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254
Brane/Flux Annihilation and the String Dual of a NonSupersymmetric Field Theory
, 2006
"... We consider the dynamics of p antiD3 branes inside the KlebanovStrassler geometry, the deformed conifold with M units of RR 3form flux around the S 3. We find that for p << M the system relaxes to a nonsupersymmetric NS 5brane “giant graviton ” configuration, which is classically stable, b ..."
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Cited by 170 (18 self)
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We consider the dynamics of p antiD3 branes inside the KlebanovStrassler geometry, the deformed conifold with M units of RR 3form flux around the S 3. We find that for p << M the system relaxes to a nonsupersymmetric NS 5brane “giant graviton ” configuration, which is classically stable, but quantum mechanically can tunnel to a nearby supersymmetric vacuum with M −p D3 branes. This decay mode is exponentially suppressed and proceeds via the nucleation of an NS 5brane bubble wall. We propose a dual field theory interpretation of the decay as the transition between a nonsupersymmetric “baryonic” branch and a supersymmetric “mesonic” branch of the corresponding SU(2M − p) × SU(M − p) low energy gauge theory. The NS 5brane tunneling process also provides a simple visualization of the The search for calculable and nontrivial nonsupersymmetric string vacua remains a problem of basic interest in string theory. In the context of AdS/CFT duality [1], this is related to the construction of gravitational “antiholographic” descriptions for nonsupersymmetric 4d quantum gauge theories. Here, we describe the construction of a simple nonsupersymmetric
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. ..."
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Cited by 131 (24 self)
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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
Nongeometric Flux Compactifications
, 2006
"... We investigate a simple class of type II string compactifications which incorporate nongeometric “fluxes” in addition to “geometric flux” and the usual Hfield and RR fluxes. These compactifications are nongeometric analogues of the twisted torus. We develop Tduality rules for NSNS geometric and ..."
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Cited by 129 (5 self)
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We investigate a simple class of type II string compactifications which incorporate nongeometric “fluxes” in addition to “geometric flux” and the usual Hfield and RR fluxes. These compactifications are nongeometric analogues of the twisted torus. We develop Tduality rules for NSNS geometric and nongeometric fluxes, which we use to construct a superpotential for the dimensionally reduced fourdimensional theory. The resulting structure is invariant under Tduality, so that the distribution of vacua in the IIA and IIB theories is identical when nongeometric fluxes are included. This gives a concrete framework in which to investigate the possibility that generic string compactifications may be nongeometric in any duality frame. The framework developed in this paper also provides some concrete hints for how mirror symmetry can be generalized to compactifications with arbitrary Hflux, whose mirrors are generically nongeometric.
The refined topological vertex
, 2009
"... We define a refined topological vertex which depends in addition on a parameter, which physically corresponds to extending the selfdual graviphoton field strength to a more general configuration. Using this refined topological vertex we compute, using geometric engineering, a twoparameter (equivar ..."
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Cited by 90 (11 self)
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We define a refined topological vertex which depends in addition on a parameter, which physically corresponds to extending the selfdual graviphoton field strength to a more general configuration. Using this refined topological vertex we compute, using geometric engineering, a twoparameter (equivariant) instanton expansion of gauge theories which reproduce the results of Nekrasov. The refined vertex is also expected to be related to Khovanov knot invariants.
Mirror symmetric SU(3)structure manifolds with NS fluxes
"... Unité mixte du CNRS et de l’EP, UMR 7644 ..."
Orientifolds of K3 and CalabiYau manifolds with intersecting Dbranes
 JHEP
"... We investigate orientifolds of type II string theory on K3 and CalabiYau 3folds with intersecting Dbranes wrapping special Lagrangian cycles. We determine quite generically the chiral massless spectrum in terms of topological invariants and discuss both orbifold examples and algebraic realization ..."
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Cited by 85 (16 self)
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We investigate orientifolds of type II string theory on K3 and CalabiYau 3folds with intersecting Dbranes wrapping special Lagrangian cycles. We determine quite generically the chiral massless spectrum in terms of topological invariants and discuss both orbifold examples and algebraic realizations in detail. Intriguingly, the developed techniques provide an elegant way to figure out the chiral sector of orientifold models without computing any explicit string partition function. As a new example we derive a nonsupersymmetric Standardlike Model from an orientifold of type IIA on the quintic CalabiYau 3fold with wrapped D6branes. In the case of supersymmetric intersecting brane models on CalabiYau manifolds we discuss the Dterm and Fterm potentials, the effective gauge couplings and the GreenSchwarz mechanism. The mirror symmetric formulation of this construction is provided within type IIB theory. We finally include a short discussion about the lift of these models from type IIB on K3 to Ftheory and from type IIA on CalabiYau 3folds to Mtheory on G2 manifolds. 06/2002
BPS Action and Superpotential for Heterotic String Compactifications with Fluxes
, 2003
"... We consider N = 1 compactifications to four dimensions of heterotic string theory in the presence of fluxes. We show that up to order O (α ′2) the associated action can be written as a sum of squares of BPSlike quantities. In this way we prove that the equations of motion are solved by backgrounds ..."
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Cited by 81 (4 self)
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We consider N = 1 compactifications to four dimensions of heterotic string theory in the presence of fluxes. We show that up to order O (α ′2) the associated action can be written as a sum of squares of BPSlike quantities. In this way we prove that the equations of motion are solved by backgrounds which fulfill the supersymmetry conditions and the Bianchi identities. We also argue for the expression of the related superpotential and discuss the radial modulus
Topological Mtheory as Unification of Form Theories of Gravity
, 2004
"... We introduce a notion of topological Mtheory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G2 holonomy metrics on 7manifolds, obtained from a topological action for a 3form gauge field introduced by Hitchin. We show tha ..."
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Cited by 70 (6 self)
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We introduce a notion of topological Mtheory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G2 holonomy metrics on 7manifolds, obtained from a topological action for a 3form gauge field introduced by Hitchin. We show that by reductions of this 7dimensional theory one can classically obtain 6dimensional topological A and B models, the topological sector of loop quantum gravity in 4 dimensions, and ChernSimons gravity in 3 dimensions. We also find that the 7dimensional Mtheory perspective sheds some light on the fact that the topological string partition function is a wavefunction, as well as on Sduality between the A and B models. The degrees of freedom of the A and B models appear as conjugate variables in the 7dimensional theory. Finally, from the topological Mtheory perspective we find hints of an intriguing holographic link between nonsupersymmetric YangMills in
Unitary and complex matrix models as 1d type 0 strings
, 2003
"... We propose that the double scaling behavior of the unitary matrix models, and that of the complex matrix models, is related to type 0B and 0A fermionic string theories. The particular backgrounds involved correspond to ĉ < 1 matter coupled to superLiouville theory. We examine in detail the ĉ = 0 ..."
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Cited by 69 (10 self)
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We propose that the double scaling behavior of the unitary matrix models, and that of the complex matrix models, is related to type 0B and 0A fermionic string theories. The particular backgrounds involved correspond to ĉ < 1 matter coupled to superLiouville theory. We examine in detail the ĉ = 0 or pure supergravity case, which is related to the double scaling limit around the GrossWitten transition, and find that reversing the sign of the Liouville superpotential interchanges the 0A and 0B theories. We also find smooth transitions between weakly coupled string backgrounds with Dbranes, and backgrounds with RamondRamond fluxes only. Finally, we discuss matrix models with multicritical potentials that are conjectured to correspond to 0A/0B string theories based on (2, 4k) superminimal models.