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## The C-deformation of gluino and non-planar diagrams

Venue: | Adv. Theor. Math. Phys |

Citations: | 63 - 1 self |

### Citations

789 | String theory and noncommutative geometry
- Seiberg, Witten
- 1999
(Show Context)
Citation Context ...ng the coupling to the N = 2 supergravity field. Does the graviphoton deform the gauge theory in a way similar to the Neveu-Schwarz two form Bµν generating noncommutativity of coordinates on D branes =-=[11,12]-=-? The relation for the topological string amplitudes and the F-terms for the type II string compactification was originally derived using the NSR formalism, where the graviphoton vertex operator in th... |

545 | Perturbative gauge theory as a string theory
- Witten
(Show Context)
Citation Context ...superpotential. Though the C-deformation violates Lorentz invariance, the deformed F-terms are Lorentz invariant and the Lorentz violation is screened in the IR. 11. Introduction Topological strings =-=[1]-=- and its connection to superstrings [2,3] have proven to be rather important for a better understanding of the dynamics of N = 1 supersymmetric gauge theories in four dimensions. In particular, the op... |

540 | Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes,
- Bershadsky, Cecotti, et al.
- 1994
(Show Context)
Citation Context ...n violates Lorentz invariance, the deformed F-terms are Lorentz invariant and the Lorentz violation is screened in the IR. 11. Introduction Topological strings [1] and its connection to superstrings =-=[2,3]-=- have proven to be rather important for a better understanding of the dynamics of N = 1 supersymmetric gauge theories in four dimensions. In particular, the open/closed topological string duality conj... |

324 |
Matrix models, topological strings and supersymmetric gauge theories
- Dijkgraaf, Vafa
(Show Context)
Citation Context ...erstood and has led to a striking connection between a wide class of N = 1 supersymmetric gauge theories and planar diagrams of matrix models (or more generally the associated bosonic gauge theories) =-=[8]-=-. However the open/closed string duality suggests an even more extensive insight into the dynamics of N = 1 supersymmetric gauge theory. In particular the closed string side is an N = 2 supersymmetric... |

309 |
Super-Poincaré covariant quantization of the superstring
- Berkovits
(Show Context)
Citation Context ...se of the covariant quantization of type II superstring compactified on a Calabi-Yau three-fold, which was developed in [14]. Compared with the covariant quantization of superstring in ten dimensions =-=[15]-=-, the formalism is substantially simpler for superstring compactified on a Calabi-Yau three-fold since the supersymmetry we need to make manifest is smaller. In fact, the four-dimensional part of the ... |

274 | On the gauge theory/geometry correspondence
- Gopakumar, Vafa
- 1999
(Show Context)
Citation Context ...n to be rather important for a better understanding of the dynamics of N = 1 supersymmetric gauge theories in four dimensions. In particular, the open/closed topological string duality conjectured in =-=[4]-=- and proven in [5] leads to some non-perturbative predictions for N = 1 gauge theories in 4 dimensions constructed as low energy limits of superstring theory [6]. Some of these predictions (coming fro... |

254 | Superstrings and topological strings at large
- Vafa
- 2001
(Show Context)
Citation Context ...ological string duality conjectured in [4] and proven in [5] leads to some non-perturbative predictions for N = 1 gauge theories in 4 dimensions constructed as low energy limits of superstring theory =-=[6]-=-. Some of these predictions (coming from genus 0 computations on the closed string side) relate to the superpotential for the glueball fields [7]. This relation has recently been better understood and... |

225 | Superstrings and Topological Strings at
- Vafa
(Show Context)
Citation Context ...mputation. A precise derivation of the connection is rather nontrivial, involving a sum over spin structure and nontrivial identities of theta functions [3]. A more economical derivation was found in =-=[13]-=- making use of the covariant quantization of type II superstring compactified on a Calabi-Yau three-fold, which was developed in [14]. Compared with the covariant quantization of superstring in ten di... |

187 | A large N duality via a geometric transition, - Cachazo, Intriligator, et al. - 2001 |

169 | Aspects of large N gauge theory dynamics as seen by string theory,” Phys
- Gross, Ooguri
- 1998
(Show Context)
Citation Context ...pend on M. Thus the ambiguity of the map between the matrix model and gauge theory data allow for such additions. Recall that in the string theory realization the wrapped brane corresponds to baryons =-=[27,28]-=- as the corresponding brane is pierced by N units of RR flux. Even though in the N = 1 theory these are not as part of the excitations of the theory (as one would have to supply the quarks as probes) ... |

