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## Superconformal field theory on threebranes at a Calabi-Yau singularity (1998)

Venue: | Nucl. Phys. B |

Citations: | 676 - 34 self |

### Citations

5606 | The large N limit of superconformal field theories and supergravity
- Maldacena
- 1998
(Show Context)
Citation Context ...Joseph Henry Laboratories, Princeton University.1 Introduction Recently, Maldacena argued that the ‘t Hooft large N limit [1] of N = 4 SU(N) gauge theory is related to Type IIB strings on AdS5 × S 5 =-=[2]-=-. (For earlier work on relations between large N gauge theories and strings or supergravity, see [3, 4, 5, 6].) This correspondence was sharpened in [7, 8], where it was shown how to calculate the cor... |

2749 |
Gauge theory correlators from non-critical string theory
- Gubser, Klebanov, et al.
- 1998
(Show Context)
Citation Context ...ry is related to Type IIB strings on AdS5 × S 5 [2]. (For earlier work on relations between large N gauge theories and strings or supergravity, see [3, 4, 5, 6].) This correspondence was sharpened in =-=[7, 8]-=-, where it was shown how to calculate the correlation functions of gauge theory operators from the response of the Type IIB theory on AdS5 × S 5 to boundary conditions. An interesting generalization o... |

2339 |
Anti-de Sitter space and holography
- Witten
- 1998
(Show Context)
Citation Context ...ry is related to Type IIB strings on AdS5 × S 5 [2]. (For earlier work on relations between large N gauge theories and strings or supergravity, see [3, 4, 5, 6].) This correspondence was sharpened in =-=[7, 8]-=-, where it was shown how to calculate the correlation functions of gauge theory operators from the response of the Type IIB theory on AdS5 × S 5 to boundary conditions. An interesting generalization o... |

556 |
Hooft, “A planar diagram theory for strong interactions,” Nucl. Phys. B72
- ’t
- 1974
(Show Context)
Citation Context ...ymmetric gauge theory which we describe in detail. July 1998 ∗ On leave from Joseph Henry Laboratories, Princeton University.1 Introduction Recently, Maldacena argued that the ‘t Hooft large N limit =-=[1]-=- of N = 4 SU(N) gauge theory is related to Type IIB strings on AdS5 × S 5 [2]. (For earlier work on relations between large N gauge theories and strings or supergravity, see [3, 4, 5, 6].) This corres... |

296 |
de la Ossa
- Candelas, C
- 1990
(Show Context)
Citation Context ...y has eight fermionic symmetries – four ordinary supersymmetries and four superconformal symmetries. 3isolated Calabi-Yau singularity with that symmetry. A fairly obvious candidate is the “conifold” =-=[21, 22]-=- which for our purposes is the complex manifold C z 2 1 + z 2 2 + z 2 3 + z 2 4 = 0 (7) with an “ordinary double point” singularity at zi = 0. The zi transform in the fourdimensional representation of... |

224 |
Dirichlet Branes And Ramond-Ramond Charges,” Phys
- Polchinski
- 1995
(Show Context)
Citation Context ...mensions. We will find that the construction of the field theory is greatly facilitated by the observation that it is the infrared limit of the world volume theory on coincident Dirichlet threebranes =-=[10, 11]-=- placed at a conical singularity of a non-compact Calabi-Yau threefold. Thus, we are dealing with a special case of a connection between compactification on Einstein manifolds and the metric of threeb... |

177 | World-volume approach to absorption by non-dilatonic branes
- Klebanov
- 1997
(Show Context)
Citation Context ...‘t Hooft large N limit [1] of N = 4 SU(N) gauge theory is related to Type IIB strings on AdS5 × S 5 [2]. (For earlier work on relations between large N gauge theories and strings or supergravity, see =-=[3, 4, 5, 6]-=-.) This correspondence was sharpened in [7, 8], where it was shown how to calculate the correlation functions of gauge theory operators from the response of the Type IIB theory on AdS5 × S 5 to bounda... |

122 |
Nieuwenhuizen, “Mass spectrum of chiral ten dimensional N = 2 supergravity on
- Kim, Romans, et al.
- 1985
(Show Context)
Citation Context ... side, such operators were identified with modes of hα α (the trace of the metric on the compact manifold) and the four-form gauge potential on S 5 ; these are described by scalar spherical harmonics =-=[29]-=-. Thus, we expect that the spectrum of the chiral operators (33) should coincide with the spectrum of scalar spherical harmonics on SU(2) × SU(2)/U(1). Geometrically, this space is a product of two th... |

