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146
Toric Geometry, Sasaki–Einstein Manifolds and a new Infinite Class of AdS/CFT duals
"... Recently an infinite family of explicit Sasaki–Einstein metrics Y p,q on S 2 × S 3 has been discovered, where p and q are two coprime positive integers, with q < p. These give rise to a corresponding family of Calabi–Yau cones, which moreover are toric. Aided by several recent results in toric ge ..."
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Cited by 173 (15 self)
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Recently an infinite family of explicit Sasaki–Einstein metrics Y p,q on S 2 × S 3 has been discovered, where p and q are two coprime positive integers, with q < p. These give rise to a corresponding family of Calabi–Yau cones, which moreover are toric. Aided by several recent results in toric geometry, we show that these are Kähler quotients C 4 //U(1), namely the vacua of gauged linear sigma models with charges (p,p, −p + q, −p − q), thereby generalising the conifold, which is p = 1,q = 0. We present the corresponding toric diagrams and show that these may be embedded in the toric diagram for the orbifold C 3 /Zp+1 × Zp+1 for all q < p with fixed p. We hence find that the Y p,q manifolds are AdS/CFT dual to an infinite class of N = 1 superconformal field theories arising as infra–red (IR) fixed points of toric quiver gauge theories with gauge group SU(N) 2p. As a non–trivial example, we show that Y 2,1 is an explicit irregular Sasaki–Einstein metric on the horizon of the complex cone over the first del Pezzo surface. The dual quiver gauge theory has already been
Baryons and string creation from the fivebrane worldvolume action,” Nucl
 Phys. B
, 1999
"... We construct BPSexact solutions of the worldvolume BornInfeld plus WZW action of a D5brane in the background of N D3branes. The nontrivial background metric and RR fiveform field strength play a crucial role in the solution. When a D5brane is dragged across a stack of N D3branes a bundle of ..."
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Cited by 72 (7 self)
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We construct BPSexact solutions of the worldvolume BornInfeld plus WZW action of a D5brane in the background of N D3branes. The nontrivial background metric and RR fiveform field strength play a crucial role in the solution. When a D5brane is dragged across a stack of N D3branes a bundle of N fundamental strings joining the two types of branes is created, as in the HananyWitten effect. Our solutions give a detailed description of this bundle in terms of a D5brane wrapped on a sphere. We discuss extensions of these solutions which have an interpretation in terms of gauge theory multiquark states via the AdS/CFT correspondence.
The Cdeformation of gluino and nonplanar diagrams
 Adv. Theor. Math. Phys
"... We consider a deformation of N = 1 supersymmetric gauge theories in four dimensions, which we call the Cdeformation, where the gluino field satisfies a Cliffordlike algebra dictated by a selfdual twoform, instead of the standard Grassmannian algebra. The superpotential of the deformed gauge theo ..."
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Cited by 63 (1 self)
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We consider a deformation of N = 1 supersymmetric gauge theories in four dimensions, which we call the Cdeformation, where the gluino field satisfies a Cliffordlike algebra dictated by a selfdual twoform, instead of the standard Grassmannian algebra. The superpotential of the deformed gauge theory is computed by the full partition function of an associated matrix model (or more generally a bosonic gauge theory), including nonplanar diagrams. In this identification, the strength of the twoform controls the genus expansion of the matrix model partition function. For the case of pure N = 1 YangMills this deformation leads to the identification of the all genus partition function of c = 1 noncritical bosonic string at selfdual radius as the glueball superpotential. Though the Cdeformation violates Lorentz invariance, the deformed Fterms are Lorentz invariant and the Lorentz violation is screened in the IR. 1
Meson spectroscopy in ads/cft with flavour
 JHEP
"... Preprint typeset in JHEP style PAPER VERSION hepth/0304032 ..."
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Cited by 52 (4 self)
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Preprint typeset in JHEP style PAPER VERSION hepth/0304032
The gauge dual of Romans mass
 JHEP
"... We deform the recently proposed holographic duality between the ABJM N = 6 ChernSimonsmatter theory and type IIA string theory in AdS4 × CP3. We add a non–zero Romans mass F0, whose dual we identify as the sum of the Chern–Simons levels for the two gauge groups. One can naturally identify four dif ..."
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Cited by 41 (1 self)
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We deform the recently proposed holographic duality between the ABJM N = 6 ChernSimonsmatter theory and type IIA string theory in AdS4 × CP3. We add a non–zero Romans mass F0, whose dual we identify as the sum of the Chern–Simons levels for the two gauge groups. One can naturally identify four different theories, with different The gauge/gravity duality proposed recently in [1] (ABJM) is the first example in which the conformal field theory (CFT) is a three–dimensional theory with an explicit Lagrangian description. The CFT3 is a Chern–Simons theory coupled to matter fields. There are two gauge groups, with Chern–Simons levels k and −k. The gravity duals are
Warped strings: Selfdual flux and contemporary compactifications
"... String theory is a leading candidate for the quantum theory of gravitation and is the only serious unified theory of all the forces of physics. Additionally, string theory seems to be mathematically unique, and it is possible that all the parameters of physics could be determined by the dynamics of ..."
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Cited by 34 (3 self)
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String theory is a leading candidate for the quantum theory of gravitation and is the only serious unified theory of all the forces of physics. Additionally, string theory seems to be mathematically unique, and it is possible that all the parameters of physics could be determined by the dynamics of string theory. However, there are two intertwined problems. First is that string theory requires ten dimensions for mathematical consistency, so six must be compact or otherwise decoupled from the physics we observe. Also, there exist many different ground states of string theory, so it is difficult to make predictions that are generic to string theory. Therefore, it is crucial to gain a broad understanding of all the string theory vacua, particularly those compactified to four dimensions. In recent years, our understanding of string theory compactifications has expanded greatly to include many new classes of solutions. In this dissertation, I discuss type IIB string compactifications in which the threeform field strengths satisfy a selfduality condition on the internal manifold. I
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
Marginal and relevant deformations of N=4 field theories and noncommutative moduli spaces of vacua
, 2000
"... We study marginal and relevant supersymmetric deformations of the N = 4 superYangMills theory in four dimensions. Our primary innovation is the interpretation of the moduli spaces of vacua of these theories as noncommutative spaces. The construction of these spaces relies on the representation t ..."
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Cited by 24 (3 self)
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We study marginal and relevant supersymmetric deformations of the N = 4 superYangMills theory in four dimensions. Our primary innovation is the interpretation of the moduli spaces of vacua of these theories as noncommutative spaces. The construction of these spaces relies on the representation theory of the related quantum algebras, which are obtained from Fterm constraints. These field theories are dual to superstring theories propagating on deformations of the AdS5×S 5 geometry. We study Dbranes propagating in these vacua and introduce the appropriate notion of algebraic geometry for noncommutative spaces. The resulting moduli spaces of Dbranes have several novel features. In particular, they may be interpreted as symmetric products of noncommutative spaces. We show how mirror symmetry between these deformed geometries and orbifold theories follows from Tduality. Many features of the dual closed string theory may be identified within the noncommutative algebra. In particular, we make progress towards understanding the Ktheory necessary for backgrounds where the NeveuSchwarz antisymmetric tensor of the string is turned on, and we shed light on some aspects of discrete