Results 1  10
of
23
Extended SeibergWitten Theory and Integrable Hierarchy
"... The prepotential of the effective N = 2 superYangMills theory, perturbed in the ultraviolet by the descendents ∫ d4θ trΦk+1 of the singletrace chiral operators, is shown to be a particular taufunction of the quasiclassical Toda hierarchy. In the case of noncommutative U(1) theory (or U(N) theory ..."
Abstract

Cited by 30 (1 self)
 Add to MetaCart
(Show Context)
The prepotential of the effective N = 2 superYangMills theory, perturbed in the ultraviolet by the descendents ∫ d4θ trΦk+1 of the singletrace chiral operators, is shown to be a particular taufunction of the quasiclassical Toda hierarchy. In the case of noncommutative U(1) theory (or U(N) theory with 2N −2 fundamental hypermultiplets at the appropriate locus of the moduli space of vacua) or a theory on a single fractional D3 brane at the ADE singularity the hierarchy is the dispersionless Toda chain, and we present its explicit solution. Our results generalise the limit shape analysis of LoganSchepp and VershikKerov, support the prior work [1], which established the equivalence of these N = 2 theories with the topological A string on CP 1, and clarify the origin of the EguchiYang matrix integral. In the higher rank case we find an appropriate variant of the quasiclassical taufunction, show how the SeibergWitten curve is deformed by Toda flows, and fix the contact term ambiguity.
supersymmetric gauge theories with flavors,” Annals Phys
 Phases of N
, 2004
"... We present two results concerning the relation between poles and cuts by using the example of N = 1 U(Nc) gauge theories with matter fields in the adjoint, fundamental and antifundamental representations. The first result is the onshell possibility of poles, which are associated with flavors and on ..."
Abstract

Cited by 15 (4 self)
 Add to MetaCart
(Show Context)
We present two results concerning the relation between poles and cuts by using the example of N = 1 U(Nc) gauge theories with matter fields in the adjoint, fundamental and antifundamental representations. The first result is the onshell possibility of poles, which are associated with flavors and on the second sheet of the Riemann surface, passing through the branch cut and getting to the first sheet. The second result is the generalization of hepth/0311181 (Intriligator, Kraus, Ryzhov, Shigemori, and Vafa) to include flavors. We clarify when there are closed cuts and how to reproduce the results of the strong coupling analysis by matrix model, by setting the glueball field to zero from the beginning. We also make remarks on the possible stringy explanations of the results and on generalization to String theory can be a powerful tool to understand four dimensional supersymmetric gauge theory which exhibits rich dynamics and allows an exact analysis. In [1], using the generalized Konishi anomaly and matrix model [2], N = 1 supersymmetric U(Nc) gauge theory with matter fields in the adjoint, fundamental and antifundamental representations was studied.
Dbrane instantons and matrix models
, 2008
"... We point out that in some situations it is possible to use matrix model techniques a la DijkgraafVafa to perturbatively compute Dbrane instanton effects. This provides an explanation in terms of stringy instantons of the results in hepth/0311181. We check this proposal in some simple scenarios. W ..."
Abstract