116 |
New Type IIB Vacua and Their F-Theory Interpretation
- Kehagias
- 1998
(Show Context)
Citation Context ..., we are dealing with a special case of a connection between compactification on Einstein manifolds and the metric of threebranes placed at Calabi-Yau singularities, which was recently pointed out in =-=[12]-=-. The subject has been investigated independently of the present work in [13]. We will also find some interesting relations with theories on D3-branes placed at orbifold singularities, which have been... |

116 |
Exactly Marginal Operators And Duality
- Leigh, Strassler
- 1995
(Show Context)
Citation Context ...ion Of The Superpotential To formulate a precise conjecture, it remains to discuss the meaning of the superpotential (17), which as a perturbation of free field theory is unrenormalizable. As in [25],=-=[26]-=-,[28], the basic idea is to first consider the theory with λ = 0. We want to understand its infrared dynamics. The U(1) factors in the gauge group have positive beta function and will decouple in the ... |

104 | String theory and classical absorption by three-branes
- Gubser, Klebanov, et al.
- 1997
(Show Context)
Citation Context ...‘t Hooft large N limit [1] of N = 4 SU(N) gauge theory is related to Type IIB strings on AdS5 × S 5 [2]. (For earlier work on relations between large N gauge theories and strings or supergravity, see =-=[3, 4, 5, 6]-=-.) This correspondence was sharpened in [7, 8], where it was shown how to calculate the correlation functions of gauge theory operators from the response of the Type IIB theory on AdS5 × S 5 to bounda... |

101 |
Bound states of strings and p-branes,” Nucl. Phys. B460
- Witten
- 1996
(Show Context)
Citation Context ...mensions. We will find that the construction of the field theory is greatly facilitated by the observation that it is the infrared limit of the world volume theory on coincident Dirichlet threebranes =-=[10, 11]-=- placed at a conical singularity of a non-compact Calabi-Yau threefold. Thus, we are dealing with a special case of a connection between compactification on Einstein manifolds and the metric of threeb... |

97 |
String expansion as large N expansion of gauge theories, Nucl.Phys. B523
- Bershadsky, Kakushadze, et al.
- 1998
(Show Context)
Citation Context ...n investigated independently of the present work in [13]. We will also find some interesting relations with theories on D3-branes placed at orbifold singularities, which have been extensively studied =-=[14, 16, 17]-=- and in particular related to AdS compactifications [15]. In general, these theories are related to Type IIB on AdS5×S 5 /Γ where Γ is a discrete subgroup of SU(4). It turns out that the coset 1space... |

96 |
Absorption by branes and Schwinger terms in the world volume theory,” Phys
- Gubser, Klebanov
- 1997
(Show Context)
Citation Context ...‘t Hooft large N limit [1] of N = 4 SU(N) gauge theory is related to Type IIB strings on AdS5 × S 5 [2]. (For earlier work on relations between large N gauge theories and strings or supergravity, see =-=[3, 4, 5, 6]-=-.) This correspondence was sharpened in [7, 8], where it was shown how to calculate the correlation functions of gauge theory operators from the response of the Type IIB theory on AdS5 × S 5 to bounda... |

86 |
On Duality
- Kutasov, Schwimmer
- 1995
(Show Context)
Citation Context ...f The Superpotential To formulate a precise conjecture, it remains to discuss the meaning of the superpotential (17), which as a perturbation of free field theory is unrenormalizable. As in [25],[26],=-=[28]-=-, the basic idea is to first consider the theory with λ = 0. We want to understand its infrared dynamics. The U(1) factors in the gauge group have positive beta function and will decouple in the infra... |

75 | 4d conformal field theories and strings on orbifolds,” Phys
- Kachru, Silverstein
- 1998
(Show Context)
Citation Context ...l also find some interesting relations with theories on D3-branes placed at orbifold singularities, which have been extensively studied [14, 16, 17] and in particular related to AdS compactifications =-=[15]-=-. In general, these theories are related to Type IIB on AdS5×S 5 /Γ where Γ is a discrete subgroup of SU(4). It turns out that the coset 1space T 1,1 = (SU(2) × SU(2))/U(1) may be obtained by taking ... |

51 |
Vainshtein, \Solution Of The Anomaly Puzzle In Susy Gauge Theories And The Wilson Operator Expansion
- Shifman, I
- 1986
(Show Context)
Citation Context ...ry of the operator: it is invariant under SU(2) × SU(2). Let us impose the conditions of conformal invariance on the theory with the superpotential (17). From the vanishing of the exact beta function =-=[29]-=- we get the equation 3C2(G) − ∑ i=Ak,Bl T(Ri)(1 − 2γi) = 0 . (18) Due to the SU(2) × SU(2) symmetry, the anomalous dimensions satisfy γA1 = γA2 , γB1 = γB2 . (19) The two anomalous dimensions, γA and ... |

