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146
On the spectrum of AdS/CFT beyond supergravity
 JHEP
"... We test the spectrum of string theory on AdS5 × S 5 derived in hepth/0305052 against that of singletrace gauge invariant operators in free N = 4 super YangMills theory. Masses of string excitations at critical tension are derived by extrapolating planewave frequencies at g YM = 0 down to finite ..."
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We test the spectrum of string theory on AdS5 × S 5 derived in hepth/0305052 against that of singletrace gauge invariant operators in free N = 4 super YangMills theory. Masses of string excitations at critical tension are derived by extrapolating planewave frequencies at g YM = 0 down to finite J. On the SYM side, we present a systematic description of the spectrum of singletrace operators and its reduction to PSU(2,24) superconformal primaries via a refined Eratostenes ’ supersieve. We perform the comparison of the resulting SYM/string spectra of charges and multiplicities order by order in the conformal dimension ∆ up to ∆ = 10 and find perfect agreement. Interestingly, the SYM/string massive spectrum exhibits a hidden symmetry structure larger than expected, with bosonic subgroup SO(10,2) and thirtytwo supercharges.
The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus
, 2009
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On low rank classical groups in string theory, gauge theory and matrix models,” Nucl
 Phys. B
, 2004
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Baryonic branches and resolutions of Ricciflat Kähler cones
, 2007
"... We study deformations of N = 1 superconformal field theories that are AdS/CFT dual to Type IIB string theory on SasakiEinstein manifolds, characterised by nonzero vacuum expectation values for certain baryonic operators. Generally, such baryonic branches are constructed from (partially) resolved, ..."
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Cited by 22 (7 self)
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We study deformations of N = 1 superconformal field theories that are AdS/CFT dual to Type IIB string theory on SasakiEinstein manifolds, characterised by nonzero vacuum expectation values for certain baryonic operators. Generally, such baryonic branches are constructed from (partially) resolved, asymptotically conical Ricciflat Kähler manifolds, together with a choice of point where the stack of D3branes is placed. The complete solution then describes a renormalisation group flow between two AdS fixed points. We also discuss the use of probe Euclidean D3branes in these backgrounds as a means to compute expectation values of baryonic operators. The Y p,q theories are used as illustrative examples throughout the paper.
Penrose Limits of Orbifolds and Orientifolds
, 2002
"... We study the Penrose limit of various AdSp × S q orbifolds. The limiting spaces are waves with parallel rays and singular wave fronts. In particular, we consider the orbifolds AdS3 × S 3 /Γ, AdS5 × S 5 /Γ and AdS4,7 × S 7,4 /Γ where Γ acts on the sphere and/or the AdS factor. In the ppwave limit th ..."
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Cited by 21 (0 self)
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We study the Penrose limit of various AdSp × S q orbifolds. The limiting spaces are waves with parallel rays and singular wave fronts. In particular, we consider the orbifolds AdS3 × S 3 /Γ, AdS5 × S 5 /Γ and AdS4,7 × S 7,4 /Γ where Γ acts on the sphere and/or the AdS factor. In the ppwave limit the wave fronts are the orbifolds C 2 /Γ, C 4 /Γ and R × C 4 /Γ, respectively. When desingularization is possible, we get asymptotically locally ppwave backgrounds (ALpp). The Penrose limit of orientifolds are also discussed. In the AdS5 × RP 5 case, the limiting singularity can be resolved by an EguchiHanson gravitational instanton. The ppwave limit of D3branes near singularities in Ftheory is also presented. Finally, we give the embedding of Ddimensional ppwaves in flat M 2,D space.
supersymmetric gauge theories with flavors,” Annals Phys
 Phases of N
, 2004
"... We present two results concerning the relation between poles and cuts by using the example of N = 1 U(Nc) gauge theories with matter fields in the adjoint, fundamental and antifundamental representations. The first result is the onshell possibility of poles, which are associated with flavors and on ..."
