Results 1  10
of
207
The topological vertex
, 2003
"... We construct a cubic field theory which provides all genus amplitudes of the topological Amodel for all noncompact toric CalabiYau threefolds. The topology of a given Feynman diagram encodes the topology of a fixed CalabiYau, with Schwinger parameters playing the role of Kähler classes of the th ..."
Abstract

Cited by 169 (24 self)
 Add to MetaCart
(Show Context)
We construct a cubic field theory which provides all genus amplitudes of the topological Amodel for all noncompact toric CalabiYau threefolds. The topology of a given Feynman diagram encodes the topology of a fixed CalabiYau, with Schwinger parameters playing the role of Kähler classes of the threefold. We interpret this result as an operatorial computation of the amplitudes in the Bmodel mirror which is the quantum KodairaSpencer theory. The only degree of freedom of this theory is an unconventional chiral scalar on a Riemann surface. In this setup we identify the Bbranes on the mirror Riemann
Fourdimensional String Compactifications with DBranes, Orientifolds and Fluxes
"... This review article provides a pedagogical introduction into various classes of chiral string compactifications to four dimensions with Dbranes and fluxes. The main concern is to provide all necessary technical tools to explicitly construct fourdimensional orientifold vacua, with the final aim to ..."
Abstract

Cited by 149 (15 self)
 Add to MetaCart
(Show Context)
This review article provides a pedagogical introduction into various classes of chiral string compactifications to four dimensions with Dbranes and fluxes. The main concern is to provide all necessary technical tools to explicitly construct fourdimensional orientifold vacua, with the final aim to come as close as possible to the supersymmetric Standard Model. Furthermore, we outline the available methods to derive the resulting fourdimensional effective action. Finally, we summarize recent attempts to address the
Spacetime Instanton Corrections in 4D String Vacua (The Seesaw Mechanism for DBrane Models)
, 2006
"... We systematically investigate instanton corrections from wrapped Euclidean Dbranes to the matter field superpotential of various classes of N=1 supersymmetric Dbrane models in four dimensions. Both gauge invariance and counting fermionic zero modes provide strong constraints on the allowed nonper ..."
Abstract

Cited by 139 (28 self)
 Add to MetaCart
We systematically investigate instanton corrections from wrapped Euclidean Dbranes to the matter field superpotential of various classes of N=1 supersymmetric Dbrane models in four dimensions. Both gauge invariance and counting fermionic zero modes provide strong constraints on the allowed nonperturbative superpotential couplings. We outline how the complete instanton computation boils down to the computation of open string disc diagrams for boundary changing operators multiplied by a oneloop vacuum diagram. For concreteness we focus on E2instanton effects in Type IIA vacua with intersecting D6branes, however the same structure emerges for Type IIB and heterotic vacua. The instantons wrapping rigid cycles can potentially destabilise the vacuum or generate perturbatively absent matter couplings such as proton decay operators, µparameter or righthanded neutrino Majorana mass terms. The latter allow the realization of the seesaw mechanism for MSSM like intersecting Dbrane models.
Disk instantons, mirror symmetry and the duality web
, 2001
"... We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of Dbranes wrapped over Lagrangian cycles of noncompact CalabiYau 3folds. Along the way we clarify the notion of “flat coordinates” for the boundary theory. We also discover ..."
Abstract

Cited by 137 (25 self)
 Add to MetaCart
(Show Context)
We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of Dbranes wrapped over Lagrangian cycles of noncompact CalabiYau 3folds. Along the way we clarify the notion of “flat coordinates” for the boundary theory. We also discover an integer IR ambiguity needed to define the quantum theory of Dbranes wrapped over noncompact Lagrangian submanifolds. In the large N dual ChernSimons theory, this ambiguity is mapped to the UV choice of the framing of the knot. In a type IIB dual description involving (p, q) 5branes, disk instantons of type IIA get mapped to (p, q) string instantons. The Mtheory lift of these results lead to computation of superpotential terms generated by M2 brane instantons wrapped over 3cycles of certain manifolds of G2 holonomy.
Matrix Model as a Mirror of ChernSimons Theory
, 2002
"... Using mirror symmetry, we show that ChernSimons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more conventional canonical quantization of ChernSimons theory. ..."
Abstract