Cited by 8 (1 self)
 Add to MetaCart
(Show Context)
We point out that in some situations it is possible to use matrix model techniques a la DijkgraafVafa to perturbatively compute Dbrane instanton effects. This provides an explanation in terms of stringy instantons of the results in hepth/0311181. We check this proposal in some simple scenarios. We point out some interesting consequences of this observation, such as the fact that it gives a perturbative way of computing stringy multiinstanton effects. It also provides a further interpretation of Dbrane instantons as residual instantons of higgsed supergroups.
U(1) Mediation of Flux Supersymmetry Breaking
, 2008
"... We study the mediation of supersymmetry breaking triggered by background fluxes in Type II string compactifications with N = 1 supersymmetry. The mediation arises due to an U(1) vector multiplet coupling to both a hidden supersymmetry breaking flux sector and a visible Dbrane sector. The required i ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
We study the mediation of supersymmetry breaking triggered by background fluxes in Type II string compactifications with N = 1 supersymmetry. The mediation arises due to an U(1) vector multiplet coupling to both a hidden supersymmetry breaking flux sector and a visible Dbrane sector. The required internal manifolds can be constructed by nonKähler resolutions of singular CalabiYau manifolds. The effective action encoding the U(1) coupling is then determined in terms of the global topological properties of the internal space. We investigate suitable local geometries for the hidden and visible sector in detail. This includes a systematic study of orientifold symmetries of del Pezzo surfaces realized in compact geometries after geometric transition. We construct compact examples admitting the key properties to realize flux supersymmetry breaking and U(1) mediation. Their toric realization allows us to analyze the geometry of curve classes and confirm the topological connection between the hidden and visible sector.
Orientifolds and the refined topological string
, 2012
"... We study refined topological string theory in the presence of orientifolds by counting secondquantized BPS states in Mtheory. This leads us to propose a new integrality condition for both refined and unrefined topological strings when orientifolds are present. We define the SO(2N) refined Chern ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
We study refined topological string theory in the presence of orientifolds by counting secondquantized BPS states in Mtheory. This leads us to propose a new integrality condition for both refined and unrefined topological strings when orientifolds are present. We define the SO(2N) refined ChernSimons theory which computes refined open string amplitudes for branes wrapping Seifert threemanifolds. We use the SO(2N) refined ChernSimons theory to compute new invariants of torus knots that generalize the Kauffman polynomials. At large N, the SO(2N) refined ChernSimons theory on S3 is dual to refined topological strings on an orientifold of the resolved conifold, generalizing the GopakumarSinhaVafa duality. Finally, we use the (2, 0) theory to define and solve refined ChernSimons theory for all ADE gauge groups.
Offshell M5 Brane, Perturbed SeibergWitten Theory,
, 801
"... marsano_at_theory.caltech.edu, kpapado_at_science.uva.nl, mshigemo_at_science.uva.nl We demonstrate that, in an appropriate limit, the offshell M5brane worldvolume action effectively captures the scalar potential of SeibergWitten theory perturbed by a small superpotential and, consequently, any n ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
marsano_at_theory.caltech.edu, kpapado_at_science.uva.nl, mshigemo_at_science.uva.nl We demonstrate that, in an appropriate limit, the offshell M5brane worldvolume action effectively captures the scalar potential of SeibergWitten theory perturbed by a small superpotential and, consequently, any nonsupersymmetric vacua that it describes. This happens in a similar manner to the emergence from M5’s of the scalar potential describing certain type IIB flux configurations [1]. We then construct exact nonholomorphic M5 configurations in the special case of SU(2) SeibergWitten theory deformed by a degree six superpotential which correspond to the recently discovered metastable vacua of Ooguri, Ookouchi, Park [2], and Pastras [3]. These solutions take the approximate form of a holomorphic SeibergWitten geometry with harmonic embedding along a transverse direction and allow us to obtain geometric intuition for local stability of the gauge theory vacua. As usual, dynamical processes in the gauge theory, such as the decay of nonsupersymmetric vacua, take on a different character in the M5 description which, due to issues of boundary conditions, typically involves runaway
Perturbed N = 2 Systems
, 2008
"... We geometrically engineer N = 2 theories perturbed by a superpotential by adding 3form flux with support at infinity to local CalabiYau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park [arXiv:0704.3613] to demonstrate that, by tuning the flux at infinity, ..."
Abstract
 Add to MetaCart
We geometrically engineer N = 2 theories perturbed by a superpotential by adding 3form flux with support at infinity to local CalabiYau geometries in type IIB. This allows us to apply the formalism of Ooguri, Ookouchi, and Park [arXiv:0704.3613] to demonstrate that, by tuning the flux at infinity, we can stabilize the dynamical complex structure moduli in a metastable, supersymmetrybreaking configuration. Moreover, we argue that this setup can arise naturally as a limit of a larger CalabiYau which separates into two weakly interacting regions; the flux in one region leaks into the other, where it appears to be supported at infinity and induces the desired superpotential. In our endeavor to confirm this picture in cases with many 3cycles, we also compute the CIVDV prepotential for arbitrary number of cuts up to
Effective SO Superpotential for N = 1 Theory with Nf Fundamental Matter
, 704
"... Motivated by the duality conjecture of Dijkgraaf and Vafa between supersymmetric gauge theories and matrix models, we derive the effective superpotential of N = 1 supersymmetric gauge theory with gauge group SO(Nc) and arbitrary tree level polynomial superpotential of one chiral superfield in the ad ..."
Abstract
 Add to MetaCart
Motivated by the duality conjecture of Dijkgraaf and Vafa between supersymmetric gauge theories and matrix models, we derive the effective superpotential of N = 1 supersymmetric gauge theory with gauge group SO(Nc) and arbitrary tree level polynomial superpotential of one chiral superfield in the adjoint representation and Nf fundamental matter multiplets. For a special point in the classical vacuum where the gauge group is unbroken, we show that the effective superpotential matches with that obtained from the geometric engineering approach.
Geometric Transitions and Dynamical SUSY Breaking
, 709
"... We show that the physics of Dbrane theories that exhibit dynamical SUSY breaking due to stringy instanton effects is well captured by geometric transitions, which recast the nonperturbative superpotential as a classical flux superpotential. This allows for simple engineering of Fayet, Polonyi, O’R ..."
Abstract
 Add to MetaCart
(Show Context)
We show that the physics of Dbrane theories that exhibit dynamical SUSY breaking due to stringy instanton effects is well captured by geometric transitions, which recast the nonperturbative superpotential as a classical flux superpotential. This allows for simple engineering of Fayet, Polonyi, O’Raifeartaigh, and other canonical models of supersymmetry breaking in which an exponentially small scale of breaking can be understood either as coming from stringy instantons or as arising from the classical dynamics of fluxes. September