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Cited by 15 (4 self)
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We present two results concerning the relation between poles and cuts by using the example of N = 1 U(Nc) gauge theories with matter fields in the adjoint, fundamental and antifundamental representations. The first result is the onshell possibility of poles, which are associated with flavors and on the second sheet of the Riemann surface, passing through the branch cut and getting to the first sheet. The second result is the generalization of hepth/0311181 (Intriligator, Kraus, Ryzhov, Shigemori, and Vafa) to include flavors. We clarify when there are closed cuts and how to reproduce the results of the strong coupling analysis by matrix model, by setting the glueball field to zero from the beginning. We also make remarks on the possible stringy explanations of the results and on generalization to String theory can be a powerful tool to understand four dimensional supersymmetric gauge theory which exhibits rich dynamics and allows an exact analysis. In [1], using the generalized Konishi anomaly and matrix model [2], N = 1 supersymmetric U(Nc) gauge theory with matter fields in the adjoint, fundamental and antifundamental representations was studied.
Linearized hydrodynamics from probesources in the gauge string duality,” arXiv:0803.0081 [hepth
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Dynamics of baryons from string theory and vector dominance”, arXiv:0705.2632 [hepth
"... We consider a holographic model of QCD from string theory, à la Sakai and Sugimoto, and study baryons. In this model, mesons are collectively realized as a fivedimensional U(NF) = U(1) × SU(NF) YangMills field and baryons are classically identified as SU(NF) solitons with a unit Pontryagin numbe ..."
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We consider a holographic model of QCD from string theory, à la Sakai and Sugimoto, and study baryons. In this model, mesons are collectively realized as a fivedimensional U(NF) = U(1) × SU(NF) YangMills field and baryons are classically identified as SU(NF) solitons with a unit Pontryagin number and Nc electric charges. The soliton is shown to be very small in the large ’t Hooft coupling limit, allowing us to introduce an effective field B. Its coupling to the mesons are dictated by the soliton structure, and consists of a direct magnetic coupling to the SU(NF) field strength as well as a minimal coupling to the U(NF) gauge field. Upon the dimensional reduction, this effective action reproduces all interaction terms between nucleons and an infinite tower of mesons in a manner consistent with the large Nc expansion. We further find that all electromagnetic interactions, as inferred from the same effective action via a holographic prescription, are mediated by an infinite tower of vector mesons, rendering the baryon electromagnetic form factors completely
Towards a Holographic Model of ColorFlavor Locking Phase
, 909
"... Abstract: We demonstrate a holographic realization of colorflavor locking phase, using N = 4 SU(Nc) SYM coupled to N = 2 Nf fundamental hypermultiplets as an example. The gravity dual consists of Nc D3branes and Nf D7branes with world volume gauge field representing the baryon density. Treating a ..."
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Abstract: We demonstrate a holographic realization of colorflavor locking phase, using N = 4 SU(Nc) SYM coupled to N = 2 Nf fundamental hypermultiplets as an example. The gravity dual consists of Nc D3branes and Nf D7branes with world volume gauge field representing the baryon density. Treating a small number Ñc ⊂ Nc of D3branes as YangMills instantons on the D7branes, we consider possible potential(s) on their moduli space or equivalently the Higgs branch. We show that a nontrivial potential can be generated by including the backreaction of the baryonic density on the D7branes, this dynamically drives the instantons ( = D3branes) into dissolution. We interpret this as a colorflavor locking since the size of the instanton is the squark vev, and study the symmetry breaking patterns. Extending to finite temperature setup, we demonstrate that colorflavor locking persists, and the thermal
A Holographic QCD and Excited Baryons from String Theory,” arXiv:0804.2926
"... We study baryons of arbitrary isospin in a stringy holographic QCD model. In this D4D8 holographic setting, the flavor symmetry is promoted to a gauge symmetry in the bulk, and produces, as KK modes of the gauge field, pions and spin one mesons of low energy QCD. Baryons of arbitrary isospins are r ..."
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We study baryons of arbitrary isospin in a stringy holographic QCD model. In this D4D8 holographic setting, the flavor symmetry is promoted to a gauge symmetry in the bulk, and produces, as KK modes of the gauge field, pions and spin one mesons of low energy QCD. Baryons of arbitrary isospins are represented as instanton solitons with isospin and spin quantum numbers locked, in a manner similar to the Skyrmion model. The soliton picture leads to a natural effective field theory of arbitrary baryons interacting with mesons. Couplings of baryons to axial mesons, including pions, are dominated in the large Nc limit by a direct coupling to the flavor field strength in five dimensions. We delineate the relevant couplings and determine their strengths. This work generalizes part of Refs. [8, 10] to all excited baryons. Due to technical difficulties in introducing relativistic higher spin fields, we perform all computations in