Baryon Spectra and AdS/CFT Correspondence

By D. Berenstein, Christopher P. Herzog, I. Klebanov. 2002

180 citations recorded by the source corpus.

We provide a detailed map between wrapped D3-branes in Anti-de Sitter (AdS) backgrounds and dibaryon operators in the corresponding conformal field theory (CFT). The effective five dimensional action governing the dynamics of AdS space contains a U(1)R gauge field that mediates interactions between objects possessing R-charge. We show that the U(1)R charge of these wrapped D3-branes as measured by the gauge field matches the R-charge of the dibaryons expected from field theory considerations. We are able, through a careful probe brane calculation in an AdS5 × T1,1 background, to understand the exact relation between the mass of the wrapped D3-brane and the dimension of the corresponding dibaryon. We also make some steps toward matching the counting of dibaryon operators in the CFT with the ground states of a supersymmetric quantum mechanical system whose target space is the moduli space of D-branes. Finally, we discuss BPS excitations of the D3-brane and compare them with higher dimension operators in the CFT.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b9c60fd563e93c9bc8c741b89faeb9d2f6b33b21

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In Geometry and Topology

1. Alberto Zaffaroni
2. A. Hanany
3. J. Sparks
4. D. Martelli
5. F. Benini
6. S. Benvenuti
7. S. Franco
8. David Vegh

In Nuclear and High Energy Physics

1. D. Martelli
2. S. Hartnoll
3. S. Sachdev
4. Alberto Zaffaroni
5. R. Myers
6. F. Benini
7. J. Maldacena
8. T. Takayanagi

Citations in the corpus

• Toric Geometry, Sasaki–Einstein Manifolds and a New Infinite Class of AdS/CFT Duals (2004, background): “Recall that D3-branes wrapped over the horizon 3-cycles are dual to baryons in theAdS/CFT correspondence [24, 25].”
• Gauged supergravity from type IIB string theory on Yp, q manifolds (2006, background): “metric, the ansatz (2.5), (2.6) appeared previously in [ 32 ].”
• Open Strings from N=4 Super Yang-Mills (2002, methodology): “There is some issue as to whether multiple less-than-maximal giant gravitons are described by a product of subdeterminant operators or by a sudeterminant of products (see [13, 14, 19]).”
• An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals (2004, background): “Taking the product of two different consecutive dibaryons it is possible to get rid of the two ε–symbols corresponding to the same gauge group [31].”
• Meson spectroscopy from holomorphic probes on the warped deformed conifold (2004, background): “Following the ideas of [27], [28] it was argued in [23] that D3 branes wrapping 3-cycles of T1,1 are dual to dibaryon operators in the gauge theory (see also [29],[30],[31]).”
• Cosmic F- and D-strings (2003, background): “This is a localized particle in four dimensions, which we refer to loosely as a baryon, because this is the role it plays in gauge/string duality [18].”
• Gauge theories from toric geometry and brane tilings (2005, methodology): “This formula has been used in many AdS/CFT calculations to compare the R–charges of dibaryons with their corresponding 3–manifolds [53, 54, 55, 56].”
• Quantum critical transport, duality, and M-theory (2007, methodology): “In [75], the relation between ψ and A was fixed by setting the R-charge of a holomorphic four-form associated to the cone over X to two.”
• Baryons from instantons in holographic QCD (2007, unknown): “For further studies of baryons in the AdS/CFT or AdS/QCD, see [23, 24, 25, 26, 27, 28].”
• D-branes in Yang-Mills theory and emergent gauge symmetry (2004, unknown): “To describe two D-branes in AdS, following [8] we must excite two eigenvalues: φ ∼ A1 0 0 . . . 0 A2 0 . . . 0 0 0 . . . ... ... ... . . . (8) breaking the symmetry down to U(1)×U(1)×SU(N − 2) The branes are coincident in this semiclassical description if A1 = A2 so that U(1) × U(1) is enhanced…”
• An Index for 4 Dimensional Super Conformal Theories (2005, background): “In order to compute the charge under the U(1) gauge field that performs translations in ψ we need know to how many times this curve wraps the CP 1 inside CP 2 [41,42].”
• PP wave limit and enhanced supersymmetry in gauge theories (2002, background): “Such operators and their excitations may therefore be relevant to generalization of the BMN construction to D-branes and open strings [14].”
• Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “For the |aa〉 strings replace one A1, by a composite word with the same index structure, and no A1 on the beginning or end [57]: such operators can be factorized into a trace times the dybaryon.”
• Chiral flavors and M2-branes at toric CY4 singularities (2009, background): “A time-filling D3-brane wrapped on the 3-cycle which is the radial section of the toric divisor (such embedding is supersymmetric) corresponds to a dibaryonic operator X η [51, 44, 52].”
• New checks and subtleties for AdS/CFT and a-maximization (2004, background): “In fact, D3-branes wrapped on supersymmetric three-cycles ΣA in the dual geometry correspond to baryons whose R-charge is proportional to the volumes of such three-cycles via the holographic relation [8, 9] R(BA) = π 3 V (ΣA) V (X5) N .”