable harmonic 4-form in D = 8, and an L 2-normalisable harmonic 6-form in D = 12. We use the former in order to obtain an explicit resolved M2-brane solution, and we show that this solution is invariant under all three of the supersymmetries associated with the covariantly-constant spinors in the 8-dimensional Calabi metric. We give some discussion of the corresponding dual N = 3 three-dimensional field theory. Various other topics are also addressed, including superpotentials for the Calabi metrics and the metrics of exceptional G 2 and Spin(7) holonomy in D = 7 and D = 8. We also present complex and quaternionic conifold constructions, associated with the cone metrics whose resolutions are provided by the Stenzel T * S n+1 and Calabi T * CP n+1 metrics. In the latter case we relate the construction to the hyper-Kähler quotient. We then use the hyper-Kähler quotient to give a quaternionic rederivation of the Calabi metrics.

show abstract

“…See[10,11] for work that anticipated this result and[12] for a short review with physical motivations and subsequent references 3. Following the approach initiated by Borokhov and Gubser[15].…”

mentioning

confidence: 99%

Remark on the baryonic branch of the warped deformed conifold

Giecold

2012

J. High Energ. Phys.

View full text Add to dashboard Cite

It has recently been suggested that a superpotential for the baryonic branch of the Klebanov-Strassler field theory (KS) should exist for a sector of the dual supergravity fields. In this note we would like to argue that if extended to cover the whole set of supergravity fields a would-be superpotential does not have a perturbative expansion around the known KS superpotential. Since the family of supergravity duals to the baryonic branch is an expansion around the warped deformed conifold, our argument most likely indicates that there is no such superpotential, and hints that some oneparameter supersymmetric solutions do not arise from BPS flow equations.

show abstract

Gauge-String Dualities and some Applications

Cited by 13 publications

References 175 publications

Transport coefficients of black MQGP $$M3$$ M 3 -branes

Transport coefficients of black MQGP $$M3$$ M 3 -branes

M2-branes and AdS/CFT

Remark on the baryonic branch of the warped deformed conifold

Contact Info

Product

Resources

About