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22
Notes on toric SasakiEinstein sevenmanifolds and AdS4/CFT3
"... We study the geometry and topology of two infinite families Y p,k of SasakiEinstein sevenmanifolds, that are expected to be AdS4/CFT3 dual to families of N = 2 superconformal field theories in three dimensions. These manifolds, labelled by two positive integers p and k, are Lens space bundles S 3 ..."
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Cited by 29 (3 self)
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We study the geometry and topology of two infinite families Y p,k of SasakiEinstein sevenmanifolds, that are expected to be AdS4/CFT3 dual to families of N = 2 superconformal field theories in three dimensions. These manifolds, labelled by two positive integers p and k, are Lens space bundles S 3 /Zp over CP 2 and CP 1 ×CP 1, respectively. The corresponding CalabiYau cones are toric. We present their toric diagrams and gauged linear sigma model charges in terms of p and k, and find that the Y p,k manifolds interpolate between certain orbifolds of the homogeneous spaces S 7,M 3,2 and Q 1,1,1.
Symmetrybreaking vacua and baryon condensates in ads/cft
, 2008
"... We study the gravity duals of symmetrybreaking deformations of superconformal field theories, AdS/CFT dual to Type IIB string theory on AdS5 × Y where Y is a SasakiEinstein manifold. In these vacua both conformal invariance and baryonic symmetries are spontaneously broken. We present a detailed di ..."
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Cited by 26 (7 self)
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We study the gravity duals of symmetrybreaking deformations of superconformal field theories, AdS/CFT dual to Type IIB string theory on AdS5 × Y where Y is a SasakiEinstein manifold. In these vacua both conformal invariance and baryonic symmetries are spontaneously broken. We present a detailed discussion of the supergravity moduli space, which involves flat form fields on asymptotically conical CalabiYau manifolds, and match this to the gauge theory vacuum moduli space. We discuss certain linearised fluctuations of the moduli, identifying the Goldstone bosons associated with spontaneous breaking of nonanomalous baryonic symmetries. The remaining moduli fields are related to spontaneous breaking of anomalous baryonic symmetries. We also elaborate on the proposal that computing condensates of baryon operators is equivalent to computing the partition function of a noncompact Euclidean D3brane in the background supergravity
Holographic flows in nonAbelian Tdual geometries.
 Journal of High Energy Physics,
, 2015
"... Abstract: We use nonAbelian Tduality to construct new N = 1 solutions of type IIA supergravity (and their Mtheory lifts) that interpolate between AdS 5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG flows between conformal fixed points. Along the way ..."
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Cited by 3 (3 self)
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Abstract: We use nonAbelian Tduality to construct new N = 1 solutions of type IIA supergravity (and their Mtheory lifts) that interpolate between AdS 5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG flows between conformal fixed points. Along the way we give an elegant formulation of nonAbelian Tduality when acting on a wide class of backgrounds, including those corresponding to such flows, in terms of their SU(2) structure.
RICCIFLAT KÄHLER METRICS ON CREPANT RESOLUTIONS OF Kähler Cones
, 2008
"... We prove that a crepant resolution π: Y → X of a Ricciflat Kähler cone X admits a complete Ricciflat Kähler metric asymptotic to the cone metric in every Kähler class in H2 c (Y, R). A Kähler cone (X, ¯g) is a metric cone over a Sasaki manifold (S, g), i.e. X = C(S): = S × R>0 with ¯g = dr2 +r ..."
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Cited by 1 (1 self)
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We prove that a crepant resolution π: Y → X of a Ricciflat Kähler cone X admits a complete Ricciflat Kähler metric asymptotic to the cone metric in every Kähler class in H2 c (Y, R). A Kähler cone (X, ¯g) is a metric cone over a Sasaki manifold (S, g), i.e. X = C(S): = S × R>0 with ¯g = dr2 +r2g, and (X, ¯g) is Ricciflat precisely when (S, g) Einstein of positive scalar curvature. This result contains as a subset the existence of ALE Ricciflat Kähler metrics on crepant resolutions π: Y → X = Cn /Γ, with Γ ⊂ SL(n, C), due to P. Kronheimer (n = 2) and D. Joyce (n> 2). We then consider the case when X = C(S) is toric. It is a result of A. Futaki, H. Ono, and G. Wang that any Gorenstein toric Kähler cone admits a Ricciflat Kähler cone metric. It follows that if a toric Kähler cone X = C(S) admits a crepant resolution π: Y → X, then Y admits a T ninvariant Ricciflat Kähler metric asymptotic to the cone metric (X, ¯g) in every Kähler class in H2 c(Y, R). A crepant resolution, in this context, is a simplicial fan refining the convex polyhedral cone defining X. We then list some examples which are easy to construct using toric geometry.
Un)Higgsing the M2brane
 JHEP
, 2010
"... All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
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Cited by 1 (0 self)
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All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.
Gauge Theory RG Flows . . .
, 2008
"... We study gaugestring duality of D3branes localized at a point on the resolution of the ALE orbifold C 3 /Z3. By explicitly solving for the warp factor, we demonstrate the holographic RG flow from AdS5 × S 5 /Z3 (far away from the resolution) to the usual AdS5 × S 5 (close to the stack). On the gau ..."
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We study gaugestring duality of D3branes localized at a point on the resolution of the ALE orbifold C 3 /Z3. By explicitly solving for the warp factor, we demonstrate the holographic RG flow from AdS5 × S 5 /Z3 (far away from the resolution) to the usual AdS5 × S 5 (close to the stack). On the gauge theory side, this maps to the flow between the quiver gauge theory and N = 4 super YangMills. We present two possible scenarios for this RG flow depending on the choice of the VEVs. In particular, one of the scenarios proceeds by two steps involving both Higgsing and
Gauge Theory RG Flows from . . .
, 2008
"... We study gaugestring duality of D3branes localized at a point on the resolution of the ALE orbifold C 3 /Z3. By explicitly solving for the warp factor, we demonstrate the holographic RG flow from AdS5 × S 5 /Z3 (far away from the resolution) to the usual AdS5 × S 5 (close to the stack). On the gau ..."
Abstract
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We study gaugestring duality of D3branes localized at a point on the resolution of the ALE orbifold C 3 /Z3. By explicitly solving for the warp factor, we demonstrate the holographic RG flow from AdS5 × S 5 /Z3 (far away from the resolution) to the usual AdS5 × S 5 (close to the stack). On the gauge theory side, this maps to the flow between the quiver gauge theory and N = 4 super YangMills. We present two possible scenarios for this RG flow depending on the choice of the VEVs. In particular, one of the scenarios proceeds by two steps involving both Higgsing and