33 |
New compactifications of chiral N
- Romans
- 1985
(Show Context)
Citation Context ...reduced supersymmetry. In the early days of Kaluza-Klein supergravity, Romans gave a partial list of five-dimensional Einstein manifolds together with their isometries and the degree of supersymmetry =-=[9]-=-. It is of obvious interest to find a field theoretic interpretation of the Romans compactifications, and in this paper we report on some progress in this direction. Most of the Einstein manifolds con... |

31 |
The large N limit of
- Aharony, Fayyazuddin, et al.
- 1998
(Show Context)
Citation Context ... ×Y6, with M4 being four-dimensional Minkowski space and Y6 as above. We consider N parallel D3-branes on M4 × P, with P the singularity of Y6. The resulting ten-dimensional space-time has the metric =-=[12, 20]-=- ds 2 = H −1/2 (r) [ −dt 2 + d⃗x 2] + H 1/2 (r) [ dr 2 + r 2 gijdx i dx j] , (4) 2where H(r) = 1 + L4 r 4 , L4 = 4πgsN(α ′ ) 2 . The near-horizon (r → 0) limit of the geometry is AdS5 × X5 and, as we... |

28 |
Rolling among Calabi-Yau vacua, Nucl. Phys. B330
- Candelas, Green, et al.
- 1990
(Show Context)
Citation Context ...y has eight fermionic symmetries – four ordinary supersymmetries and four superconformal symmetries. 3isolated Calabi-Yau singularity with that symmetry. A fairly obvious candidate is the “conifold” =-=[21, 22]-=- which for our purposes is the complex manifold C z 2 1 + z 2 2 + z 2 3 + z 2 4 = 0 (7) with an “ordinary double point” singularity at zi = 0. The zi transform in the fourdimensional representation of... |

21 |
String theory and quark confinement”, hep-th/9711002; “A few projects
- Polyakov
- 1992
(Show Context)
Citation Context |

17 |
A classification of compactifying solutions for d=11 supergravity,” Nucl. Phys. B241
- Castellani, Romans, et al.
- 1984
(Show Context)
Citation Context ...s SO(3) (acting on z3, z4, z5), so the space of solutions is SO(5)/SO(3). The conifold (38) is thus a cone over the homogeneous space SO(5)/SO(3). This homogeneous space is the example called V5,2 in =-=[33]-=- and in Table 6 of [31]. The isometries of the conifold are SO(5) × U(1); the U(1) acts by zi → γzi, and is a group of R-symmetries (just as for the example we studied in section 3) because it acts no... |

7 |
Electric-Magnetic Duality
- Seiberg
- 1995
(Show Context)
Citation Context ...anomalies in the R-symmetry cancel. 7From the point of view of either of the SU(N) factors, this is an SU(N) gauge theory with chiral multiplets transforming in 2N copies of N ⊕ N. That theory flows =-=[27]-=- to a nontrivial infrared fixed point at which the anomaly-free R-symmetry of the Lagrangian becomes the R-symmetry in the superconformal algebra. We assume that the same is true for an SU(N)×SU(N) th... |

7 |
456; Nucl. Phys. B359
- B277
- 1986
(Show Context)
Citation Context ...ry of the operator: it is invariant under SU(2) × SU(2). Let us impose the conditions of conformal invariance on the theory with the superpotential (17). From the vanishing of the exact beta function =-=[27]-=- we get the equation 3C2(G) − ∑ i=Ak,Bl T(Ri)(1 − γi) = 0 . (18) Due to the SU(2) × SU(2) symmetry, the anomalous dimensions satisfy γA1 = γA2 , γB1 = γB2 . (19) The two anomalous dimensions, γA and γ... |

2 |
Non-Spherical Horizons,” in preparation; presented by D. Morrison at Strings ’98
- Morrison, Plesser, et al.
- 1998
(Show Context)
Citation Context ... on Einstein manifolds and the metric of threebranes placed at Calabi-Yau singularities, which was recently pointed out in [12]. The subject has been investigated independently of the present work in =-=[13]-=-. We will also find some interesting relations with theories on D3-branes placed at orbifold singularities, which have been extensively studied [14, 16, 17] and in particular related to AdS compactifi... |