151 | D-branes and the noncommutative torus
- Douglas, Hull
- 1998
(Show Context)
Citation Context ...ng the coupling to the N = 2 supergravity field. Does the graviphoton deform the gauge theory in a way similar to the Neveu-Schwarz two form Bµν generating noncommutativity of coordinates on D branes =-=[11,12]-=-? The relation for the topological string amplitudes and the F-terms for the type II string compactification was originally derived using the NSR formalism, where the graviphoton vertex operator in th... |

146 | Baryons and branes in anti de Sitter space,”
- Witten
- 1998
(Show Context)
Citation Context ...pend on M. Thus the ambiguity of the map between the matrix model and gauge theory data allow for such additions. Recall that in the string theory realization the wrapped brane corresponds to baryons =-=[27,28]-=- as the corresponding brane is pierced by N units of RR flux. Even though in the N = 1 theory these are not as part of the excitations of the theory (as one would have to supply the quarks as probes) ... |

134 | Knot invariants and topological string - Ooguri, Vafa |

113 |
Perturbative series and the moduli space of Riemann surfaces
- Penner
- 1988
(Show Context)
Citation Context ...pling constant of the gauge theory at the scale set by λ. It is interesting to note that (5.3) is the generating function for the Euler character of moduli space of Riemann surfaces with one puncture =-=[24,23]-=-. Note that the superpotential (5.3) is a generalization of the Veneziano-Yankielowicz superpotential [25], taking the C-deformation into account. The fact that many different powers of µ enter is bec... |

111 |
Nieuwenhuizen, “Non-commutative superspace from string theory,” Phys
- Boer, Grassi, et al.
(Show Context)
Citation Context ... pα¯pβ is not invariant under the supersymmetry but transforms into a total derivative on the worldsheet. Let 5 The result of this subsection has been generalized to other dimensions in a recent work =-=[21]-=-. 9us consider the combination ǫ ˙α ( Q ˙α + ¯ ) Q ˙α , which preserves the boundary conditions. We find [ δ α ′2 ∫ F αβ ] pα¯pβ = 2iα ′ ǫ ˙α F αβ ∫ d [Yα ˙α(pβ + ¯pβ)] where = h∑ i=1 4α ′ ǫ ˙α F αβ ... |

110 | Perturbative computation of glueball superpotentials,” arXiv:hep-th/0211017
- Dijkgraaf, Grisaru, et al.
(Show Context)
Citation Context ... will see how this arises in string theory and field theory context. The string theory derivation follows the setup of [2] and the more general field theory derivation follows the setup introduced in =-=[9]-=-. Even though the field theory argument is more general (and in particular includes field theories that are not known to be constructible in string theory context), the intuition and ideas coming from... |

95 |
Some aspects of deformations of supersymmetric field theories
- Ferrara, Lledó
(Show Context)
Citation Context ...dual field strength becomes complex valued when analytically continued to Minkowski space. 8rather than the standard Grassmannian algebra. Such deformation of the superspace has been studied earlier =-=[18,19,20]-=-, and it is interesting that it is realized in the context of string theory. 5 The presence of the factor α ′2 in (2.19) means that the deformation of the superspace does not survive the field theory ... |

84 |
Worldsheet Derivation of a Large
- Ooguri, Vafa
- 2002
(Show Context)
Citation Context ...ortant for a better understanding of the dynamics of N = 1 supersymmetric gauge theories in four dimensions. In particular, the open/closed topological string duality conjectured in [4] and proven in =-=[5]-=- leads to some non-perturbative predictions for N = 1 gauge theories in 4 dimensions constructed as low energy limits of superstring theory [6]. Some of these predictions (coming from genus 0 computat... |

63 | Covariant Quantization of the Green-Schwarz Superstring in a CalabiYau Background
- Berkovits
- 1994
(Show Context)
Citation Context ... of theta functions [3]. A more economical derivation was found in [13] making use of the covariant quantization of type II superstring compactified on a Calabi-Yau three-fold, which was developed in =-=[14]-=-. Compared with the covariant quantization of superstring in ten dimensions [15], the formalism is substantially simpler for superstring compactified on a Calabi-Yau three-fold since the supersymmetry... |

49 |
M-theory and topological strings. I,” arXiv:hep-th/9809187
- Gopakumar, Vafa
(Show Context)
Citation Context ...e topological string amplitudes do not depend on the choice of flux [6]. Thus we can ask how does turning on graviphoton field strength affect the N = 2 theory. This question was studied at length in =-=[26]-=-. The main idea is to relate the turning on of the graviphoton field strength, as giving rise to a correction to R2 terms which are captured by Schwinger like computation. Recall that graviphoton coup... |