Cited by 134 (17 self)
 Add to MetaCart
Using mirror symmetry, we show that ChernSimons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more conventional canonical quantization of ChernSimons theory. Moreover, large N dualities in this context lead to computation of all genus Amodel topological amplitudes on toric CalabiYau manifolds in terms of matrix integrals. In the context of type IIA superstring compactifications on these CalabiYau manifolds with wrapped D6 branes (which are dual to Mtheory on G2 manifolds) this leads to engineering and solving Fterms for N = 1 supersymmetric gauge theories with superpotentials involving certain multitrace operators
Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
, 2006
"... ..."
Yukawa couplings in intersecting Dbrane models
 JHEP
"... Abstract: We compute the Yukawa couplings among chiral fields in toroidal Type II compactifications with wrapping D6branes intersecting at angles. Those models can yield realistic standard model spectrum living at the intersections. The Yukawa couplings depend both on the Kähler and open string mod ..."
Abstract

Cited by 79 (9 self)
 Add to MetaCart
(Show Context)
Abstract: We compute the Yukawa couplings among chiral fields in toroidal Type II compactifications with wrapping D6branes intersecting at angles. Those models can yield realistic standard model spectrum living at the intersections. The Yukawa couplings depend both on the Kähler and open string moduli but not on the complex structure. They arise from worldsheet instanton corrections and are found to be given by products of complex Jacobi theta functions with characteristics. The Yukawa couplings for a particular intersecting brane configuration yielding the chiral spectrum of the MSSM are computed as an example. We also show how our methods can be extended to compute Yukawa couplings on certain classes of elliptically fibered CY manifolds which are mirror to complex cones over del Pezzo surfaces. We find that the Yukawa couplings in intersecting D6brane models have a mathematical interpretation in the context of homological mirror symmetry. In particular, the computation of such Yukawa couplings is related to the construction of
Ftheory flux, destabilization of orientifolds and soft terms on D7branes,” arXiv:hepth/0501139
"... We use Ftheory to derive a general expression for the flux potential of type II compactifications with D7/D3 branes, including open string moduli and 2form fluxes on the branes. Our main example is Ftheory on K3 × K3 and its orientifold limit T 2 /Z2 × K3. The full scalar potential cannot be deri ..."
Abstract

Cited by 66 (10 self)
 Add to MetaCart
(Show Context)
We use Ftheory to derive a general expression for the flux potential of type II compactifications with D7/D3 branes, including open string moduli and 2form fluxes on the branes. Our main example is Ftheory on K3 × K3 and its orientifold limit T 2 /Z2 × K3. The full scalar potential cannot be derived from the bulk superpotential W = ∫ Ω ∧ G3 and generically destabilizes the orientifold. Generically all open and closed string moduli are fixed, except for a volume factor. An alternative formulation of the problem in terms of the effective supergravity is given and we construct an explicit map between the Ftheory fluxes and gaugings. We use the superpotential to compute the effective action for flux compactifications on orbifolds, including the µterm and softbreaking terms on the D7brane worldvolume. January
Matrix models, geometric engineering and elliptic genera
, 2008
"... We compute the prepotential of N = 2 supersymmetric gauge theories in four dimensions obtained by toroidal compactifications of gauge theories from 6 dimensions, as a function of Kähler and complex moduli of T². We use three different methods to obtain this: matrix models, geometric engineering and ..."
Abstract

Cited by 66 (18 self)
 Add to MetaCart
We compute the prepotential of N = 2 supersymmetric gauge theories in four dimensions obtained by toroidal compactifications of gauge theories from 6 dimensions, as a function of Kähler and complex moduli of T². We use three different methods to obtain this: matrix models, geometric engineering and instanton calculus. Matrix model approach involves summing up planar diagrams of an associated gauge theory on T². Geometric engineering involves considering Ftheory on elliptic threefolds, and using topological vertex to sum up worldsheet instantons. Instanton calculus involves computation of elliptic genera of instanton moduli spaces on R 4. We study the compactifications of N = 2 ∗ theory in detail and establish equivalence of all these three approaches in this case. As a byproduct we geometrically engineer theories with massive adjoint fields. As one application, we show that the moduli space of mass deformed M5branes wrapped on T² combines the Kähler and complex moduli of T² String theory has been rather successful in providing insights into the dynamics of supersymmetric