Results 1  10
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15
On low rank classical groups in string theory, gauge theory and matrix models,” Nucl
 Phys. B
, 2004
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Current Correlators for General Gauge Mediation
 Nucl. Phys. B
"... In the gauge mediation mechanism, the effects of the hidden sector are characterized by a set of correlation functions of the global symmetry current of the hidden sector. We present methods to compute these correlators in cases with strongly coupled hidden sectors. Several Gauge mediation has been ..."
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In the gauge mediation mechanism, the effects of the hidden sector are characterized by a set of correlation functions of the global symmetry current of the hidden sector. We present methods to compute these correlators in cases with strongly coupled hidden sectors. Several Gauge mediation has been an attractive mechanism for mediating the supersymmetry breaking effects. Recently, Meade, Seiberg and Shih [1] presented a very general definition of the gauge mediation mechanism that includes most models with the supersymmetry breaking sector and the messengers, and models with the direct mediation. They also computed several
Chiral rings, anomalies and electricmagnetic duality
 JHEP
, 2004
"... We study electric–magnetic duality in the chiral ring of a supersymmetric U(Nc) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for the adjoint and the mesons. We find the magnetic solution corresponding to both the pseudoconfining and higgs ..."
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We study electric–magnetic duality in the chiral ring of a supersymmetric U(Nc) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for the adjoint and the mesons. We find the magnetic solution corresponding to both the pseudoconfining and higgs electric vacua. By means of the Dijkgraaf–Vafa method, we match the effective glueball superpotentials and show that in some cases duality works exactly offshell. We give also a picture of the analytic structure of the resolvents in the magnetic theory, as we smoothly interpolate between different higgs vacua on the electric side. August
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 ..."
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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.
SLACPUB10180 Matrix model, Kutasov duality and Factorization of SeibergWitten Curves ∗
, 2003
"... We study the duality of N = 1 gauge theories in the presence of a massless adjoint field. We calculate the superpotential using the factorization method and compare with the result obtained by applying Kutasov duality. The latter result is just the leading term of the former, indicating that Kutasov ..."
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We study the duality of N = 1 gauge theories in the presence of a massless adjoint field. We calculate the superpotential using the factorization method and compare with the result obtained by applying Kutasov duality. The latter result is just the leading term of the former, indicating that Kutasov duality is exact only in the IR limit as claimed in the original literature. We also study various checks for the equivalence of the calculational methods developed recently: factorization methods, diagrammatic expansion, loop equations, integrating fluxes. Work supported partially by the Department of Energy under contract number DEAC0376SF005515 and by the Deutsche Forschungsgemeinschaft.
IFUPTH/200915 On Confinement Index
, 909
"... The smallest integer t for which the Wilson loop W t fails to exhibit area law is known as the confinement index of a given field theory. The confinement index provides us with subtle information on the vacuum properties of the system. We study the behavior of the Wilson and ’t Hooft loops and compu ..."
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The smallest integer t for which the Wilson loop W t fails to exhibit area law is known as the confinement index of a given field theory. The confinement index provides us with subtle information on the vacuum properties of the system. We study the behavior of the Wilson and ’t Hooft loops and compute the confinement index in a wide class of N = 1 supersymmetric gauge theories. All possible electric and magnetic screenings are taken into account. The results found are consistent with the θ periodicity, and whenever such a check Confinement is one of the fascinating and longstanding problems of the elementary particle physics today. A widely accepted mechanism for confinement in QCD is the dual Meissner effect caused by condensation of some field with a magnetic charge. A power of supersymmetry sometimes gives us a quantitative argument for the dual Meissner effect. The celebrated work
Graduate Group Chairpersonc ○ Abstract Aspects of Supersymmetric Gauge Theory and String Theory
, 2004
"... This thesis consists of two parts. In the first part we study some topics in N = 1 supersymmeric gauge theory and the relation to matrix models. We review the relevant nonperturbative techniques for computing effective superpotential, such as SeibergWitten curve. Then we review the proposal of Dij ..."
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This thesis consists of two parts. In the first part we study some topics in N = 1 supersymmeric gauge theory and the relation to matrix models. We review the relevant nonperturbative techniques for computing effective superpotential, such as SeibergWitten curve. Then we review the proposal of Dijkgraaf and Vafa that relates the glueball superpotentials to the computation in matrix models. We then consider a case of multitrace superpotential. We perform the perturbative computation of glueball superpotential in this case and explain the subtlety in identifying the glueball superfield. We also use these techniques to study phases of N = 1 gauge theory with flavors. In the second part we study topics in AdS/CFT correspondence and its plane wave limit. We review the plane wave geometry and BMN operators that corresponding to string modes. Then we study string interactions in the case of a highly curved plane wave background, and demonstrate the agreements between calculations of string interaction amplitudes in the two dual theories. Finally we study D3brane giant gravitons and open string attached to them. Giant gravitons are nonperturbative
hepth/0701087 Factorization of SeibergWitten Curves with Fundamental Matter
, 2007
"... We present an explicit construction of the factorization of SeibergWitten curves for N = 2 theory with fundamental flavors. We first rederive the exact results for the case of complete factorization, and subsequently derive new results for the case with breaking of gauge symmetry U(Nc) → U(N1) ×U( ..."
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We present an explicit construction of the factorization of SeibergWitten curves for N = 2 theory with fundamental flavors. We first rederive the exact results for the case of complete factorization, and subsequently derive new results for the case with breaking of gauge symmetry U(Nc) → U(N1) ×U(N2). We also show that integrality of periods is necessary and sufficient for factorization in the case of general gauge symmetry breaking. Finally, The study of supersymmetric gauge theories has provided many new insights into nonperturbative phenomena in gauge theories. The constraints imposed by supersymmetry combined with other simplifications and symmetries have made it possible to obtain exact nonperturbative results for at least some quantities in these gauge theories. In particular,
hepth/0405101 Supersymmetric Gauge Theories with Flavors and Matrix Models
, 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 ..."
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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.
TITHEP512 hepth/0312162 More on N = 1 Matrix Model Curve for Arbitrary N
, 2004
"... Using both the matrix model prescription and the strongcoupling approach, we describe the intersections of n = 0 and n = 1 nondegenerated branches for quartic (polynomial of adjoint matter) treelevel superpotential in N = 1 supersymmetric SO(N)/USp(2N) gauge theories with massless flavors. We als ..."
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Using both the matrix model prescription and the strongcoupling approach, we describe the intersections of n = 0 and n = 1 nondegenerated branches for quartic (polynomial of adjoint matter) treelevel superpotential in N = 1 supersymmetric SO(N)/USp(2N) gauge theories with massless flavors. We also apply the method to the degenerated branch. The general matrix model curve on the two cases we obtain is valid for arbitrary N and extends the previous work from strongcoupling approach. For SO(N) gauge theory with equal massive flavors, we also obtain the matrix model curve on the degenerated branch for arbitrary N. Finally we discuss on the intersections of n = 0 and n = 1 nondegenerated branches for equal massive flavors. 1 Address after Jan. 5, 2004: School of Natural Sciences, Institute for Advanced Study, Olden Lane, Princeton,