Boundary conditions and dualities: vector fields in AdS/CFT

Marolf, Donald; Ross, Simon F.

doi:10.1088/1126-6708/2006/11/085

Cited by 168 publications

(294 citation statements)

References 50 publications

(120 reference statements)

Supporting

Mentioning

282

Contrasting

Order By: Relevance

“…The variational principle for scalar and Maxwell fields have been studied in [18,[24][25][26]. Here we review them following [18] to have a fresh look on the problems.…”

Section: Scalar or Vector Variationmentioning

confidence: 99%

See 1 more Smart Citation

Holographic renormalization of Einstein-Maxwell-Dilaton theories

Kim

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

We generalize the boundary value problem with a mixed boundary condition that involves the gauge and scalar fields in the context of Einstein-Maxwell-Dilaton theories. In particular, the expectation value of the dual scalar operator can be a function of the expectation value of the current operator. The properties are prevalent in a fixed charge ensemble because the conserved charge is shared by both fields through the dilaton coupling, which is also responsible for non-Fermi liquid properties. We study the on-shell action and the stress energy tensor to note practical importances of the boundary value problem. In the presence of the scalar fields, physical quantities are not fully fixed due to the finite boundary terms that manifest in the massless scalar or the scalar with mass saturating the Breitenlohner-Freedman bound.

show abstract

“…The variational principle for scalar and Maxwell fields have been studied in [18,[24][25][26]. Here we review them following [18] to have a fresh look on the problems.…”

Section: Scalar or Vector Variationmentioning

confidence: 99%

“…Here we review them following [18] to have a fresh look on the problems. The variation of the canonically conjugate scalar kinetic term contains the boundary contribution…”

Section: Scalar or Vector Variationmentioning

confidence: 99%

Holographic renormalization of Einstein-Maxwell-Dilaton theories

Kim

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…We can see this by examining the list of allowed multiplets of the four-dimensional N = 2 superconformal algebra [24][25][26][27][28], in which there is no superconformal multiplet including a vector operator with a dimension that continuously goes down to the conserved current dimension ∆ = 3, without containing also additional conserved currents of higher spins. 13 Indeed, there are several loose points in the expectation that such an enhanced SU(K) gauge symmetry should arise. First, even if such an enhanced symmetry were to appear when the five-dimensional SU(K) gauge theory is weakly coupled, R S 1 R AdS 5 , supersymmetric field theories on AdS 5 can undergo phase transitions as the coupling constants are dialed (see [8] for a recent discussion), and there is no argument that the enhanced symmetry would survive at the strong coupling regime, where R S 1 R AdS 5 .…”

Section: Jhep03(2015)121mentioning

confidence: 99%

“…A second problem is that it is usually stated in the AdS/CFT correspondence that there is only a single allowed boundary condition for five-dimensional gauge fields on AdS 5 [13], which is the one leading to a global symmetry in the dual four-dimensional CFT. Here we claim that we can choose another boundary condition for our five-dimensional SU(K) gauge theory on AdS 5 , which does not lead to a global symmetry, but rather couples it to a four-dimensional SU(K) gauge theory living on the boundary of AdS 5 .…”

Section: Second Problem: Boundary Condition For the Bulk Gauge Fieldsmentioning

confidence: 99%

Rigid holography and six-dimensional N = 2 0 $$ \mathcal{N}=\left(2,0\right) $$ theories on AdS5 × S $$ \mathbb{S} $$ 1

Aharony

Berkooz

Rey

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

Field theories on anti-de Sitter (AdS) space can be studied by realizing them as low-energy limits of AdS vacua of string/M theory. In an appropriate limit, the field theories decouple from the rest of string/M theory. Since these vacua are dual to conformal field theories, this relates some of the observables of these field theories on AdS space to a subsector of the dual conformal field theories. We exemplify this 'rigid holography' by studying in detail the six-dimensional N = (2, 0) A K−1 superconformal field theory (SCFT) on AdS 5 ×S 1 , with equal radii for AdS 5 and for S 1 . We choose specific boundary conditions preserving sixteen supercharges that arise when this theory is embedded into Type IIB string theory on AdS 5 × S 5 /Z K . On R 4,1 × S 1 , this six-dimensional theory has a 5(K − 1)-dimensional moduli space, with unbroken five-dimensional SU(K) gauge symmetry at (and only at) the origin. On AdS 5 × S 1 , the theory has a 2(K − 1)-dimensional 'moduli space' of supersymmetric configurations. We argue that in this case the SU(K) gauge symmetry is unbroken everywhere in the 'moduli space' and that this five-dimensional gauge theory is coupled to a four-dimensional theory on the boundary of AdS 5 whose coupling constants depend on the 'moduli'. This involves non-standard boundary conditions for the gauge fields on AdS 5 . Near the origin of the 'moduli space', the theory on the boundary contains a weakly coupled four-dimensional N = 2 supersymmetric SU(K) gauge theory. We show that this implies large corrections to the metric on the 'moduli space'. The embedding in string theory implies that the six-dimensional N = (2, 0) theory on AdS 5 × S 1 with sources on the boundary is a subsector of the large N limit of various four-dimensional N = 2 JHEP03(2015)121quiver SCFTs that remains non-trivial in the large N limit. The same subsector appears universally in many different four-dimensional N = 2 SCFTs. We also discuss a decoupling limit that leads to N = (2, 0) 'little string theories' on AdS 5 × S 1 .

show abstract

“…There is an answer for this, first proposed for scalar operators [8], and generalized to global symmetry currents [9,10]. Suppose we perturb by a general polynomial of a single trace operator O,…”

Section: Introductionmentioning

confidence: 99%

Weak-interacting holographic QCD

Gazit

Yee

2008

Physics Letters B

View full text Add to dashboard Cite

We propose a simple prescription for including low-energy weak-interactions into the framework of holographic QCD, based on the standard AdS/CFT dictionary of double-trace deformations.As our proposal enables us to calculate various electro-weak observables involving strongly coupled QCD, it opens a new perspective on phenomenological applications of holographic QCD. We illustrate efficiency and usefulness of our method by performing a few exemplar calculations; neutron beta decay, charged pion weak decay, and meson-nucleon parity non-conserving (PNC) couplings.The idea is general enough to be implemented in both Sakai-Sugimoto as well as Hard/Soft Wall models.

show abstract

Boundary conditions and dualities: vector fields in AdS/CFT

Cited by 168 publications

References 50 publications

Holographic renormalization of Einstein-Maxwell-Dilaton theories

Holographic renormalization of Einstein-Maxwell-Dilaton theories

Rigid holography and six-dimensional N = 2 0 $$ \mathcal{N}=\left(2,0\right) $$ theories on AdS5 × S $$ \mathbb{S} $$ 1

Weak-interacting holographic QCD

Contact Info

Product

Resources

About