The holographic Weyl anomaly

Henningson, Måns; Skenderis, Kostas

doi:10.1088/1126-6708/1998/07/023

Cited by 1,669 publications

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“…These operators are annihilated by half of the supersymmetry generators. Another beautiful test of the AdS/CFT correspondence is the calculation of the conformal trace anomaly of N = 4 theory from AdS 5 × S 5 supergravity [44].…”

Section: Ads/cft Correspondencementioning

confidence: 99%

Mesons in gauge/gravity duals

et al. 2008

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Abstract. We review recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence. Our main focus is on the "top-down approach" of considering models constructed within string theory. We explain the stringtheoretical constructions in detail, aiming at non-specialists. These give rise to a new way of describing strongly coupled confining large-N gauge theories similar to large-N QCD. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry breaking, and compare with lattice results. A further topic covered is the behaviour of flavour bound states in finite-temperature field theories dual to a gravity background involving a black hole. We also describe the "bottom up" phenomenological approach to mesons within AdS/QCD. Some previously unpublished results are also included.PACS. 11.15.-q Gauge field theories -11.25.Tq Gauge/string duality -12.40.Yx Hadron mass models and calculations -14.40.-n Mesons

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Section: Ads/cft Correspondencementioning

confidence: 99%

Mesons in gauge/gravity duals

et al. 2008

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“…3 We recall that the traces of the R-current, trR and trR 3 , are by definition fermionic traces coming from the triangle anomalies of the R-symmetry current with the energymomentum tensor < RT T > or with itself < RRR >, respectively. For trR α (α is a positive integer, we will need α = 1 or α = 3) there are thus contributions from the gauginos (carrying r-charge 1) and from the fermionic components of the chiral superfields in the representation R M (with r-charge r M and dimension dim[R M ]):…”

Section: Superconformal Quiver Implies C = Amentioning

confidence: 99%

New results on superconformal quivers

Benvenuti¹,

Hanany²

2006

J. High Energy Phys.

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All superconformal quivers are shown to satisfy the relation c = a and are thus good candidates for being the field theory living on D3 branes probing CY singularities. We systematically study 3 block and 4 block chiral quivers which admit a superconformal fixed point of the RG equation. Most of these theories are known to arise as living on D3 branes at a singular CY manifold, namely complex cones over del Pezzo surfaces. In the process we find a procedure of getting a new superconformal quiver from a known one. This procedure is termed "shrinking" and, in the 3 block case, leads to the discovery of two new models. Thus, the number of superconformal 3 block quivers is 16 rather than the previously known 14. We prove that this list exausts all the possibilities. We suggest that all rank 2 chiral quivers are either del Pezzo quivers or can be obtained by shrinking a del Pezzo quiver and verify this statement for all 4 block quivers, where a lot of "shrunk" del Pezzo models exist.

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“…Instead we will check that for the first non-trivial case (3) g when three Bach tensors are present, their coefficients are completely fixed.…”

Section: The Solution Of the Pbh Equations For (3) Gmentioning

confidence: 99%

Universal features of holographic anomalies

Schwimmer

Theisen

2003

J. High Energy Phys.

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We study the mechanism by which gravitational actions reproduce the trace anomalies of the holographically related conformal field theories. Two universal features emerge: a) the ratios of type B trace anomalies in any even dimension are independent of the gravitational action being uniquely determined by the underlying algebraic structure b) the normalization of the type A and the overall normalization of the type B anomalies are given by action dependent expressions with the dimension dependence completely fixed.

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The holographic Weyl anomaly

Cited by 1,669 publications

References 28 publications

Mesons in gauge/gravity duals

Mesons in gauge/gravity duals

New results on superconformal quivers

Universal features of holographic anomalies

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