40 |
Nieuwenhuizen, Speculations Concerning A Fermionic Substructure
- Schwarz, Van
- 1982
(Show Context)
Citation Context ...dual field strength becomes complex valued when analytically continued to Minkowski space. 8rather than the standard Grassmannian algebra. Such deformation of the superspace has been studied earlier =-=[17,18]-=-, and it is interesting that it is realized in the context of string theory. 5 The presence of the factor α ′2 in (2.19) means that the deformation of the superspace does not survive the field theory ... |

19 | Superstring threshold corrections to Yukawa couplings - Antoniadis, Gava, et al. - 1993 |

19 |
An e®ective lagrangian for the pure N = 1 supersymmetric Yang-Mills theory, Phys
- Veneziano, Yankielowicz
- 1982
(Show Context)
Citation Context ...ing function for the Euler character of moduli space of Riemann surfaces with one puncture [24,23]. Note that the superpotential (5.3) is a generalization of the Veneziano-Yankielowicz superpotential =-=[25]-=-, taking the C-deformation into account. The fact that many different powers of µ enter is because F ‘carries’ an R charge and with respect to that S/λ is neutral and so in principle arbitrary powers ... |

13 | D-brane dynamics in constant RamondRamond potentials and noncommutative geometry
- Cornalba, Costa, et al.
(Show Context)
Citation Context ...he worldsheet variables by pα → p ′ α = pα − iθ ˙α ∂Xα ˙α − 1 4 θ2 ∂θα, p ˙α → p ′ ˙α = p ˙α + iθ α ∂Xα ˙α − 1 2 θ2 ∂θ ˙α + 1 4 θ ˙α∂θ 2 , Xα ˙α → X ′ α ˙α = Xα ˙α + iθαθ ˙α + i ¯ θα ¯ θ ˙α. See also =-=[17]-=- for a related discussion. 6where · · · in the second line represents terms containing θ ˙α and θ 2 = ǫαβθ α θ β . The second set of supercharges ¯ Qα, ¯ Q ˙α are defined by replacing p, θ by ¯p, ¯ θ... |

12 |
A Critical Matrix Model At c = 1,” Mod
- Distler, Vafa
- 1991
(Show Context)
Citation Context ...his case, the partition function of the matrix model (5.2) is entirely given by the measure factor, log vol(U(M)), which has been shown [5] to give the partition function of c = 1 at self-dual radius =-=[23]-=-. We have (up to an addition of an irrelevant constant 1 12 λ2 logλ) F(S, λ 2 ) = 1 2 S2logS − 1 12 λ2log(S/λ) + ∑ B2g 2g(2g − 2) · g>1 λ2g S 2g−2 This can be written in a more unified form, up to an ... |

5 | Quantization of the superstring in Ramond-Ramond backgrounds
- Berkovits
(Show Context)
Citation Context ...e constant. They couple to the bulk and the boundaries of the string worldsheet as ∫ F αβ Jα ¯ ∮ Jβ + W α Jα, (2.10) where Jα, ¯ Jβ are the worldsheet currents for the spacetime supercharges Qα, ¯ Qβ =-=[16]-=-. We find it convenient to work in the chiral representation of supersymmetry, 3 in which they are given by Jα = pα, J ˙α = p ˙α − 2iθ α ∂Xα ˙α + · · ·, (2.11) 3 Our convention in this paper is relate... |

5 |
Non(anti)commutative superspace,” arXiv:hepth/0104190
- Klemm, Penati, et al.
(Show Context)
Citation Context ...dual field strength becomes complex valued when analytically continued to Minkowski space. 8rather than the standard Grassmannian algebra. Such deformation of the superspace has been studied earlier =-=[18,19,20]-=-, and it is interesting that it is realized in the context of string theory. 5 The presence of the factor α ′2 in (2.19) means that the deformation of the superspace does not survive the field theory ... |

2 |
Covariant supergraphs. 1
- Grisaru, Zanon
- 1985
(Show Context)
Citation Context ...raviphoton background. 154. Field theory limit The field theoretic computation of N = 1 glueball superpotential was performed in [9] using a suitable chiral superspace diagram technique developed in =-=[22]-=-. Let us briefly recall the relevant part of the computation: As in [9], we consider the computation in the context of an adjoint U(N) matter, with some superpotential, though the generalization to ar... |